Free Printable MEC 51

1.

It is a branch of science that deals with the collection, organization, presentation, analysis, and interpretation of data.

(a)

2.

What are the two major areas in statistical analysis?

(a)

3.

It comprise those methods concerned with organizing, presenting, summarizing, and analyzing a set of data without drawing conclusions or inferences about a population.

(a)

4.

It comprise those methods concerned with the analysis of sample data leading to predictions or inferences about the population.

(a)

5.

A collection of all units from which the data are to be collected.

a)

Sample

b)

Population

c)

Parameter

d)

Statistic

6.

A part or subset of the population.

a)

Sample

b)

Population

c)

Parameter

d)

Statistic

7.

A numerical characteristic of the population.

a)

Parameter

b)

Sample

c)

Statistic

d)

Population

8.

A numerical characteristic of the sample.

a)

Population

b)

Sample

c)

Parameter

d)

Statistic

9.

What are the classifications of data?

(a)

10.

data for which no numerical measure exists.

These are usually expressed in categories or kind.

a)

qualitative data

b)

quantitative data

c)

statistic

d)

parameter

11.

data that can be expressed in numbers.

a)

qualitative data

b)

quantitative data

c)

statistics

d)

parameter

12.

What are the types of quantitative data?

(a)

13.

This type of quantitative data can be counted; thus can assume value which is a whole number.

(a)

14.

This type of quantitative data can be measure using some units of measurements which may take some decimal numbers.

(a)

15.

What are the level of measurements?

(a)

16.

This consists of named categories but no implied ranking of categories.

a)

Nominal

b)

Ordinal

c)

Interval

d)

Ratio

17.

The categories of a variable can be ranked.

a)

Nominal

b)

Ordinal

c)

Interval

d)

Ratio

18.

This contains the property of identity, order, and equality of scale but does not possess the absolute zero property.

a)

Nominal

b)

Ordinal

c)

Interval

d)

Ratio

19.

It contains the property of identity, order, equality of scale and the absolute zero property.

a)

Nominal

b)

Ordinal

c)

Interval

d)

Ratio

20.

In an interval-scaled variable, the point 0 reflects the absence of the characteristic.

a)

True

b)

False

21.

A sample of 40 bank employees in Cagayan de Oro answered the following survey:

I. What is your undergraduate degree?

II. What is your average monthly salary?

III. How many different full-time jobs have you held in the past 10 years?

IV. How satisfied are you with the present economy of the Philippines? (extremely unsatisfied, unsatisfied, neutral, satisfied, extremely satisfied)

Which question(s) in the survey involve(s) qualitative variable?

a)

I and III

b)

I only

c)

I and II

d)

I and IV

22.

A sample of 40 bank employees in Cagayan de Oro answered the following survey:

I. What is your undergraduate degree?

II. What is your average monthly salary?

III. How many different full-time jobs have you held in the past 10 years?

IV. How satisfied are you with the present economy of the Philippines? (extremely unsatisfied, unsatisfied, neutral, satisfied, extremely satisfied)

Which question(s) in the survey involve(s) discrete quantitative variable?

a)

II and III

b)

II only

c)

III only

d)

IV only

23.

A sample of 40 bank employees in Cagayan de Oro answered the following survey:

I. What is your undergraduate degree?

II. What is your average monthly salary?

III. How many different full-time jobs have you held in the past 10 years?

IV. How satisfied are you with the present economy of the Philippines? (extremely unsatisfied, unsatisfied, neutral, satisfied, extremely satisfied)

The levels of measurements of the variables in the Survey Questions I, II, III, and IV, respectively, are

a)

nominal, ratio, ratio, ordinal

b)

nominal, ordinal, interval, ratio

c)

nominal, ratio, interval, ordinal

d)

ordinal, ratio, ratio, interval

24.

It is a number that represents or describes a population.

a)

ratio-scaled variable

b)

parameter

c)

quantitative variable

d)

statistic

25.

Consider the following variables:

I. Number of cars sold

II. Winning numbers in lotto

III. Total lot area in a subdivision

Which of these variables is a discrete quantitative variable?

a)

II

b)

III

c)

I and II

d)

I

26.

