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Statistics chapter 1-3

Total questions: 119

Worksheet time: 3hrs 56mins

Name
Class
Date
1.

A science of collection, presentation of data.

a)

Population

b)

Statistics

c)

Analysis of Data

d)

None of the above

2.

Refers to the collection of facts where the researcher gets information.

a)

Collection of Data

b)

Organization of Data

c)

Analysis of Data

d)

None of the above

3.

Refers to the organization of data into tables, graphs and charts.

a)

Collection of Data

b)

Collation of Data

c)

Presentation of Data

d)

None of the above

4.

Statistics which is concerned with summarizing values to describe group characteristics of the data.

a)

Descriptive

b)

Inferential

c)

Parametric

d)

Non Parametric

5.

Refers to drawing of conclusions or generalizations from the analysed data.

a)

Analysis of Data

b)

Collection of Data

c)

Interpretation of Data

d)

Non Parametric

6.

Each and every element of a large group of data.

a)

Population

b)

Sample

c)

Variable

d)

Data

7.

True or false:

The costs of items in a shopper’s grocery cart represent quantitative data.

a)

A. TRUE

b)

B. FALSE

8.

True or false:

In the statement “A survey of 500 adults in the U.S. found that 54% drink coffee daily” 54% is a parameter.

a)

A. TRUE

b)

B. FALSE

9.

True or false:

The social security numbers of students in a class represent quantitative data.

a)

A. TRUE

b)

B. FALSE

10.

Decide which method of data collection would be most appropriate:

A study of the effect of using MyStatLab on grades in a statistics course.

a)

A. Observational study

b)

B. Experiment

c)

C. Simulation

d)

D. Survey

11.

A statistics is

a)

A numerical summary of a population

b)

A numerical summary of a parameter

c)

A numerical summary of a sample

d)

12.

In ___________ statistics data is describe through numerical summaries, tables and graphs. While in ___________ statistics the results of the sample are applied to the population

a)

Descriptive, Inferential

b)

Parameter, anecdotal

c)

Inferential, anecdotal

d)

Descriptive, anecdotal

13.

Which of the following are categorical data? Click all that apply

a)

Gender

b)

Zipcode

c)

Temperature

d)

Handyness

e)

Hours studying

14.

Determine whether the quantitative variables are discrete or continuous. Mark all that are discrete and tell me why.

a)

The number of heads obtained after flipping a coin

b)

The number of cars that arrive at Wendy's drive-thru during breakfast

c)

The distance an electric bike can travel on a full charge

d)

The height an NBA player can jump

15.

How many variables are there? Which ones are categorical?

a)

8, 3

b)

3,8

c)

8,5

d)

5,8

16.

The following was taken from a stats class.

The sum of the female category represents the

a)

the population

b)

the sample

c)

females

17.

What type of data is this? Stacked or unstacked and why?

4 lines
18.

Choose the best description.

a)

The international load factor is uniform and skewed left with data ranging from about 55 to 90 passenger miles as percentage of available seat miles.

b)

The international load factor is unimodal and skewed right with data ranging from about 55 to 90 passenger miles as percentage of available seat miles.

c)

The international load factor is unimodal and skewed left with data ranging from about 55 to 90 passenger miles as percentage of available seat miles.

d)

The international load factor is unimodal and symmetric with data ranging from about 55 to 90 passenger miles as percentage of available seat miles.

19.

Choose the best description.

a)

The average wind speed in unimodal and skewed to the right with data ranging from 0 to 7 mph with a gap around 6 mph.

b)

The average wind speed in unimodal and skewed to the left with data ranging from 0 to 7 mph with a gap around 6 mph.

c)

The average wind speed in bimodal and skewed to the right with data ranging from 0 to 7 mph with a gap around 6 mph.

d)

The average wind speed in bimodal and symmetric with data ranging from 0 to 7 mph with a gap around 6 mph.

20.

Choose the best description.

a)

The number of campsites at the parks is bimodal around 0 and 100; and is skewed to the left. The number of campsites range from 0 to about 200 with several outliers at approximately 280, 400, and 480.

b)

The number of campsites at the parks is unimodal around 0 and skewed to the right. The number of campsites range from 0 to about 160 with several outliers at approximately 280, 400, and 480.

c)

The number of campsites at the parks is unimodal around 0 and symmetric. The number of campsites range from 0 to about 160 with several outliers at approximately 280, 400, and 480.

d)

The number of campsites at the parks is unimodal around 0 and skewed to the right. The number of campsites range from 0 to about 500 campsites.

