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Statistics Set 1

Total questions: 140

Worksheet time: 2hrs 52mins

Name
Class
Date
1.

Find the median, mode and range:

3, 5, 7, 9, 11, 8, 3

a)

median:7 mode:9 range:8

b)

median:6 mode:3 range:7

c)

median:7 mode:3 range:8

2.

Calculate the MODE for the data set: 6, 7, 12, 8, 7, 4, 8, 8, 7

a)

7

b)

7.44

c)

8

d)

7 and 8

3.

The act of noticing and describing events or processes in a careful, orderly way.

a)

point of view

b)

observation

c)

secondary source

d)

interpretation

4.

This fractile divides the set into 4 equal parts.

a)

Median

b)

Quartile

c)

Quantile

d)

Decile

e)

Percentile

5.

The median score is also the

a)

75th percentile

b)

5th decile

c)

3rd decile

d)

1st quartile

6.

When a distribution is divided into hundred equal parts, each score point describes the distribution as

a)

percentile

b)

median

c)

quartile

d)

decile

7.

The lower quartile is equal to

a)

50th percetile

b)

25th percentile

c)

2nd decile

d)

3rd quartile

8.

Angie ranks 10th in a class of 40. Her percentile is

a)

75

b)

90

c)

10

d)

25

9.

When a distribution is divided into ten equal parts, each score point describes the distribution as _________

a)

percentile

b)

quantiles

c)

quartile

d)

decile

10.

How many percent corresponds to Q3 if you will interpret it?

                                        

a)

A. 25%   

b)

   B. 50%    

c)

     C. 75%    

d)

       D. 90%

11.

What do you call the raw data, that are NOT sorted into categories, classified, or otherwise grouped, usually written in number list?

    

   

         

a)

A.    Grouped data   

b)

B.     Ungrouped data

c)

C.     Mixed data  

d)

D.    Ordered data

12.

The set of scores: 83, 77, 79, 72, 73, 86, 81, 82, 86, 74 and 74 is an example of:

a)

A. Empirical Data

b)

B. Qualitative Data

c)

C. Grouped Data

d)

D. Ungrouped Data

13.

If correlation value is 0.4, then what is correlation for that?

a)

No correlation

b)

Positive correlation

c)

Negative correlation

d)

None

14.
Which of the following is a measure of variability?
a)
mean
b)
median
c)
mode
d)
standard deviation
15.

Variance measures shows that

a)

What is data?

b)

How much data is far away

c)

how far a data set is spread out.

d)

None

16.

What is relationship between two variables called?

a)

Relationship

b)

Internship

c)

Correlation

d)

norelation

17.

A way of showing data using bars of different heights/lengths is called ....

a)

bar graph

b)

frequency table

c)

pictograph

d)

tally chart

18.

A way of showing data using symbols or pictures is called ...

a)

bar graph

b)

frequency table

c)

pictograph

d)

tally chart

19.

A table that lists items and shows the frequency or number of times they occur is called ...

a)

bar graph

b)

frequency table

c)

pictograph

d)

tally chart

20.

What is the median of 91, 92, 112, 112, 122, 126, 142, 144

a)

112

b)

117

c)

144

d)

122

21.

What is the mode of 91, 92, 112, 112, 121, 126, 142, 144

a)

112

b)

117

c)

144

d)

122

22.

What is the interquartile range of 91, 92, 112, 112, 121, 126, 142, 144

a)

32

b)

51

c)

35

d)

21

23.

1. These are the numbers that summarize data for an entire population.

a)

A. PARAMETER

b)

B. STATISTIC

c)

C. POPULATION

d)

D. SAMPLE

24.

2.     It is the entire group that you want to draw conclusions about.

a)

A. PARAMETER

b)

B. STATISTIC

c)

C. POPULATION

d)

D. SAMPLE

25.

3.     It is the average of a data set.

a)

A. MEAN

b)

B. MEDIAN

c)

C. MODE

d)

D. RANGE

26.

5.     It is defined as the specific group that you will collect data from.

a)

A. POPULATION

b)

B. SAMPLE

c)

C. MEAN

d)

D. STATISTIC

27.

7. What formula is this?

a)

A. POPULATION STANDARD DEVIATION

b)

B. SAMPLE MEAN

c)

C. SAMPLE VARIATION

d)

D. POPULATION MEAN

28.

