MATHEMATICS-STATISTICS QUIZ BOWL

Mathematics-Statistics Quiz Bowl 2022

​CSIT - MATHEMATICS DEPARTMENT

ATENEO DE ZAMBOANGA UNIVERSITY​

MECHANICS - COMPOSITION​

• The quiz bowl will consist of three rounds:

• Easy, Average and Difficult.

• Each round will consist of ten (10) multiple choice questions, each of which has four (4) choices.

• A board of judges shall be appointed to clarify and resolve all issues that will arise during the quiz bowl.

• The department shall also appoint the official examiners, proctors, timekeeper, quiz controllers and the quiz master​

MECHANICS​

MATHEMATICS-STATISTICS QUIZ BOWL 2022​

​ Question and Administration

​ 1. All the rounds will be administered orally by the Quiz master. Simultaneously, the questions will be projected on screen. 

2. The time limit for answering each question will be announced before a particular question is read.

3. A trial run will be conducted before the start of Easy round

4. The Quiz master will read each question and the four choices twice.

MATHEMATICS-STATISTICS QUIZ BOWL 2022​

ADMINISTRATION​

​​ Question and Administration

​4. The Quiz master will read each question and the four choices twice. 

5. A hard copy of any reference data, graph or table that is included in the question will be distributed to each of the contestants by the official proctors before a particular question is read.

6. All questions are of the multiple choice type with four choices: A, B, C, and D. The correct answers refers to the best answer from among the choices

MATHEMATICS-STATISTICS QUIZ BOWL 2022​

MATHEMATICS-STATISTICS QUIZ BOWL 2022​

ADMINISTRATION​

​​​ Question and Administration

​7. The contestants must select the letter of their final answer using the online platform (Quizizz). The answer clicked by the contestant is deemed as their final answer.

​

8. After the countdown, “3,2,1”, the question and the choices will be flashed on the screen of the contestants. When the time is up, the Quizizz platform will automatically check all the answers of the participants.

​

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MATHEMATICS-STATISTICS QUIZ BOWL 2022​

ADMINISTRATION​

​Question and Administration

9. The Quiz master will flash the correct answer and will announce the contestants  who got the correct answer

   ​

10. At the end of each round, the Quiz master will read the cumulative score of each contestants for the round.​

​

MATHEMATICS-STATISTICS QUIZ BOWL 2022​

ADMINISTRATION​

​SCORING

• ​Each correct answer in Easy round will earn the contestants 1 point.

• Each correct answer in Moderate round will earn the contestants 2 points.

• Each correct answer in Difficult round will earn the contestants 3 points

• A wrong or no answer in any of the rounds will be given a zero (0) point.

Subject | Subject

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SCORING​

• ​The total score of each contestants will be tallied for Easy and Moderate rounds. Those contestants who earned at least 15 points will advance to difficult round.

  ​

• IF less than seven (7) contestants earned 15 points or more, then the top seven contestants will advance to difficult round, regardless of their scores. In any case of ties in the 7th (bottom) rank, the tied contestants will advance to difficult round.

Subject | Subject

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SCORING​

• ​Difficult round is designed to choose the 5th, 4th, 3rd, 2nd, placers and the 2022 Mathematics-Statistics Quiz Bowl Champion. They are the contestants with the five highest cumulative scores for easy, moderate, and difficult rounds

Subject | Subject

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DECLARING THE WINNER

​ 1. If at the end of Difficult round, there are ties in the cumulative scores for any of the top five places, The scores of Easy round shall be used to break the tie. 

​

2. If a tie still exists, scores of Moderate round will then be used. If at this point a tie still exists, five tie-breaking questions will be administered simultaneously to all the tied contestants using the sudden-death rule; that is, a contestant with a wrong or incorrect answer will automatically be eliminated. The board of judges shall determine the way to proceed if ties still exist after this point

Subject | Subject

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​DECLARING THE WINNER

​3. The contestant with the highest cumulative score for all rounds will be declared the 2022 Mathematics-Statistics Quiz Bowl Champion

Subject | Subject

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CLARIFICATION​

​ 1. Only the contestants can ask questions or seek clarifications with regards to contest proceedings, questions, answers, and scores of the contestants.

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2. Only members of the Board of Judges shall give the answer to the questions and clarifications. THEIR DECISION IS FINAL.

   ​

3. No clarifications or questions regarding the contest mechanics shall be entertained by the Board of Judges after the Easy round has begun.