Consider the following variables:

I. Number of cars sold

II. Winning numbers in lotto

III. Total lot area in a subdivision

The levels of measurements of these variables are respectively

a)

nominal, nominal, ratio

b)

ratio, nominal, interval

c)

ratio, nominal, ratio

d)

ratio, ratio, interval

27.

A Business Statistics student wanted to check if a certain department store in Cagayan de Oro complies with the government policy that workers should receive a minimum wage of P140.00. The department store has a total of 500 employees. Thirty-five employees from this department store were interviewed. The respondents gave an average daily wage of P128.00 with a maximum wage of P135.00.

Identify the sample size used in her study.

a)

minimum wage of P140.00

b)

500 employees

c)

average daily wage of P128.00

d)

35 employees

28.

A Business Statistics student wanted to check if a certain department store in Cagayan de Oro complies with the government policy that workers should receive a minimum wage of P140.00. The department store has a total of 500 employees. Thirty-five employees from this department store were interviewed. The respondents gave an average daily wage of P128.00 with a maximum wage of P135.00.

From the values given above, which of the following is a parameter?

a)

a total of 500 employees

b)

average daily wage of P128.00

c)

35 employees

d)

maximum wage of P135.00

29.

A Business Statistics student wanted to check if a certain department store in Cagayan de Oro complies with the government policy that workers should receive a minimum wage of P140.00. The department store has a total of 500 employees. Thirty-five employees from this department store were interviewed. The respondents gave an average daily wage of P128.00 with a maximum wage of P135.00.

Which of the following is a continuous quantitative variable?

a)

minimum wage of the employees

b)

government policy

c)

number of employees

d)

number of respondents

30.

Three professors at Harvey University compared two different approaches to teach courses in the school of business. At the time of the study, there were a total of 2,500 students in the business school and 92 students were selected to participate in the study. Demographic data collected from these 92 students included: class (freshman, sophomore, junior, senior), age, gender, and major.

Based from the information stated above, who is the target population of interest?

a)

two different teaching techniques

b)

92 students

c)

three professors

d)

all students in the business school

31.

Three professors at Harvey University compared two different approaches to teach courses in the school of business. At the time of the study, there were a total of 2,500 students in the business school and 92 students were selected to participate in the study. Demographic data collected from these 92 students included: class (freshman, sophomore, junior, senior), age, gender, and major.

Of the four demographic variables stated above, which of the variable(s) fall(s) under nominal level of measurement?

a)

class and major

b)

major and gender

c)

gender only

d)

class and gender

32.

Which of the following is not a characteristic of age?

a)

Age can be ranked.

b)

It is a discrete-quantitative variable.

c)

It has the equality of scale property.

d)

It is a ratio-level variable.

33.

An area in Statistics which is concerned with making conclusions or generalizations based on the analysis of sample data.

a)

Descriptive Statistics

b)

Sampling Survey

c)

Inferential Statistics

d)

Business Statistics

34.

Consider the following variables:

I. Number of cars sold

II. Winning numbers in lotto

III. Total lot area in a subdivision

Which of these variables fall under the ratio scale?

a)

I and II

b)

II and III

c)

I and III

d)

I only

35.

Ordinal-level measurements possess all the properties of identity, order and equality of scale.

a)

True

b)

False

36.

It is from the parameters of a population that the sample statistics are estimated.

a)

True

b)

False

37.

A measure that describes a variable in a sample is called a statistic.

a)

True

b)

False

38.

a method of presenting values or relationships in pictorial form

(a)

39.

What are the common types of graphs

(a)

40.

It is a circle which is divided into sectors in such a way that the area of each scope is proportional to the size of the quantity represented by that sector

a)

Pie Chart

b)

Bar Chart

c)

Line Chart

d)

Column Chart

41.

It consists of a series of rectangular bars where the length of the bar represents the magnitude to be demonstrated

a)

Pie Chart

b)

Bar Chart

c)

Line Chart

d)

Column Chart

42.

Column chart is used to visually compare values across a few categories.

a)

True

b)

False

43.

This chart is used when your data labels are long or you have too many data sets to display.

a)

Pie Chart

b)

Bar Chart

c)

Line Chart

d)

Column Chart

44.