9. What formula is this?

a)

A. POPULATION MEAN

b)

B. POPULATION VARIANCE

c)

C. SAMPLE MEAN

d)

D. SAMPLE VARIANCE

29.

It is often used to present graphically categorical (or qualitative) distribution.

a)

circle graph or pie graph

b)

bar graph

c)

line graph

d)

pictograph

30.

Involves drawing conclusions and making prediction based on descriptions of data collected.

a)

Statistics

b)

Inferential Statistics

c)

Descriptive Statistics

d)

Discrete Variable

31.

A statement or theory subjected to a test

a)

hypothesis

b)

conclusion

c)

analysis

d)

problem

32.

It involves the collection, organization, and presentation of data and the summary of important values that describes data.

a)

Inferential Statistics

b)

Descriptive Statistics

c)

Statistics

d)

Qualitative Data

33.

It refers to the entire group of individual, objects, or items. It is usually denoted by N

a)

Population

b)

Sample

c)

Data

d)

Variables

34.

It refers to any specific characteristics or attribute that describes a population or a sample.

a)

Variables

b)

Data

c)

Sample

d)

Population

35.

It is the number of times a score appears in a distribution

a)

frequency distribution

b)

grouped data

c)

Cumulative Frequency

d)

Frequency

36.

It is the midpoint or the middle value in a class.

a)

Class Mark (CM)

b)

Class Boundaries

c)

Class Limits

d)

Class size (i)

37.
What is the mode?
a)

the number happening the most

b)
the average
c)

the biggest number minus the smallest number

d)

the middle number

38.
What is the range?
a)
average
b)

the biggest number minus the smallest number

c)

the middle number

d)

the number happening the most

39.

The measure of central tendency which is given by the x-coordinate of the point of intersection of the 'more than' ogive and 'less than' ogive is :

a)

Mean

b)

Median

c)

Mode

d)

None of these

40.

Median of a given frequency distribution is found with the help of a:

a)

Bar graph

b)

Ogive

c)

Histogram

d)

None of these

41.

A branch of Mathematics that deals with collecting, organizing, analyzing and interpreting?

a)

Statistics

b)

Statestics

c)

Stetistics

d)

Staticstics

42.

_________ is a sample in which each individual or object in the entire population has an equal chance of being selected.

a)

Sample

b)

Random Sample

c)

Population

d)

Bias

43.

_______ is the entire group of objects or individuals considered for a survey.

a)

Sample

b)

Random Sample

c)

Population

d)

Bias

44.

The TV station wants to get the opinion of viewers on the look of a new game-show set.  The station's staff calls random people in the phone book.  Is this biased or unbiased?

a)

Biased

b)

Unbiased

45.

A student wants to know which type of pizza the students at his high school prefer. Which option would give an unbiased, representative sample?

a)

Asking all the students in the hot lunch line.

b)

Asking every other student who gets off a school bus.

c)

Asking 10 random students from each homeroom.

d)

Asking all the 10th graders.

46.

A sample is a

a)

subset of the main population that has similar characteristics

b)

subset of the main population

c)

population of the study

d)

representation of the population

47.

If you were planning to study the differences in gender when it comes to procrastination in completing assignments. A good sampling technique to address gender equality is

a)

Simple random sampling

b)

Systematic sampling

c)

Stratified sampling

d)

Cluster sampling

48.

If you were conducting a qualitative case study and you feel that your neighbour and anyone that you can easily reach is also good enough then you are using a

a)

convenience sampling technique

b)

Cluster sampling technique

c)

Snowball sampling technique

d)

Stratified sampling technique

49.

If you select your sample based on preset criteria or characteristic then you are using

a)

Judgmental sampling

b)

Snowball sampling

c)

Simple random sampling

d)

quota sampling

50.

What do we call the non-probability sampling that involves the sample being drawn from that part of the population that is close at hand?

a)

Convenience Sampling

b)

Simple Random Sampling

c)

Systematic Sampling

d)

Cluster Sampling

51.

What do we call the probability sampling in which the researcher randomly selects a subset of participants from a population?

a)

Convenience Sampling

b)

Cluster Sampling

c)

Simple Random Sampling

d)

Stratified Sampling

52.