Subject | Subject

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CLARIFICATION

​4. Any issues raised pertaining to the contest questions asked in a particular round shall be addressed by the Board of Judges before the next round begins. All clarifications regarding Difficult round will be addressed before the declaration on winners.

Subject | Subject

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ROUND TRIAL

QUESTION​

​Assuming normality, what test should a researcher use to determine whether there is evidence that the average family size of poor families in the Philippines is greater than 5

​

A. ​One - tailed test

B. Two-tailed test

C. ​Three-tailed test

​D. No-tailed test

Subject | Subject

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Multiple Choice

Assuming normality, what test should a researcher use to determine whether there is evidence that the average family size of poor families in the Philippines is greater than 5

• one - tailed test

• Two-tailed test

• Three-tailed test

• No-tailed test

​

​​EASY ROUND

QUESTION​

​In the graph of a gaussian distribution, where can you find the mode?

​

​

​A. Left-tail

B. Right-tail

C. First quadrant

​D. Peak 

Subject | Subject

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Multiple Choice

In the graph of a gaussian distribution, where can you find the mode?

• Left-tail

• Right-tail

• First quadrant

• Peak 

QUESTION​

​When the population of college faculty members of Ateneo de Zamboanga University is divided into groups according to their rank (instructor, assistant professor, etc.) and then several are selected from each group to make up a sample, what kind of sampling technique is used?

​

​​A. Cluster Sampling

B. Stratified Random Sampling

C. Simple Random Sampling

D. Systematic Random Sampling

Subject | Subject

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Multiple Choice

When the population of college faculty members of Ateneo de Zamboanga University is divided into groups according to their rank (instructor, assistant professor, etc.) and then several are selected from each group to make up a sample, what kind of sampling technique is used?

• Cluster Sampling

• Stratified Random Sampling

• Simple Random Sampling

• Systematic Random Sampling

QUESTION​

​ In statistics, the standard deviation (σ) measures the amount of variation or dispersion from the mean. It can be obtained by extracting the square root of the mean of the squared deviations of the observed values from their mean in a frequency distribution. In a series of observation, which of the following is not true in the calculation of standard deviations?

​

A. ​If each value of the series of observation is increased by 10, the value of the standard deviation will also increase by 10

B. If each observation is multiplied by 2, standard deviation will be doubled

C. ​The sum of the squares of the deviations of items of any series from a value other than the arithmetic mean would always be greater

​D. Standard deviation is independent of any change of origin, but dependent on the change of scale

Subject | Subject

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Multiple Choice

In statistics, the standard deviation (σ) measures the amount of variation or dispersion from the mean. It can be obtained by extracting the square root of the mean of the squared deviations of the observed values from their mean in a frequency distribution. In a series of observation, which of the following is not true in the calculation of standard deviations?

• If each value of the series of observation is increased by 10, the value of the standard deviation will also increase by 10

• If each observation is multiplied by 2, standard deviation will be doubled

• The sum of the squares of the deviations of items of any series from a value other than the arithmetic mean would always be greater

• Standard deviation is independent of any change of origin, but dependent on the change of scale

QUESTION​

​ Do women really talk more than men? Ancient folklore makes us believe that women talk 8 thousand words a day while men, 6 thousand. Assuming that this belief is true, and suppose the life expectancy at birth of women is 75 years while that of men is 69 years, then how many more words would have had spoken by a 24-year old woman than by a man of the same age in their expected remaining years in life? (Assume that there are 365 days every year)

​

A. ​About 17.5 million more words

B. About 40.4 million more words

C. ​About 50.4 million more words

​D. About 60.5 million more words

Subject | Subject

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Multiple Choice

Do women really talk more than men? Ancient folklore makes us believe that women talk 8 thousand words a day while men, 6 thousand. Assuming that this belief is true, and suppose the life expectancy at birth of women is 75 years while that of men is 69 years, then how many more words would have had spoken by a 24-year old woman than by a man of the same age in their expected remaining years in life? (Assume that there are 365 days every year)

• About 17.5 million more words

• About 40.4 million more words

• About 50.4 million more words

• About 60.5 million more words

QUESTION​

​The Philippine government continues to develop programs to reduce poverty by relying on statistics generated by the Philippine statistical System (PSS), particularly statistics about poor families. Poor families are those families whose per capital incomes fall below the annual per capital threshold. In 2009, more than one-fourth (26.5%) of the population fell below the poverty line. What measure is used to determine the total income shortfall (expressed in proportion to the poverty line) of families with income below the poverty threshold, divided by the total number of families?