21.

Choose the best description for the adult sugar content.

a)

The median of the adult sugar content is about 46%.

b)

The median of the adult sugar content is about 5%.

c)

The median of the adult sugar content is about 15%.

d)

The median of the adult sugar content is about 8%.

22.

Choose the best description for the children sugar content.

a)

The median of the children sugar content is about 47%.

b)

The median of the children sugar content is about 35%.

c)

The median of the children sugar content is about 15%.

d)

The median of the children sugar content is about 8%.

23.

What is the minimum number of homeruns for the National league?

a)

10

b)

13

c)

103

d)

131

24.

What is the median range of homeruns for the National league?

a)

166

b)

90

c)

1

d)

99

25.

What is the maximum number of homeruns for the American league?

a)

24

b)

45

c)

245

d)

131

26.

What type of Data Display is this?

a)

Line Plot

b)

Pie Chart

c)

Histogram

d)

Stem & Leaf Plot

27.

Pie charts are a good data display because...

a)

They show the correlation of points

b)

They show the percentages of the whole data set

28.

Histograms are good data displays because...

a)

They allow you to group your data values into a range of numbers

b)

They allow you to make a prediction of a future measurement

29.
What type of graph is this?
a)
Bar Graph
b)
Histogram
c)
Line Plot
30.

This is a

a)

dot plot

b)

frequency table

c)

relative frequency table

d)

histogram

31.
Mr. Semo is making a histogram to show the scores on the last science test. He first lists the scores in a stem-and-leaf plot. How many units tall should the bar be for the interval 70-79?
a)
2
b)
5
c)
9
d)
11
32.
How many students are between 48 and 51 inches tall?
a)
14
b)
8
c)
2
d)
0
33.
Raul measured the heights of the apple trees in an orchard.
What percent of the trees are 5-9 feet tall?
a)
18.9%
b)
31%
c)
22.1%
d)
10%
34.
Charlene made a line plot to graph the ages of employees in an outdoor advertising company Suppose Charlene wants to display this data in a histogram with the bars labeled in the following ages: 20–24, 25–29, 30–34, and 35–39. How tall will the 25–29 bar be? 
a)
10
b)
11
c)
12
d)
14
35.
What percentage of males drive sports cars?
a)
35%
b)
16.25%
c)
65%
d)
25%
36.
What percentage of SUV's are driven by women?
a)
56.25%
b)
75%
c)
83.25%
d)
86.5%
37.
What is the percentage of students that are between the ages 10 - 13 and eat breakfast?
a)
About 33%
b)
About 50%
c)
About 40%
d)
About 44%
38.
According to the table, what is the relative frequency of Students ages 14 - 17 who skip breakfast?
a)
About 27%
b)
About 35%
c)
About 15%
d)
About 30%
39.
What is the relative frequency of a person who wears pants out of all those who wear sandals? 
a)
4%
b)
14%
c)
20%
d)
36%
40.
What percentage of males drive sports cars?
a)
35%
b)
16.25%
c)
65%
d)
25%
41.
Of the mechanical engineers, what is the probability that math is their favorite subject?
a)
1.91
b)
52%
c)
17%
d)
35%
42.
What type of data are jersey numbers?
a)
Quantatative
b)
Categorical
43.

If the value we are looking for is smaller than the mean, the value of z is:

a)

Not enough information

b)

Negative

c)

Positive

d)

0

44.

If the value we are looking for is the same as the mean, the value of z is:

a)

Not enough information

b)

Positive

c)

Negative

d)

0

45.

What's the probability of the highlighted area?

(Mean = 30, Variance = 1)

a)

0.8664

b)

0.7863

c)

0.9332

d)

0.8754

46.
The mean GPA of students in a course at UCDavis is 3.2 with a standard deviation of 0.3. What percent of students in the course have a GPA between  2.9 and 3.8? 
a)
81.5%
b)
47.5%
c)
68%
d)
95%
47.
Between what two standard deviations of a normal distribution contain 68% of the data?
a)
one below and one above
b)
two below and two above
c)
two below and zero
d)
zero and two above
48.
The scoring of modern IQ is such that Intelligence Quotients (IQs) have a normal distribution of μ= 100 and 𝞂 = 15.

Mensa International is a non-profit organization that accepts only people with IQ score within the top 2%. What level of IQ qualifies one to be a member of Mensa?
a)
115
b)
130.75
c)
145
d)
120
49.
What is the the total area under the standard normal distribution curve?
a)
100
b)
25
c)
.5
d)
1
50.