It is a graphical presentation of data especially useful for showing trends over a period of time.

a)

Pie Graph

b)

Bar Graph

c)

Line Graph

d)

Column Graph

45.

It is used to display change over time as a series of data points connected by straight line segments

a)

Pie Graph

b)

Bar Graph

c)

Line Graph

d)

Column Graph

46.

It gives a visual picture of the relationship between the two variables, and aids the interpretation of the correlation coefficient or regression model.

a)

Box and Whisker plot

b)

Scatter Plot

c)

Histogram

d)

Bar Chart

47.

It is the process of condensing classified data and arranging them systematically in rows and columns.

(a)

48.

What are the common types of table?

(a)

49.

It refers to the tabular arrangement (grouping) of all observations into intervals or classes together with the count of the number of observations that fall in each interval.

(a)

50.

What does the symbol K represents?

a)

number of intervals

b)

number of orders

51.

It represents the number of observations falling in a certain category; number of occurrence of a value

(a)

52.

It represents the number of observations falling in a certain category divided by the total number of observations times 100.

(a)

53.

It is a form of frequency distribution table where observations are classified based on categorical names.

(a)

54.

What are the common types of descriptive measure?

(a)

55.

What are the measures of central location?

(a)

56.

What are the common measures of variability?

(a)

57.

What are the measures of shape?

(a)

58.

What are the other summary statistics?

(a)

59.

What is the measure of location?

(a)

60.

It is any single value which is used to identify the “center” or the typical value in the data set; it is oftentimes referred to as the average

(a)

61.

It is the sum of all values of the observations divided by the number of observations in the data set

(a)

62.

It is a value that divides an ordered set of data (array) into two equal parts (usually denoted by Md)

(a)

63.

It is the value in the data set that occurs with the greatest frequency

(a)

64.

It is a numerical descriptive measures which indicate the extent to which individual observations in a set of data are scattered about an average.

(a)

65.

It is the difference between the maximum and the minimum values in the data set

(a)

66.

It is a measure of dispersion which indicates the extent of scattering of the observations from the mean

(a)

67.

It is the square of the standard deviation; it is the average squared deviation of the observations from the mean

(a)

68.

It is used to measure how well the obtained statistic will estimate the target parameter. The smaller the standard error, the better the statistic estimates the parameter.

(a)

69.

- It is estimated by dividing the standard deviation with the square root of the sample size.

(a)

70.

The standard deviation of sample means is known as the standard error of the mean (SE).

a)

True

b)

False

71.

It measures how scattered the data relative to the mean.

(a)

72.

It is a relative measure of variation that is always expressed as a percentage.

(a)

73.

It refer to the degree of asymmetry, or departure from symmetry of a distribution.

(a)

74.

It measures the extent to which observations cluster around a central point

(a)

75.

computed by adding numerical observations

(a)

76.

total number of observations

(a)

77.

These are values that divide an ordered set of observations into 100 equal parts.

(a)

78.

These are values that divide an ordered set of observations into 10 equal parts.

(a)

79.

These are values that divide an ordered set of observations into 4 equal parts.

(a)

80.

Find the mean (Mn), the median (Md), and the mode (Mo), if any, for the given data: 97, 101, 83, 78, 104, 73, 97, 71

a)

Mn: 76; Md: 97; Mo: 104

b)

Mn: 88; Md: 91; Mo: 97

c)

Mn: 88; Md: 90; Mo: 97

d)

Mn: 76; Md: 90; Mo: none

81.

Find the mean, the median, and all the modes for the pay rates of a sample of 44 research assistants based in the given frequency distribution. Round your answers to two decimal places.

Hourly pay rates ($) Frequency

9.00 4

12.50 29

15.50 7

20.00 4

a)

Mn: $18.53; Md:$14.00; Mo:$12.50

b)

Mn: $13.34; Md: $12.50; Mo: $12.50

c)

Mn: $14.25; Md: $14.00; Mo: $15.50

d)

Mn: $13.34; Md: $14.00; Mo: $12.50

82.

So far in a Stat class, a student’s quiz scores are 89, 90, 82, and 77. What score does the student need on the fifth quiz to have a mean quiz score of 87? All the quizzes have equal weights. Round your answer to the nearest whole number.

a)

85

b)

82

c)

87

d)

97

83.