​

​A. Poverty Incidence C. Poverty Gap

B. Poverty Threshold D. Poverty Severity Index

​

CSIT | MATHEMATICS DEPARTMENT

MATHEMATICS-STATISTICS QUIZ BOWL 2022​

Multiple Choice

The Philippine government continues to develop programs to reduce poverty by relying on statistics generated by the Philippine statistical System (PSS), particularly statistics about poor families. Poor families are those families whose per capital incomes fall below the annual per capital threshold. In 2009, more than one-fourth (26.5%) of the population fell below the poverty line. What measure is used to determine the total income shortfall (expressed in proportion to the poverty line) of families with income below the poverty threshold, divided by the total number of families?

• Poverty incidence

• Poverty threshold

• Poverty gap

• Poverty severity index

QUESTION​

​Survey is a method of collecting data on the variable of interest by asking people questions. When data came from asking all the people in the population, then, the study is called _____. on the other hand, when the data came from asking a sample of people selected from a well-defined population, then the study is called _____.

​

​​A. Census, Survey

B. Census, Observation

C. Census, Sample Survey

​D. Census, Counts

Subject | Subject

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Multiple Choice

Survey is a method of collecting data on the variable of interest by asking people questions. When data came from asking all the people in the population, then, the study is called _____. On the other hand, when the data came from asking a sample of people selected from a well-defined population, then the study is called _____.

• Census, Survey

• Census, Observation

• Census, Sample Survey

• Census, Counts

QUESTION​

​__________ is a method of collecting data where there is direct human intervention on the conditions that may affect the values of the variable of interest.

​

​

​​A. Experiment

B. Observation

C. Statistical Inquiry

​D. Measurement

Subject | Subject

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Multiple Choice

________ is a method of collecting data where there is direct human intervention on the conditions that may affect the values of the variable of interest.

• Experiment

• Observation

• Statistical Inquiry

• Measurement

QUESTION​

Subject | Subject

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Multiple Choice

A rectangular pool has an area of $$2x^2-x-1$$ square meters. Find its width if the length is $$2x+1$$  meters?

• x+1 meter

• x-1 meter

• 2x+1 meter

• 2x-1 meter

QUESTION​

​Tee wants to collect information on AdZU students regarding their math grades, and overall academic performance determined by likert scale for his study. He conducted a survey on 20 random students. What are the possible measurement scale that he will be using?

​

​

​​A. Nominal and Ratio

B. Ratio and Interval

C. Ordinal and Nominal

​D. Ratio and Ordinal

Subject | Subject

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Multiple Choice

Tee wants to collect information on AdZU students regarding their math grades, and overall academic performance determined by likert scale for his study. He conducted a survey on 20 random students. What are the possible measurement scale that he will be using?

• Nominal and Ratio

• Ratio and Interval

• Ordinal and Nominal

• Ratio and Ordinal

QUESTION​

Subject | Subject

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Multiple Choice

Evaluate $$\left(\frac{x^3y^4z^2}{xy^2z^3}\right)^0$$  

• 0

• $$\frac{x^2y^2}{z}$$  

• Undefined

• 1

​AVERAGE ROUND

QUESTION​

​Four couples of "Yes I Do village" were given 8 seats in a row for a concert. In how many different ways can they be seated if all the men sit together?

​​

​​A. 32 ways

B. 2, 880 ways

C. 120 ways

​D. 576 ways

​

Subject | Subject

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Multiple Choice

Four couples of "Yes I Do village" were given 8 seats in a row for a concert. In how many different ways can they be seated if all the men sit together?

• 32 ways

• 2, 880 ways

• 120 ways

• 576 ways

QUESTION​

​For an aspiring soldier to qualify as trainee for the Philippine army, he or she must meet the following requirement: (a) baccalaureate degree holder; (b) natural born Filipino citizen; (c) at least 5 feet for both male and female; (d) with pleasing personality and high scholastic records; (e) no pending case in any court of law; and (f) physically and mentally fit for training. Florante D. Catangcaran is randomly selected from a batch of students whose heights are normally distributed with a mean of 5 feet and a standard deviation of 4.5 inches. assuming all other requirements are met, what is the probability that Florante will qualify as trainee to the Philippine army by meeting the height requirement?