Which value is smaller, the mean or the median?

a)

The mean is 22.5 The median is 22

b)

The mean is 20 the median is 22

c)

The median is smaller

d)

The mean is smaller

e)

The mean is 22 The median is 22.5

51.

Which measure of center is more appropriate, the mean or the median?

a)

Mean

b)

median

52.

The shape of the distributions is __________________________________________.

a)

Skewed left

b)

Skewed right

53.

Which value is smaller, the mean or the median?

a)

mean = 2.14 median = 2.5

b)

mean = 2.14 median = 2

c)

mean = 2 median = 2.14

d)

The median is smaller

e)

The mean is smaller

54.

Which measure of center is more appropriate, the mean or the median? Why?

a)

Mean because this is a skewed data set.

b)

Median because this is a skewed data set

55.

The shape of the distributions is _______________________________________.

a)

Skewed left

b)

Skewed right

56.

Which value is smaller, the mean or the median?

a)

Mean = 7 Median = 9.1

b)

Mean = 9.1 Median = 7

c)

The mean is smaller

d)

The median is smaller

57.

What is the median and mean?

a)

Median = 87 Mean = 86.8

b)

Median = 87.5 Mean = 84

c)

Median = 80 Mean = 85.8

58.
Which has a Median of 1?
a)
Zach 
b)
Steven 
c)
They both have a median on 1
59.

Which city has skewed right spread?

a)

Millersburg

b)

Arcadia

60.

What is the overall shape of the graph?

a)

Approximately Symmetrical

b)

Skewed Left

c)

Skewed Right

61.

Use the 1.5 IQR rule to determine if there are any outliers for the following numbers:

84, 88, 72, 74, 98, 35, 94

a)

Yes, 35 is an outlier.

b)

Yes, 33 is an outlier.

c)

Yes, 98 is an outlier.

d)

There are no numbers less than 39 or greater than 124, therefore there are no outliers.

62.

What is the Range of this data set?

a)

13

b)

37

c)

72

63.
Which has a larger IQR?
a)
Zach
b)
Steven
c)
They have the same IQR
64.

What is the Interquartile Range of this data set? The lower (first) quartile is 19 and the upper (3rd) quartile is 56.

a)

75

b)

37

c)

72

65.

Which box and whisker plot has an upper extreme of 100?

a)

Plot 1

b)

Plot 2

c)

Plot 3

d)

Plot 4

66.

Which plot has a median of 50?

a)

Plot 1

b)

Plot 2

c)

Plot 3

d)

Plot 4

67.

What is the Q1 of this data set?

6, 7, 2, 1, 5, 2, 1, 6

a)

1

b)

1.5

c)

2

d)

2.5

68.

What is the Q3 of this data set?

6, 7, 2, 1, 5, 2, 1, 6

a)

5

b)

6

c)

5.5

d)

6.5

69.

Identify the median for the given data?

23, 34, 27, 7, 30, 26, 28, 31, 34

a)

28

b)

23

c)

31

d)

34

70.

Which of the following lists all parts of the five number summary?

a)

Mean, Median, Mode, Range, and Total

b)

Minimum, Quartile 1, Median, Quartile 3, and Maximum

c)

Smallest, Q1, Q2, Q3, and Q4

d)

Minimum, Maximum, Range, Mean, and Median

71.

What do points A and E represent on the box plot?

a)

Mean and Mode

b)

Mean and Median

c)

Least and Greatest Value

d)

First and Third Quartiles

72.

What percent of the data is between 25 and 30 on the number line?

a)

25%

b)

`50%

c)

75%

d)

100%

73.

What percentage of the data is between 90 and 140?

a)

25 %

b)

50%

c)

75%

d)

100%

74.

Interquartile Range is

a)

the difference between the third quartile and the first quartile

b)

the difference between the greatest and least data values.

75.

Range is

a)

the difference between the third quartile and the first quartile

b)

the difference between the greatest and least data values.

76.

What do points B and D represent on the box plot?

a)

Mean and Mode

b)

Mean and Median

c)

Least and Greatest Value

d)

First and Third Quartiles

77.
What percentage of the data is between 40 and 150?
a)
25 %
b)
50%
c)
75%
d)
100%
78.
What percent of students have heights between 60 inches and 66 inches?
a)
75%
b)
50%
c)
100%
d)
25%
79.
11. What percentage of the data is between 90 and 140?
a)
25 %
b)
50%
c)
75%
d)
100%
80.
What percent of the data is between 25 and 30 on the number line?
a)
25%
b)
`50%
c)
75%
d)
100%
81.
Which of the following best describes the shape of the distribution?
a)
SKEWED LEFT
b)
SKEWED RIGHT
c)
UNIFORM
d)
SYMMETRICAL
82.