What do we call probability sampling method in which sample members from a larger population are selected according to a random starting point but with a fixed, periodic interval?

a)

Cluster Sampling

b)

Convenience Sampling

c)

Stratified Sampling

d)

Systematic Sampling

53.

What do we call a sample that is drawn from a number of separate strata of the population, rather than at random from the whole population, in order that it should be representative?

a)

Systematic Sample

b)

Stratified Sample

c)

Simple Random Sample

d)

Convenience Sample

54.

What type of sampling occurs when researchers divide a population into smaller groups, then randomly select among these groups to form a sample?

a)

Cluster Sampling

b)

Simple Random Sampling

c)

Convenience Sampling

d)

Systematic Sampling

55.

You want to gain data about the standardized test scores for all the fifth graders in your county. You have access to lists of fifth graders at other local schools and decide to sample randomly from groups of these fifth graders. What type of sampling did you use?

a)

Simple Random Sampling

b)

Convenience Sampling

c)

Cluster Sampling

d)

Stratified Sampling

56.

You want to survey some local people about changes to the county's transit system. You spend the day at a nearby movie theatre, and survey the people who are leaving. What type of sampling was this?

a)

Simple Random Sampling

b)

Systematic Sampling

c)

Stratified Sampling

d)

Convenience Sampling

57.

You are going to poll a sample of students at your school about their views on recess. You put all 300 students' names into a hat, and pull out 30 of them to survey. What type of sampling is this?

a)

Simple Random Sampling

b)

Systematic Sampling

c)

Cluster Sampling

d)

Stratified Sampling

58.

A political pollster wants to survey the population in your state on how they will vote in the next election. They take a list of all the registered voters and send the survey to every fifth person on the list. What kind of sampling is this?

a)

Convenience Sampling

b)

Systematic Sampling

c)

Simple Random Sampling

d)

Stratified Sampling

59.

What kind of sampling are we using if we first divide our population into groups based upon some factor like age, gender, or voting preference?

a)

Stratified Sampling

b)

Systematic Sampling

c)

Simple Random Sampling

d)

Cluster Sampling

60.

Interview every 10th student who enters the school in the morning.

a)

simple random

b)

voluntary response

c)

systematic

d)

convenience

61.

What is the standard deviation for the data given:

5, 10, 7, 12, 0, 20, 15, 22, 8, 2

a)

6.89

b)

10.1

c)

7.26

d)

9

62.

What is the variance for the data given:

5, 10, 7, 12, 0, 20, 15, 22, 8, 2

a)

47.47

b)

102.01

c)

52.77

d)

81

63.
If the standard deviation of a data set is 4, what is the variance?
a)
2
b)
16
c)
4
64.
Which of the following is a measure of variability?
a)
mean
b)
median
c)
mode
d)
standard deviation
65.
This data is normally distributed.  What percent of the data is in the shaded region?
a)
68%
b)
95%
c)
99.7%
d)
50%
66.
This data is normally distributed.  What percent of the data is in the shaded region?
a)
68%
b)

32%

c)
95%
d)
50%
67.
This data is normally distributed.  What percent of the data is in the shaded region?
a)
68%
b)
32%
c)
16%
d)
50%
68.

The center of the curve represents what value of a data set?

a)

μ = population mean

b)

δ = population standard deviation

c)

Σ= sum of the data values

d)

Ζ = z or standard scores

69.

What's the standard deviation?

a)

150

b)

60

c)

240

d)

30

70.
What does this symbol represent?
a)
Variance
b)
Standard Deviation
c)
Mean Absolute Deviation
d)
Sigma
71.

Given a variance of 64, what is the standard deviation?

a)

8

b)

4096

c)

0

d)

6.8

72.

1. What is the set of statistical method used to describe the relationship between

independent variables and a dependent variable?

a)

a. regression analysis

b)

b. regression equation

c)

c. regression form

d)

d. regression line

73.

The method of least square regression is used to ___________ the residuals.

a)

minimise

b)

maximise

c)

optimise

d)

None of the above.

74.

The purpose of regression analysis is to

a)

obtain a value of X from a value of Y.

b)

illustrate the correlation using the scatterplot.

c)

measure the degree of association between two variables.

d)

predict a value of dependent variable using the value of an independent variable.