​

​

​​A. 0.3133

B. 0.5000

C. 0.8133

​D. 0.1833

Subject | Subject

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Multiple Choice

For an aspiring soldier to qualify as trainee for the Philippine army, he or she must meet the following requirement: (a) baccalaureate degree holder; (b) natural born Filipino citizen; (c) at least 5 feet for both male and female; (d) with pleasing personality and high scholastic records; (e) no pending case in any court of law; and (f) physically and mentally fit for training. Florante D. Catangcaran is randomly selected from a batch of students whose heights are normally distributed with a mean of 5 feet and a standard deviation of 4.5 inches. assuming all other requirements are met, what is the probability that Florante will qualify as trainee to the Philippine army by meeting the height requirement?

• 0.3133

• 0.5000

• 0.1833

• 0.8133

QUESTION​

​It is an indicator of the change in the average retail prices of a fixed basket of goods and services commonly purchased by households relative to a base year. this price index is a major statistical series used for economic analysis and in the calculation of the inflation rate and purchasing power of the peso. what do you call this official statistic released by the PHILIPPINE STATISTICS AUTHORITY 5 days after the reference month?

​

​​A. Retail trade price index

B. Consumer price index

C. Producer price index

​D. Laspeyres price index

Subject | Subject

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Multiple Choice

It is an indicator of the change in the average retail prices of a fixed basket of goods and services commonly purchased by households relative to a base year. this price index is a major statistical series used for economic analysis and in the calculation of the inflation rate and purchasing power of the peso. what do you call this official statistic released by the PHILIPPINE STATISTICS AUTHORITY 5 days after the reference month?

• Retail trade price index

• Consumer price index

• Producer price index

• Laspeyres price index

QUESTION​

​Alvin Patrimony is the star player of Adios Homes Association (AHA) Basketball Team. He is the team’s leading scorer during the “2015 Bakasyon Basket-Bol Liga”. On the final game, his scores for each quarter is shown in the table. What would be the mean absolute deviation?

​

​​A. 2.5

B. 12.5

C. 15.2

​D. 1.2

Subject | Subject

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Multiple Choice

Alvin Patrimony is the star player of Adios Homes Association (AHA) Basketball Team. He is the team’s leading scorer during the “2015 Bakasyon Basket-Bol Liga”. On the final game, his scores for each quarter is shown in the table. What would be the mean absolute deviation?

• 2.5

• 12.5

• 15.2

• 1.2

QUESTION​

​Jocomo, together with his six colleagues in PAS, went for a vacation to Canada. they stayed in a hall in a hostel and were allotted with 7 beds. Harold, one of Jocomo’s colleagues, does not want a bed next to Jocomo, for Jocomo had been suffering from obstructive sleep apnea, a condition that causes him to snore loudly. In this case, in how many ways they can allot the beds, given that Harold is not sleeping next to Jocomo?

​

​​A. 600 ways

B. 1200 ways

C. 2400 ways

​D. 3600 ways

Subject | Subject

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Multiple Choice

Jocomo, together with his six colleagues in PAS, went for a vacation to Canada. they stayed in a hall in a hostel and were allotted with 7 beds. Harold, one of Jocomo’s colleagues, does not want a bed next to Jocomo, for Jocomo had been suffering from obstructive sleep apnea, a condition that causes him to snore loudly. In this case, in how many ways they can allot the beds, given that Harold is not sleeping next to Jocomo?

• 600 ways

• 1200 ways

• 2400 ways

• 3600 ways

QUESTION​

​What is the 26th term of the a given sequence 3, 5, 7, 9, 11, … ?

​

​​A. 49

B. 51

C. 53

​D. 57

Subject | Subject

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Multiple Choice

What is the 26th term of the given sequence 3, 5, 7, 9, 11, … ?

• 49

• 51

• 53

• 57

QUESTION​

​It takes a train 2 seconds to completely enter a tunnel and an additional 4 seconds to completely pass through it. If the train is travelling at 27 kilometers per hour, how long is the tunnel?

​

​​A. 20 meters

B. 25 meters

C. 30 meters

​D. 35 meters

Subject | Subject

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Multiple Choice

It takes a train 2 seconds to completely enter a tunnel and an additional 4 seconds to completely pass through it. If the train is travelling at 27 kilometers per hour, how long is the tunnel?

• 20 meters

• 25 meters

• 30 meters

• 35 meters

QUESTION​

​IQ is distributed with a mean of 100 and a variance of 400. What is the standard score for IQ of 160?

​

​​A. 3

B. 0.15

C. 60

​D. 2

Subject | Subject

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Multiple Choice

IQ is distributed with a mean of 100 and a variance of 400. What is the standard score for IQ of 160?