Two sections of statistics are offered, the first is at 10 am and the second is at 3 pm. In the 10 am class 20 of the students are over 30, while in the 3 pm class only 10 of the students are over 30.

A student claims that younger students prefer a later stats class. What information is missing that might contradict this claim?

a)

The teacher's age

b)

the median

c)

the total number of students in each class

d)

No information is missing this claim is true

83.

Is the study observational or a controlled experiment?

A teacher watched to see if her students would cheat on a test given the opportunity.

a)

Observational study

b)

Controlled experiment

84.

Is the study observational or a controlled experiment?

Patients are randomly assigned a new vaccine or a placebo to test the effects.

a)

Observational study

b)

Controlled experiment

85.

Evidence that comes from personal experiences, friend/family observations, or interviews of acquaintances is which type? Anecdotal or factual?

(a)  

86.

What type of evidence is this: Trains are a dangerous way to travel. I know because I was in a train wreck. We will be much safer if we fly.

a)

Opinion

b)

Anecdotal

c)

Fact

d)

Research Study

87.

How does anecdotal evidence contrast with scientific evidence?

a)

They are stories about individual cases

b)

They are stories about multiple cases

c)

They are always more accurate than scientific evidence

d)

They have the strongest strength of evidence out of all types of evidence

88.

You can find many testimonials on the internet that drinking aloe vera juice helps with joint mobility. From these testimonials can we conclude that aloe vera juice eliminates joint pain? Why or why not?

a)

Yes, the testimonials are examples of anecdotal evidence, there is no control group and no comparison

b)

Yes, these testimonials are an example of scientific evidence, there is a control group and a treatment group

c)

No, these testimonials are an example of scientific evidence, there is a control and a treatment group

d)

No, these testimonials are examples of anecdotal evidence, there is no control and no comparison.

89.

Sporting Illustrated collects data on its readers by asking them to fill out and send in a survey from the June issue.

a)

Convenience

b)

Systematic

c)

Stratified

d)

Simple Random

90.

A teacher puts all her students' names in hat, then selects 3 names from the hat. These students will take a standardized test.

a)

Convenience

b)

Systematic

c)

Stratified

d)

Simple Random

91.
Dylan wants to know how the students at his school rate the cafeteria.  He surveyed his school's basketball team to rate the school cafeteria. Is this a biased sample of the school's population?
a)
Yes, because it is a convenience survey
b)
No, the basketball team has the smartest students
c)
Yes, because it's voluntary survey
d)
No, he should have asked the football team
92.

Identify the Sample:

A restaurant wants to know if their customers buy dessert when they eat out. As people leave the restaurant one evening, 20 people are surveyed at random. Eight people say they usually order dessert when they eat out. The restaurant concluded that most customers do not order dessert.

a)

20 customers

b)

All customers

c)

8 customers

d)

Dessert

93.

Identify the Population:

Shenandoah County Public Schools randomly selected 230 teachers to find out which technology resource it's teachers feel is the most effective.

a)

230 Teachers

b)

All Shenandoah County Teachers

c)

Students

d)

Shenandoah County Public Schools

94.

One group of subjects was given an herbal supplement and another group was given a placebo. After one year, the number of illnesses each group had was compared.

a)

Observational Study

b)

Experiment

95.

A professor finds that people who are obese have higher cholesterol levels than those who are not obese.

a)

Observational Study

b)

Experiment

96.

Rats with cancer are divided into two groups. One group receives 5 milligrams of a medication that is thought to fight cancer and the other receives 10 mg. After 2 years, the spread of cancer is measured.

a)

Observational Study

b)

Experiment

97.
A placebo is...
a)
an inactive "look-alike" meant to seem real
b)
a rare type of African bird indigenous to the foothills of Morocco
c)
Something used to hunt with
d)
the change in symptoms as a result of an inactive "look-alike"
98.
The placebo effect is...
a)
 the change in frequency or wavelength of a wave for an observer moving relative to its source.
b)
the change in symptoms as a result of an inactive "look-alike"
c)
an inactive "look-alike" meant to seem real
d)
the effect of the domino theory
99.

A numerical description of a sample characteristic

a)

Statistic

b)

Statistics

c)

Parameter

d)

Data

100.