75.

What are residuals?

a)

Extreme scores.

b)

The ratio of explained variation to the total variation.

c)

The mean between the observed scores.

d)

The differences between the observed and expected dependent variable scores.

76.

What is the regression equation used for?

a)

To make the graph looks pretty.

b)

To connect the point.

c)

To indicate where all data points should lie.

d)

To make predictions.

77.

the term regression was introduced by....................

a)

R A Fischer

b)

Sir Francis Galton

c)

Karl Pearson

d)

None of these

78.

Linear regression is a statistical regression method which is used for

a)

Predictive Analysis

b)

Real Analysis

c)

Complex Analysis

d)

Functional Analysis

79.

The percent of total variation of the dependent variable Y explained by the set of independent variables X is measured by

a)

Coefficient of Correlation

b)

Coefficient of Skewness

c)

Coefficient of Determination

d)

Standard Error of Estimate

80.

If the Pearson correlation co-efficient R is equal to 1 then

a)

There is a perfect positive relationship between the two variables

b)

There is a negative relationship between the two variables

c)

There is no relationship between the two variables

d)

There is a positive relationship between the two variables

81.

What test statistic is used for a global test of significance?

a)

Z test

b)

t test

c)

Chi-square test

d)

F-test

82.

R-square is a mathematical notation for

a)

Spearman’s Co-efficient of Rank Correlation

b)

Pearson’s Co-efficient of Correlation

c)

The Co-efficient of Determination

d)

The Co-efficient of Variation

83.
Residuals are . . . 
a)
possible models not explored by the researcher
b)
variation in the response variable that is explained by the model
c)
the difference between the observed response and the values predicted by the model
d)
data collected from individuals that is not consistent with the rest of the group
84.

Which of these points appears to be an “Outlier?”

a)

A

b)

B

c)

C

d)

D

85.

This time series plot is an example of:

a)

An increasing trend

b)

Seasonal variation

c)

A decreasing trend

d)

A structural change

86.

This time series plot is an example of:

a)

Seasonality

b)

An increasing trend

c)

Irregular variation

d)

Cyclical variation

87.

This time series plot is an example of:

a)

An increasing trend

b)

Multiple trends

c)

A decreasing trend

d)

A hipster trend

88.

This time series plot is an example of:

a)

Seasonality

b)

Cyclical variation

c)

A decreasing trend

d)

Structural Change

89.

This time series plot is an example of:

a)

Cyclical variation

b)

Irregular change

c)

Seasonality

d)

Multiple trends

90.

This time series plot is an example of:

a)

Cyclical variation

b)

Decreasing trend

c)

Seasonality

d)

Structural change

91.

What is Time Series?

a)

A set of data over a period of time

b)

A set of data over a year

c)

A set of data related with money only

92.

Which one of the following statement BEST describes the time series plot for the period shown?

a)

It shows no trend and no change in variability

b)

It shows increasing linear trend with constant variability

c)

It shows increasing trend with decreasing variability

d)

It shows increasing linear trend with increasing variability

93.

What is the degree of freedom if the sample size is 20?

a)

21

b)

19

c)

20

d)

18

94.

Write the null and alternative hypothesis.

a)

H0: μ1=μ2H_0:\ \mu_1=\mu_2   H1: μ1≠μ2H_1:\ \mu_1\ne\mu_2  

b)

H0: μ1=μ2H_0:\ \mu_1=\mu_2  

H1: μ1<μ2H_1:\ \mu_1<\mu_2  

c)

H0: μ1=μ2H_0:\ \mu_1=\mu_2  

H1: μ1>μ2H_1:\ \mu_1>\mu_2  

95.

Write the null and alternative hypothesis.

a)

H0: μ1=μ2H_0:\ \mu_1=\mu_2   H1: μ1≠μ2H_1:\ \mu_1\ne\mu_2  

b)

H0: μ1=μ2H_0:\ \mu_1=\mu_2  

H1: μ1<μ2H_1:\ \mu_1<\mu_2  

c)

H0: μ1=μ2H_0:\ \mu_1=\mu_2  

H1: μ1>μ2H_1:\ \mu_1>\mu_2  

96.

When should you use the t-test? (select all that apply)

a)

When you are testing a proportion/percentage of a population

b)

When you are testing for a mean

c)

When you are given the population standard deviation

d)

When you are ONLY given the sample standard deviation

97.