• 3

• 0.15

• 60

• 2

QUESTION​

Subject | Subject

Some text here about the topic of discussion

Multiple Choice

 Evaluate $$4^{1^{2^{3^{5^8}}}}$$  

• 40

• 3,999,999,614

• 1,612,864

• 4

QUESTION​

​AMC stock went from $5 per share to $19 per share. What percent did it go up?

​

​

​​A. 330%

B. 300%

C. 280%

​D. 260%

Subject | Subject

Some text here about the topic of discussion

Multiple Choice

 AMC stock went from $5 per share to $19 per share. What percent did it go up?

• 330%

• 300%

• 280%

• 260%

​DIFFICULT ROUND

QUESTION​

​A group of 11 street children wanted to form a dance crew, with the intention of auditioning for TAlentadong Pinoy. suppose that a talent scout promised to sponsor the group’s expenses on costume and accessories only if the group’s average height is at least 5’1” with an average absolute deviation of not larger than 2.5”. if the heights of the 11 street children are 5’2”; 5’0”; 5’1.5”; 5’3”; 5’0”; 4’10”; 4’8”; 5’4”; 5’1”; and 5’4”, will the group qualify for the sponsorship?​

​

​​A. No, because the average height of the group is less than 5’1” with an average absolute deviation of exactly 2.5 inches

B. Yes, because the average height of the group is exactly 5’1” with an average absolute deviation of less than 2.5 inches

C. No, because the average height of the group is less than 5’1” with an average absolute deviation of less than 2.5 inches

​D. Yes, because the average height of the group is more than 5’1” with an average absolute deviation of less than 2.5 inches

Subject | Subject

Some text here about the topic of discussion

Multiple Choice

A group of 11 street children wanted to form a dance crew, with the intention of auditioning for TAlentadong Pinoy. suppose that a talent scout promised to sponsor the group’s expenses on costume and accessories only if the group’s average height is at least 5’1” with an average absolute deviation of not larger than 2.5”. if the heights of the 11 street children are 5’2”; 5’0”; 5’1.5”; 5’3”; 5’0”; 4’10”; 4’8”; 5’4”; 5’1”; and 5’4”, will the group qualify for the sponsorship?

• No, because the average height of the group is less than 5’1” with an average absolute deviation of exactly 2.5 inches

• Yes, because the average height of the group is exactly 5’1” with an average absolute deviation of less than 2.5 inches

• No, because the average height of the group is less than 5’1” with an average absolute deviation of less than 2.5 inches

• Yes, because the average height of the group is more than 5’1” with an average absolute deviation of less than 2.5 inches

QUESTION​

​In the past, the Philippines suffered from several devastating earthquakes. in 1968, 200 people died when the Ruby Tower collapsed in a 7.3 earthquake magnitude earthquake in Manila. more than 6, 000 people died when a tsunami caused by a 7.9 magnitude earthquake in the Moro Gulf hit them in 1976. Then the July 16, 1990 earthquake which is so far unequaled in terms of deaths, propery damage and psychological shock. suppose the probability of occurrence of a 6.0 magnitude earthquake or stronger in the Philippines in a given year is 0.02. assuming that the occurrence of an earthquake in any given year is not affected by the occurrence of an earthquake in any other year, what is the probability that Philippines will experience at least one major earthquake in the next twenty years?​

​

​​A. 0.0001

B. 0.0204

C. 0.3324

​D. 0.4020

Subject | Subject

Some text here about the topic of discussion

Multiple Choice

In the past, the Philippines suffered from several devastating earthquakes. in 1968, 200 people died when the Ruby Tower collapsed in a 7.3 earthquake magnitude earthquake in Manila. more than 6, 000 people died when a tsunami caused by a 7.9 magnitude earthquake in the Moro Gulf hit them in 1976. Then the July 16, 1990 earthquake which is so far unequaled in terms of deaths, propery damage and psychological shock. suppose the probability of occurrence of a 6.0 magnitude earthquake or stronger in the Philippines in a given year is 0.02. assuming that the occurrence of an earthquake in any given year is not affected by the occurrence of an earthquake in any other year, what is the probability that Philippines will experience at least one major earthquake in the next twenty years?