A numerical description of a population characteristic.

a)

Parameter

b)

People

c)

Statistics

d)

Data

101.

Is the following a parameter or statistic?

The average annual salary for 35 of a company's 1200 accountants is $68,000.

a)

parameter

b)

statistic

102.

What type of data would this question collect:


How many siblings do you have?

a)

Numerical Discrete

b)

Numerical Continuous

c)

Categorical Ordinal

d)

Categorical Nominal

103.

What type of data would this question collect:


What height are you in cm?

a)

Numerical Discrete

b)

Numerical Continuous

c)

Categorical Ordinal

d)

Categorical Nominal

104.

What type of data would this question collect:


How many students are in your class?

a)

Numerical Discrete

b)

Numerical Continuous

c)

Categorical Ordinal

d)

Categorical Nominal

105.

Writing a question in such a way that you influence the outcome is called ...

a)

Primary Data

b)

Secondary Data

c)

Bias

106.

What is a quantitative variable that could have an infinite number of values?

a)

categorical variable

b)

qualitative variable

c)

discrete variable

d)

continuous variable

107.

What is the branch of statistics that involves drawing conclusions about a population based on information contained in a sample taken from that population?

a)

descriptive statistics

b)

inferential statistics

c)

sports statistics

d)

health statistics

108.
The data set contains ...
a)
6 variables, 3 of which are categorical
b)
6 variables, 2 of which are categorical
c)
5 variables, 3 of which are categorical
d)
5 variables, 2 of which are categorical
109.
A random sample of Kennedy High students were asked what their favorite social media platform is. What type of display would be appropriate for these data? 
a)
Stem-and-Leaf Plot
b)
Histogram
c)
Dot Plot
d)
Bar Chart
110.
A relative frequency table displays percentages instead of counts. What percentage of students surveyed prefer Twitter?  (For practice, please draw a relative frequency bar chart on your paper)
a)
15.8 %
b)
31.6 %
c)
50 %
d)
16.2 %
111.
A sample of high school students from the US and the UK were asked to choose their favorite superpower.  What percent of students from the UK selected "Invisibility" for their superpower preference?
a)
15%
b)
30%
c)
55%
d)
37%
112.
What percent of people who lived were third class passengers?
a)
32.8%
b)
34.2%
c)
24.9%
d)
62.5%
113.
Test score data for a class of statistics students is shown in the histogram.  Describe the distribution. 
(Remember - SOCS)
a)
Symmetric, Unimodal, No outliers, centered at 70, values tightly clustered near the center 
b)
Left Skewed, Unimodal, No outliers, centered at 60, values tightly clustered near the center 
c)
Left skewed, bimodal, no outliers, centered at 60, values tightly clustered near the center 
d)
Symmetric, unimodal, outlier at 30, centered around 50, values tightly clustered near the center 
114.
Describe the distribution. 
(SOCS)
a)
Symmetric, Bimodal, Right skewed, No outliers, center at about 2, data values tightly clustered near the center
b)
Unimodal, Left skewed, Possible outlier at 37, Centered at 2, Large Spread of values (high variation)
c)
Bimodal, Right skewed, Possible outlier at 37, Centered at 7, Large Spread of values (high variation)
d)
Multimodal, Left skewed, Possible outlier at 37, Centered at 7, Large Spread of values (high variation)
115.

How many bins are there? What is the class width?

a)

There are 7 bins, with a class width of 1 mph

b)

There are 8 bins with a class width of 1 mph

c)

There are 7 bins with a class width of 0.5mph

d)

There are 8 bins with a class width of 0.5 mph

116.

Variable that may not be seen, but is a variable that has an important effect on the relationship between the explanatory & response variables.

a)

Confounding

b)

Lurking

c)

Explanatory

d)

Response

117.

There's a positive association between ice cream sales and the number of people who drown. Does that mean eating ice cream causes people to drown?

a)

Yes, one clearly causes the other

b)

No, there are other lurking variables causing a common response

c)

No

d)

Yes

118.

A study found that the correlation coefficient between SAT scores and college grades was r = 0.52. Does this mean that your score on the SAT causes your college grades?

a)

Yes, that's a moderate positive correlation, so SAT scores cause college grades.

b)

Yes

c)

No, common response shows that such lurking variables as academic ability, study habits, etc. also affect college grades

d)

No, that's a moderate positive correlation, so SAT scores can't cause college grades.

119.
Why do we randomly select our samples?
a)
for control
b)
reduce bias
c)
so we don't get the same answers from everyone
d)
to eliminate confounding results

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