What is an one-sample t-test used for?

a)

Comparing means from a sample and a population

b)

Comparing means from two separate samples

c)

Comparing means from two related samples

d)

Comparing means from more than two samples

98.

What t-test type compares the means for two groups?

a)

Paired Samples

b)

Independent

c)

Dependent

d)

Mixed

99.

Which best describes a t-test?

a)

It is a type of descriptive statistics.

b)

It is used to determine if there are significant differences.

c)

It can be used as long as the data is not normally distributed

d)

All of the above.

100.

What is an independent t-test used for?

a)

Comparing means from a sample and a population

b)

Comparing means from two separate samples

c)

Comparing means from two related samples

d)

Comparing means from more than two samples

101.

Which t-test would be used for this example?

'Comparing employee satisfaction at Company A and Company B'.

a)

One sample t-test

b)

Independent t-test

c)

Dependent t-test

d)

Variance t-test

102.

What is this?

a)

Gaussian Distribution

b)

Bell Distribution

c)

Skewed Distribution

d)

Platykurtic Distribution

103.

Identify the type of Skewness

a)

positive

b)

negative

c)

normal

d)

right skewed

104.

Identify the type of Skewness

a)

positive

b)

negative

c)

normal

d)

left skewed

105.

Identify the type of kurtosis

a)

mesokurtic

b)

platykurtic

c)

leptokurtic

d)

negative

106.

Identify the type of kurtosis

a)

mesokurtic

b)

platykurtic

c)

leptokurtic

d)

positive

107.

Identify the type of kurtosis

a)

mesokurtic

b)

platykurtic

c)

leptokurtic

d)

bell shape

108.

what test is appropriate for extremely large sample size?

a)

z-test

b)

t-test

c)

central limit theorem

d)

cannot be determined

109.
A P-value indicates:
a)
the probability that the null hypothesis is true
b)
the probability that the alternative hypothesis is true
c)
the probability of obtaining the results (or one more extreme) if the null hypothesis is true
d)
probability of a Type I error
110.

A math teacher wants to see if two of her classes have the same distribution of test scores. What test should she use?

a)

Chi-square test for Homogeneity.

b)

Chi-square test for independence.

c)

The goodness-of-fit test

d)

random test

111.
Which test would you use .... In 1974, each acre of the Tahoe basin was assessed to see what condition the soil was in.  23% of acres were of type I, 32% were of type II, 41% were of type III, and 16% were of type IV.  This year the region was assessed again and the number of each type were again determined.
a)
Chi-square Goodness of Fit Test
b)
Chi-Square Test for Homogeneity
c)
Chi-Square Test for Independence/Association
d)
Not a Chi-square test
112.

Do private practice doctors and hospital doctors have the same distribution of working hours? Suppose that a sample of 100 private practice doctors and 150 hospital doctors are selected at random and asked about the number of hours a week they work. The results are shown in Table 11.33.

State the degree of freedom for the distribution

(a)  

113.
Find the degrees of freedom.
a)
4
b)
5
c)
6
d)
7
114.
What are the expected counts of a female who likes Pepsi?
a)
10.5
b)
11
c)
14.5
d)
6.3
115.

ANOVA testing is used for ...

a)

Test for one mean

b)

Test for two means

c)

Test for three or more means

d)

Test for independence between two variables

116.

When should you use the t-test? (select all that apply)

a)

When you are testing a proportion/percentage of a population

b)

When you are testing for a mean

c)

When you are given the population standard deviation

d)

When you are ONLY given the sample standard deviation

117.

When testing with α=0.01\alpha=0.01  you get  p=0.12p=0.12 . Your decision should be 

a)

Reject H0H_0 , there is a significant difference

b)

Acceptundefined, there is NOT a significant difference

c)

Rejectundefined, there is NOT a significant difference

d)

Acceptundefined, there is a significant difference

118.

If you wish to test the claim that the mean of the population is 100, the appropriate alternate hypothesis is

a)

x‾=100\overline{x}=100  

b)

μ=100\mu=100  

c)

μ≠100\mu\ne100  

d)

μ>100\mu>100  

119.

