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STATISTICS WIZARD

Total questions: 45

Worksheet time: 32mins

Name
Class
Date
1.

What is the branch of mathematics that deals with collecting, organizing, and interpreting data to address a certain phenomenon?

a)

Geometry

b)

Algebra

c)

Statistics

d)

Trigonometry

2.

Which of the following is a second-hand data?

a)

Research Journals

b)

Interviews

c)

Data from Questionnaires

d)

Data from Surveys

3.

What is the set of all data under a study?

a)

Class

b)

Sample

c)

Totality

d)

Population

4.

Which of the following is a qualitative data?

a)

The model of a car

b)

Number of broken cars

c)

Time for the car to reach top speed

d)

Number of SUV in Metro Manila

5.

Select the graphs that uses circles to measure frequency

a)

Pie chart

b)

Histogram

c)

Ogive

d)

Line chart

6.

It is the most popular value of a data set.

a)

Mean

b)

Mode

c)

Median

d)

Common

7.

It is the square root of the variance.

a)

Range

b)

Variance

c)

Average Deviation

d)

Standard Deviation

8.

The following are measures of variability, EXCEPT

a)

Range

b)

Variance

c)

Weighted Average

d)

Standard Deviation

9.

The likelihood of the occurrence of an event is called its _.

a)

probability

b)

possibility

c)

feasibility

d)

likeability

10.

A _ is a set of objects in which position or order of elements is significant.

a)

Combination

b)

Permutation

c)

Probability

d)

Experiment

11.

Which of the following symbols is used to denote intersection of two or more events?

a)

∪

b)

∩

c)

⊃

d)

⊂

12.

Which of the following quartiles is also known as the median value of any given set of data?

a)

Q1

b)

Q2

c)

Q3

d)

Q4

13.

It is a measure of position which divides the given set of data into one hundred equal parts.

a)

decile

b)

quartile

c)

percentile

d)

quantile

14.

It is a function that associates a numerical value to every outcome of a random experiment; denoted by a capital letter, usually 𝑋.

a)

Random Variable

b)

Outcome

c)

Sample Space

d)

Random Experiment

15.

Which of the following is discrete variable?

a)

The temperature of broken machines

b)

The time before a machine gets broken

c)

The weight of a broken machine

d)

The number of broken machines

16.

a graph that represents the probability density function of a normal probability distribution. It is also called a Gaussian curve named after the mathematician, Carl Friedrich Gauss

a)

Scatterplot

b)

Normal Curve

c)

Ogive

d)

Histogram

17.

The Marketing Department of a certain university is doing a satisfaction survey. To do this, the staff takes an alphabetized list of student names and picks a random starting point. Then every 15th student is given a survey form. Determine what random sampling technique is employed.

a)

Simple Random Sampling

b)

Stratified Random Sampling

c)

Cluster Sampling

d)

1-In- Systematic Random Sampling

18.

Which among the choices is a correct alternative hypothesis (in symbols)?

a)

H_0: 𝜇 ≤ 100

b)

𝐻𝐴: 𝜇 > 100

c)

𝐻𝐴: 𝜇 = 100

d)

H_0: 𝜇 < 100

19.

Which among the choices refers to the type of error you commit when you reject the null hypothesis even if it is true?

a)

Type I

b)

Type II

c)

Type III

d)

Type IV

20.

Which among the choices is the test in which the alternative hypothesis uses comparatives such as less than, smaller than, inferior to, lower than, below, decreased, etc.?

a)

No-tailed Test

b)

Right-tailed Test

c)

Left-tailed Test

d)

Two-tailed Test

21.

It is the diagram can be used to determine whether a linear (straight line) correlation exists between two variables.

a)

Normal Curve

b)

Histogram

c)

Ogive

d)

Scatterplot

22.

Also refers as Indirect Relationship whereas x increases, y tends to decrease. The value of r is close to -1 or r = -1.

a)

Positive Correlation

b)

Negative Correlation

c)

No Correlation

d)

Direct Correlation

23.

“Eating breakfast in the morning increases the ability to learn in school. “ the underlined statement is what kind of variable?

a)

Dependent

b)

Independent

c)

Correlation

d)

Regression

24.