• 0.0001

• 0.0204

• 0.3324

• 0.4020

QUESTION​

​Civil registration is a continuous, permanent, and compulsory recording of vital events occurring on the life of an individual such as birth, marriage, and death, as well as all court decrees, and legal instruments affecting his civil status in appropriate registers as mandated by Act No. 3753, the Civil registry Law. which among the following public documents is considered confidential as required by PD603?​

​

​​A. Birth certificate

B. Marriage certificate

C. Death certificate

​D. Certificate of No Marriage (CENIOMAR)

Subject | Subject

Some text here about the topic of discussion

QUESTION​

​Kenzie, the older sister of Katorzie has been employed since January 2015 receiving a net monthly salary of P20,000.00 in anticipation of her Christmas expenses and since she had not saved any part of her salary during the past nine (9) months, she decided to save 15 percent of her net monthly salary for October to December. what will be her average monthly savings for the entire year? ​

​

​​A. P750

B. P900

C. P1, 000

​D. P3, 000

Subject | Subject

Some text here about the topic of discussion

Multiple Choice

Civil registration is a continuous, permanent, and compulsory recording of vital events occurring on the life of an individual such as birth, marriage, and death, as well as all court decrees, and legal instruments affecting his civil status in appropriate registers as mandated by Act No. 3753, the Civil registry Law. which among the following public documents is considered confidential as required by PD603?

• Birth certificate

• Marriage certificate

• Death certificate

• Certificate of No Marriage (CENIOMAR)

QUESTION​

​Slashenger Inc. is a manufacturing firm that alleges to be the best tennis balls maker. Hawl Corp., a competitor of Slashenger Inc., claims that they are the best. Slashenger Inc. challenges Hawl Corp. to test the tennis balls they are making. What is the probability of Hawl Corp. finding at least three cans with a defective ball from 50 cans of tennis balls of Slashenger Inc. if the probability that a single can of three balls will contain at least one defective ball is 0.035?​

​

​​A. 0.33825

B. 0.27138

C. 0.25480

​D. 0.15749

Subject | Subject

Some text here about the topic of discussion

Multiple Choice

Kenzie, the older sister of Katorzie has been employed since January 2015 receiving a net monthly salary of P20,000.00 in anticipation of her Christmas expenses and since she had not saved any part of her salary during the past nine (9) months, she decided to save 15 percent of her net monthly salary for October to December. what will be her average monthly savings for the entire year?

• P750

• P900

• P1, 000

• P3, 000

Multiple Choice

Slashenger Inc. is a manufacturing firm that alleges to be the best tennis balls maker. Hawl Corp., a competitor of Slashenger Inc., claims that they are the best. Slashenger Inc. challenges Hawl Corp. to test the tennis balls they are making. What is the probability of Hawl Corp. finding at least three cans with a defective ball from 50 cans of tennis balls of Slashenger Inc. if the probability that a single can of three balls will contain at least one defective ball is 0.035?

• 0.33825

• 0.27138

• 0.25480

• 0.15749

QUESTION​

​The product of (1+x+x2+…+x200)(1+x+x2+…+x50) is a polynomial with variable x. What is the coefficient of x100?

​

​​A. 26

B. 51

C. 101

​D. 151

Subject | Subject

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Multiple Choice

The product of (1+x+x2+…+x200)(1+x+x2+…+x50) is a polynomial with variable x. What is the coefficient of x100?

• 26

• 51

• 101

• 151

QUESTION​

​Nabil was told to add 4 to a certain number and then divide the answer by 5. Instead he first added 5 and then divide by 4. he came up with the “answer” 54. What should have been his answer?

​

​​A. 34

B. 43

C. 45

​D. 54

Subject | Subject

Some text here about the topic of discussion

Multiple Choice

Nabil was told to add 4 to a certain number and then divide the answer by 5. Instead he first added 5 and then divide by 4. he came up with the “answer” 54. What should have been his answer?

• 34

• 43

• 45

• 54

QUESTION​

Subject | Subject

Some text here about the topic of discussion

Multiple Choice

$$\sqrt[]{25\%}-5\%=?$$  

• 0

• 25%

• 45%

• 50%

QUESTION​

Subject | Subject

Some text here about the topic of discussion

Multiple Choice

Which number is larger?

• $$5^{22}$$  

• $$2^{66}$$  

• $$3^{33}$$  

• $$6^{33}$$  

QUESTION​

Subject | Subject

Some text here about the topic of discussion

Multiple Choice

$$\frac{500\%}{50\%}=?$$  

• 10% 

• 1000% 

• 5%

• 25% 

​ROUND CLINCHER

QUESTION​

​The standard score is the number of standard deviations an observation is away from the mean. Hence, a positive standard score indicates that an observation is above the mean. while a negative standard score indicates that an observation is below the mean. it is a dimensionless quantity obtained by subtracting the population mean from an individual raw score and then dividing the difference by the population standard deviation, this is called standardizing or normalizing. In which of the following situation will the value of “a” be positive number? 