Tom has a mean score of 79 on the first three tests in class. What is the highest grade Tom can get if there is only one more 100-point test and all the tests are equally weighted.

a)

86.00

b)

90.25

c)

81.50

d)

84.25

84.

Find the range (R), the standard deviation (SD), and the variance (Var) for the given samples. Round noninteger results to the nearest tenth.

93, 83, 55, 66, 75, 70, 74

a)

R: 38; SD: 12.7; Var: 161.29

b)

R: 27; SD: 14.6; Var: 212

c)

R: 38; SD: 11.2; Var: 147.2

d)

R: 38; SD: 12.1; Var: 147.2

85.

The numbers of star fish found in sample of 15 quadrats are recorded as follows:

4, 7, 7, 9, 10, 11, 13, 15, 15, 15, 17, 17, 19, 19, 20star fish

After calculating the mean, median, and mode, one of the 15’s is really 17. Which measure will change?

a)

median only

b)

mean and median

c)

mean and mode

d)

mode and median

86.

In a Stat class of 25 students, the mean score on the final exam was 50 and the standard deviation was 0. This means that

a)

half the class has scores less than 50

b)

half the class had 0’s and half the class had 50’s

c)

Everyone has a score of exactly 50’s

d)

There was a high correlation between ability and grade

87.

Which of the following statements is true about the variance?

a)

The smaller the variance, the data values tend to deviate more from the mean.

b)

The larger the variance, the data values tend to deviate less from the mean.

c)

The larger the variance, the data values tend to deviate more from the mean.

d)

The smaller the variance, the more heterogeneous are the data values.

88.

Suppose a frequency distribution of the weights of a sample of 250 milk fish is negatively skewed with a median of 75 grams and a mode of 80 grams. Which of the following is a possible value for the mean of the distribution?

a)

75 grams

b)

91 grams

c)

86 grams

d)

64 grams

89.

Consider the two sets of data, X and Y.

X

9 3 2 4 7 10 1

Y

1 6 5 2 8 11

The medians for the two sets can be easily determined as 4 for set X and 5.5 for set Y.

Which of the following statements is true for the median of Z, the data set resulting from combining the two data sets?

a)

The median of Z cannot be determined since X and Y are two different data sets.

b)

The median of Z is 5.5, which is the higher of the two medians.

c)

The median of Z is 4.75, which is determined by getting the average of the two medians.

d)

The median of Z is 5.

90.

Records show that the mean weight of the 50 newly hatched crocodiles in a crocodile farm is 7.50 pounds. If the mean weight of the 28 female crocodiles is 6.75 pounds, what is the mean weight of the male crocodiles?

a)

8.45 pounds

b)

7.12 pounds

c)

7.125 pounds

d)

8.25 pounds

91.

Professor Gazini, a Stat instructor, asks her four students Piglet, Mooning, Hokey and Peggy to choose four numbers from 1 to 10 inclusive without repetition. The table below shows the results of the numbers chosen by her four students.

Peggy

1, 3, 6, 9

Mooning

1, 2, 3, 4

Hokey

1, 3, 5, 8

Piglet

1, 5, 7, 9

Which of the following statements is TRUE?

a)

Hokey’s numbers have the largest standard deviation

b)

Peggy’s numbers have the smallest standard deviation

c)

Mooning’s numbers have the smallest standard deviation

d)

Piglet’s numbers have the largest standard deviation

92.

Professor Gazini, a Stat instructor, asks her four students Piglet, Mooning, Hokey and Peggy to choose four numbers from 1 to 10 inclusive without repetition. The table below shows the results of the numbers chosen by her four students.

Peggy

1, 3, 6, 9

Mooning

1, 2, 3, 4

Hokey

1, 3, 5, 8

Piglet

1, 5, 7, 9

If all sixteen numbers are combined, what is (are) the mode(s) of the combined data?

a)

1 only

b)

9 only

c)

1, 3, 5, and 9

d)

1 and 3

93.

Professor Gazini, a Stat instructor, asks her four students Piglet, Mooning, Hokey and Peggy to choose four numbers from 1 to 10 inclusive without repetition. The table below shows the results of the numbers chosen by her four students.