It is used to evaluate the relationship of dependent and independent variables in the equation. its goal is for prediction or forecasting.

a)

Dependent

b)

Independent

c)

Correlation

d)

Regression

25.

What is the median of these values?

44, 99, 66, 55, 77, and 88.

a)

71.5

b)

66

c)

77

d)

72

26.

Ten judges score Ben’s performance. What is the average of his scores if the judges’ scores are 6, 9, 7, 5, 4, 8, 9, 10, 7, and 5?

a)

5

b)

6

c)

7

d)

8

27.

Find the range of the data set below.

44, 67, 31, 85, 72, 86

a)

31

b)

42

c)

50

d)

55

28.

How many elements does the sample space for rolling a die have?

a)

1

b)

2

c)

6

d)

8

29.

Clocks come in two types: wall or desk. They come in five colors: red, yellow, green, blue and white. How many possible choices are there?

a)

5

b)

10

c)

15

d)

20

30.

What is the probability of getting a 7 when rolling a regular die?

a)

0

b)

1/2

c)

1/6

d)

1

31.

If randomly choosing a month of the year, what is the probability that the chosen month will have 31 days in it?

a)

7/12

b)

5/12

c)

2/3

d)

3/4

32.

An English book, a Mathematics book, and a Physics book are to be arranged on a shelf. In how many different ways can these books be arranged?

a)

1

b)

2

c)

3

d)

6

33.

How many words can be formed using all the letters of the word MATHEMATICS?

a)

4 989 600

b)

4 596 088

c)

200 000

d)

300 000

34.

Evaluate 11P2.

a)

22

b)

55

c)

110

d)

200

35.

Seven people are going to sit at a round table. In how many different ways can this be done?

a)

7

b)

14

c)

720

d)

5040

36.

Calculate 5C4×10C3.

a)

5

b)

600

c)

7150

d)

86400

37.

Events A and B are defined by the sets {1, 2, 3, 4} and {3, 4, 5, 6}, respectively. What is the union of the two events?

a)

{3, 4}

b)

{1, 2, 3, 4, 5}

c)

{2, 3, 4, 5, 6}

d)

{1, 2, 3, 4, 5, 6}

38.

Consider the set of data below. Which value corresponds to Q2?

3,17,9,12,20,16,14,16,22,24,18,25

a)

15.5

b)

16

c)

16.5

d)

17

39.

Consider the random experiment of rolling a pair of tetrahedron dice (whose number of dots are 1 to 4). If 𝑋 denotes the sum of the numbers in the two dice, what are the possible values of 𝑋?

a)

X = {0, 1}          

b)

X = {3, 5, 7}                 

c)

X = {2, 4, 6, 8}   

d)

X = {2, 3, 4, 5, 6, 7, 8}  

40.

What is the area of the scores in a normally distributed data that is within one standard deviation above the mean?

a)

68.26%

b)

95.44%

c)

99.74%

d)

100%

41.

𝑋 is a normally distributed variable with a mean of 12 and a standard deviation of 2, What is the 𝑍 value that corresponds to the score 𝑋 = 16?

a)

2

b)

3

c)

4

d)

5

42.

He was a pioneer in the development of statistical methods and a key figure in the early history of modern statistics. He is known for his work in correlation and the development of the chi-squared test.

a)

Sir Ronald A. Fisher

b)

Karl Pearson

c)

Sir Francis Galton

d)

Jerzy Neyman

43.

He was a prominent statistician known for his work on hypothesis testing and experimental design. He laid the foundation for modern frequentist statistical theory.

a)

Sir Ronald A. Fisher

b)

Karl Pearson

c)

Sir Francis Galton

d)

Jerzy Neyman

44.

He is considered one of the founding figures of modern statistics. His work on statistical theory, experimental design, and the analysis of variance had a profound impact on the field.

a)

Sir Ronald A. Fisher

b)

Karl Pearson

c)

Sir Francis Galton

d)

Jerzy Neyman

45.

He made significant contributions to statistics, particularly in the fields of regression analysis and the development of the concept of correlation.

a)

Sir Ronald A. Fisher

b)

Karl Pearson

c)

Sir Francis Galton

d)

Jerzy Neyman