​

​​A. P(z>a) = 0.90  

B. P(z>a)=0.99 

C. P[z<a] = 0.50

​D. P[z<a] = 0.65 

Subject | Subject

Some text here about the topic of discussion

Multiple Choice

The standard score is the number of standard deviations an observation is away from the mean. Hence, a positive standard score indicates that an observation is above the mean. while a negative standard score indicates that an observation is below the mean. it is a dimensionless quantity obtained by subtracting the population mean from an individual raw score and then dividing the difference by the population standard deviation, this is called standardizing or normalizing. In which of the following situation will the value of “a” be positive number?

• P(z>a) = 0.90

• P(z>a)=0.99

• P[z<a] = 0.50

• P[z<a] = 0.65

QUESTION​

​A course in Solid Mensuration was taught to Class Masigasig, with 14 students, using the computer-based teaching approach. Class Matiyaga, with 17 students, was given the same course using the conventional teaching approach. at the end of the semester, the two classes were given the same examination. The average score of the 14 students in Class Masigasig is 85 with a standard deviation of 4, while the 17 students from class Matiyaga got an average score of 90 with a standard deviation of 5. What conclusion can we draw out of the given information using 5% level of significance?

​

​​A. There is no significant difference between the average scores of the students from the two classes

B. There is a significant difference between the average scores of the students from the two classes

C. There is no significant difference in the two teaching approaches

​D. We cannot draw conclusions out of the given information 

Subject | Subject

Some text here about the topic of discussion

Multiple Choice

A course in Solid Mensuration was taught to Class Masigasig, with 14 students, using the computer-based teaching approach. Class Matiyaga, with 17 students, was given the same course using the conventional teaching approach. at the end of the semester, the two classes were given the same examination. The average score of the 14 students in Class Masigasig is 85 with a standard deviation of 4, while the 17 students from class Matiyaga got an average score of 90 with a standard deviation of 5. What conclusion can we draw out of the given information using 5% level of significance?

• There is no significant difference between the average scores of the students from the two classes

• There is a significant difference between the average scores of the students from the two classes

• There is no significant difference in the two teaching approaches

• We cannot draw conclusions out of the given information

QUESTION​

​Bantay, the ever reliable and lovable dog of the prominent Dimakita residence, is locking out of the window. There is a 20% chance that he will see one or more trespassers in the next 10 minutes. Given that he sees one or more trespassers, there is a 90% chance that Bantay will bark during the time period. Given that he sees no trespassers, there is a 35% chance that Bantay will bark during the time period. What is the probability that Bantay will bark during the next 10 minutes?

​

​​A. 0.90

B. 0.28

C. 0.46

​D. 0.35

Subject | Subject

Some text here about the topic of discussion

Multiple Choice

Bantay, the ever reliable and lovable dog of the prominent Dimakita residence, is locking out of the window. There is a 20% chance that he will see one or more trespassers in the next 10 minutes. Given that he sees one or more trespassers, there is a 90% chance that Bantay will bark during the time period. Given that he sees no trespassers, there is a 35% chance that Bantay will bark during the time period. What is the probability that Bantay will bark during the next 10 minutes?

• 0.90

• 0.28

• 0.46

• 0.35

QUESTION​

​Jaron and Jaric Ting are both basketball players in their respective universities. For weeks before the start of the 77th season of University Sports Association of the Philippines (USAP), they had their practice shooting. On the 1st week, Jaron shoots 9 balls, on the 2nd week he shoots 19 balls, on the 3rd week he shoots 38 balls, and on the 4th week he shoots 34 balls, out of 50 tries for each week. on the other hand, out of 75 tries for each week, Jaric shoots 41, 39, 37 and 33 balls respectively, for the 1st, 2nd, 3rd and 4th week. Using these data, who is the steadier shooter?

​

​​A. They are even, because Jaric shoots more balls in the 1st and 2nd weeks, while jaron shoots more balls in the 3rd and 4th weeks

B. Jaric is the steadier shooter because he had a total of 300 tries in shooting, while Jaron only tries 200 times

C. Jaric is the steadier shooter because the relative variation of his shots is smaller than Jaron’s

​D. Jaron is the steadier shooter because he only missed 100 balls in all his tries, while Jaric missed 150 balls in all his tries

Subject | Subject

Some text here about the topic of discussion

Multiple Choice

Jaron and Jaric Ting are both basketball players in their respective universities. For weeks before the start of the 77th season of University Sports Association of the Philippines (USAP), they had their practice shooting. On the 1st week, Jaron shoots 9 balls, on the 2nd week he shoots 19 balls, on the 3rd week he shoots 38 balls, and on the 4th week he shoots 34 balls, out of 50 tries for each week. on the other hand, out of 75 tries for each week, Jaric shoots 41, 39, 37 and 33 balls respectively, for the 1st, 2nd, 3rd and 4th week. Using these data, who is the steadier shooter?