What is a one-sample t-test used for?

a)

Comparing means from a sample and a population

b)

Comparing means from two separate samples

c)

Comparing means from two related samples

d)

Comparing means from more than two samples

120.

What is an independent t-test used for?

a)

Comparing means from a sample and a population

b)

Comparing means from two separate samples

c)

Comparing means from two related samples

d)

Comparing means from more than two samples

121.

What is a dependent t-test used for?

a)

Comparing means from a sample and a population

b)

Comparing means from two separate samples

c)

Comparing means from two related samples

d)

Comparing means from more than two samples

122.

Which t-test would be used for this example?


Measuring patients' blood sugar before and after they eat a meal

a)

One sample t-test

b)

Independent t-test

c)

Dependent t-test

d)

Variance t-test

123.

Which t-test would be used for this example?


Comparing employee satisfaction at Company A and Company B

a)

One sample t-test

b)

Independent t-test

c)

Dependent t-test

d)

Variance t-test

124.

Which t-test would be used for this example?


Comparing the GPA of students in this class to the average GPA at CSUSB

a)

One sample t-test

b)

Independent t-test

c)

Dependent t-test

d)

Variance t-test

125.

Which t-test would be used for this example?


Comparing reading scores for a classroom of 3rd grade students to a classroom of 5th grade students

a)

One sample t-test

b)

Independent t-test

c)

Dependent t-test

d)

Variance t-test

126.

Which t-test would be used for this example?


Comparing students' reading skills from when they are in 3rd grade to 5th grade

a)

One sample t-test

b)

Independent t-test

c)

Dependent t-test

d)

Variance t-test

127.

____________ includes all of the elements from a set of data while ______________ consists of one or more observations drawn from the population.

(a)  

128.

This refers to the maximum number of logically independent values which varies in the data sample.

a)

Level of significance

b)

Percentiles

c)

Degree of freedom

d)

Probability

129.

What is the other term for t-distribution?

a)

Student’s t-distribution

b)

Percentile distribution

c)

Probability distribution

d)

Z-distribution

130.

This refers to the measure of position with data divided into 100 parts.

a)

Percentiles

b)

Deciles

c)

Quartiles

d)

Median

131.
Match the following Parametric and its corresponding Non Parametric test. Parametric - 1. Independent T-Test, 2. ANOVA, 3. Paired T Test. Non Parametric - a)Wilcoxon, b) Kruskal Wallis, c) Mann Whitney
a)
1-a, 2-b,3-c
b)
1-b, 2-c, 3-a
c)
1-c,2-b, 3-a
132.
In testing for the difference between two populations, it is possible to use
a)
Mann Whitney
b)
Kruskal Wallis
c)
Wilcoxon
d)
None of the above
133.
Three brands of coffee are rated for taste on a scale of 1 to 10. Six persons are asked to rate each brand so that there is a total of 18 observations. The appropriate test to determine if three brand taste equally good is
a)
Mann Whitney
b)
Kruskal Wallis
c)
Wilcoxon
d)
None of the above
134.
The Mann-Whitney U test is preferred to a t-test when
a)
Data are paired
b)
Sample sizes are small
c)
The assumption of normality is not met
d)
 Sample is dependent
135.
Which statistical measure of central tendency is used for Non Parametric test
a)
Mean
b)
Median
c)
Mode
136.

What does the Lorenz curve represent?

a)

Unemployment rates

b)

Income or wealth distribution within an economy

c)

Interest rates

d)

Gross Domestic Product growth

137.

What is the Gini coefficient used to measure?

a)

Inequality

b)

Unemployment rates

c)

Economic growth

d)

Inflation rates

138.

Corrado Gini's coefficient measures inequality by measuring the cumulative proportion of the population and

a)

the cumulative proportion of gross domestic product

b)

the cumulative proportion of gross national product

c)

the cumulative proportion of per capita income

d)

the cumulative proportion of realistic elasticity

139.

Therefore, a Gini coefficient looks at that proportion of the population's ___________ by measuring perfect equality of income against the _______ curve.

a)

expenditure/Palma

b)

production/Palma

c)

income/Lorenz

d)

production/Lorenz

140.
What is the population of the fourth largest city in a country where the rank-size rule applies if the largest city is two million in population?
a)
250,000
b)
1,000,000
c)
500,000
d)
100,000

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