Peggy

1, 3, 6, 9

Mooning

1, 2, 3, 4

Hokey

1, 3, 5, 8

Piglet

1, 5, 7, 9

Whose data set has the smallest range?

a)

Hokey

b)

Peggy

c)

Mooning

d)

Piglet

94.

Professor Gazini, a Stat instructor, asks her four students Piglet, Mooning, Hokey and Peggy to choose four numbers from 1 to 10 inclusive without repetition. The table below shows the results of the numbers chosen by her four students.

Peggy

1, 3, 6, 9

Mooning

1, 2, 3, 4

Hokey

1, 3, 5, 8

Piglet

1, 5, 7, 9

Based from the four data sets, what is the largest coefficient of variation?

a)

51.64%

b)

70.26%

c)

73.68%

d)

79.86%

95.

Suppose that the distribution of 50 scores in an exam leads to a mean of 85 with a standard deviation of 5. If we added 3 points to the original scores, the standard deviation will change.

a)

True

b)

False

96.

Suppose that the distribution of 50 scores in an exam leads to a mean of 85 with a standard deviation of 5. If we added 2 points to each observation, then the new computed mean will be twice the original mean.

a)

True

b)

False

97.

For a distribution with mode 72, median 68, and mean 59, the distribution is negatively skewed.

a)

True

b)

False

98.

A large value of any measure of variability indicates that the data are clustered closely around the mean.

a)

True

b)

False

99.

If all the numerical observations in a data set are the same, then its standard deviation is one.

a)

True

b)

False

100.

A cashier at 7-eleven Convenience Store recorded the amount spent by the first 300 customers on a given day. Based on this sample size, what is the estimate of the standard error of the skewness coefficient using the alternative formula?

a)

0.600.30

b)

0.30

c)

0.34

d)

0.14

101.

Given the following data, a descriptive analysis was conducted and one of the statistics generated by the stat software is 0.687. What does this value represent?

150

200

116

189

210

150

143

178

190

139

a)

standard error of kurtosis

b)

kurtosis coefficient

c)

skewness coefficient

d)

standard error of skewness

102.

Given the following data, a descriptive analysis was conducted and one of the statistics generated by the stat software is -1.25. What does this value represent?

150

200

116

189

210

150

143

178

190

139

a)

skewness coefficient

b)

standard error of kurtosis

c)

standard error of skewness

d)

kurtosis coefficient

103.

a decision-making process for testing the claims about a population parameter based on the characteristics of a sample randomly taken from the population

(a)

104.

a statement that specifies a particular value (or values) for the parameter being studied. It is the hypothesis that is being tested.

(a)

105.

specifies those values of the parameter that represent an important change from the null hypothesis. It opposes the null hypothesis.

(a)

106.

It is a statement that specifies a particular value (or values) for the parameter being studied. It is the hypothesis that is being tested.

(a)

107.

, specifies those values of the parameter that represent an important change from the null hypothesis. It opposes the null hypothesis.

(a)

108.

It is a statistic computed from the sample on which the decision to reject or not to reject H0 is based. If the computed test statistic falls in the rejection region, the H0i s rejected.

(a)

109.

It is the boundary between the rejection region and the nonrejection region.

(a)

110.

In a standard normal distribution, the mean is zero.

a)

True

b)

False

111.

The null hypothesis is not rejected when the computed test statistic falls in the rejection region.

a)

True

b)

False

112.

When the null hypothesis is rejected, then this implies that the sample data provide sufficient evidence to contradict the null hypothesis in favor of the alternative hypothesis.

a)

True

b)

False

113.

It is the probability of observing a test statistic value as extreme as the one computed from the sample data if the null hypothesis is true.

(a)

114.

A small p-value basically means that your data are unlikely under some null hypothesis.

a)

True

b)

False

115.

The rationale behind hypothesis testing relies on having something that is normally distributed.

(a)

116.

In designs in which you test several groups of participants this assumption means that each of these samples comes from populations with the same variance.

(a)

117.

Data should be measured at least at the interval level (interval or ratio)

(a)

118.

In some cases it means that data from different participants are independent, which means that the behaviour of one participant does not influence the behaviour of another.

(a)

MEC 51

Total questions: 118

Worksheet time: 1hrs 26mins

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