• They are even, because Jaric shoots more balls in the 1st and 2nd weeks, while jaron shoots more balls in the 3rd and 4th weeks

• Jaric is the steadier shooter because he had a total of 300 tries in shooting, while Jaron only tries 200 times

• Jaric is the steadier shooter because the relative variation of his shots is smaller than Jaron’s

• Jaron is the steadier shooter because he only missed 100 balls in all his tries, while Jaric missed 150 balls in all his tries

QUESTION​

​An important economic indicator derived from Consumer Price Index (CPI) is the Purchasing Power of the Peso is a measure of the real value of the peso in a given period relative to a chosen reference period. the base year for the current CPI series is 2006. Given the date, which of the following statements is not true?

​

​​A. One peso in 2006 is worth 71 centavos in september 2014

B. The same quantity of goods that can be bought with 71 centavos in September 2006 can be bought with one peso in September 2014

C. The salary for an entry level Statistician in September 2014 is PHP18.549. its equivalent peso value in 1996 is PHP2,986.22

​D. The equivalent peso value of PHP 500 in 1996 is PHP 3,202.27 in September 2014

​

Subject | Subject

Some text here about the topic of discussion

Multiple Choice

An important economic indicator derived from Consumer Price Index (CPI) is the Purchasing Power of the Peso is a measure of the real value of the peso in a given period relative to a chosen reference period. the base year for the current CPI series is 2006. Given the date, which of the following statements is not true?

• One peso in 2006 is worth 71 centavos in september 2014

• The same quantity of goods that can be bought with 71 centavos in September 2006 can be bought with one peso in September 2014

• The salary for an entry level Statistician in September 2014 is PHP18.549. its equivalent peso value in 1996 is PHP2,986.22

• The equivalent peso value of PHP 500 in 1996 is PHP 3,202.27 in September 2014

QUESTION​

​Zia Nalang is looking through her old belongings. When she opens an old letter box she finds four lovely ants resting at the four corners of the box. If all the ants start to walk along the edges of the box at the same time and at the same speed, with each ant going in a direction it chooses randomly with equal chances, what is he probability that none of the ants collide?

​

​​A. 0.0625

B. 0.125

C. 0.25

​D. 0.5

​

Subject | Subject

Some text here about the topic of discussion

Multiple Choice

Zia Nalang is looking through her old belongings. When she opens an old letter box she finds four lovely ants resting at the four corners of the box. If all the ants start to walk along the edges of the box at the same time and at the same speed, with each ant going in a direction it chooses randomly with equal chances, what is he probability that none of the ants collide?

• 0.0625

• 0.125

• 0.25

• 0.5

QUESTION​

​The Payatas B. elementary School is situated in an overpopulated poor area in Quezon City. The school has more than 7 thousand students with only 80 clas rooms. Because of overpopulation, about 90 to 100 students had to fir in one class room. Suppose that in a given school year in Payatas B, the average number of recorded absences for boys is 15 with a standard deviation of 7, while that for girls the average number of absences is 10 with a standard deviation of 6. If a survey is conducted in the same school with a sample of 100 boys and 50 girls, what is the probability that in the given sample, boys will have at most three more days of absences than girls? (Assume that the number of absences for both boys and girls are normally distributed).

​

​​A. 0.0345

B. 0.0483

C. 0.1321

​D. 02124

​

Subject | Subject

Some text here about the topic of discussion

Multiple Choice

The Payatas B. elementary School is situated in an overpopulated poor area in Quezon City. The school has more than 7 thousand students with only 80 clas rooms. Because of overpopulation, about 90 to 100 students had to fir in one class room. Suppose that in a given school year in Payatas B, the average number of recorded absences for boys is 15 with a standard deviation of 7, while that for girls the average number of absences is 10 with a standard deviation of 6. If a survey is conducted in the same school with a sample of 100 boys and 50 girls, what is the probability that in the given sample, boys will have at most three more days of absences than girls? (Assume that the number of absences for both boys and girls are normally distributed).

• 0.0345

• 0.0483

• 0.1321

• 02124