AnswersSC-Statistical Modeling SDPCIntroduction to Statistics

Introduction to Statistics — Unit test Answers

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21
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The histogram below shows the number of points scored by a high school basketball team over two seasons.

Question illustration
A
He should report the mean.
B
He should report the median.
C
He could report either because they are equal.
D
The exact number of points per game are needed to decide.
22
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The table shows the growth, in centimeters, of plants in two different soils after two weeks. Which statement explains which soil tended to have a greater growth?

Question illustration
A
Soil A had greater growth because its data have a greater standard deviation.
B
Soil A had greater growth because its data have a greater mean.
C
Soil B had greater growth because its data have a greater interquartile range.
D
Soil B had greater growth because its data have a greater median.
23

The table shows the battery lives, in hours, of ten Brand A batteries and ten Brand B batteries. Which would be the best measure of variability to use to compare the data?

Question illustration
A
Only Brand A data is symmetric, so standard deviation is the best measure to compare variability.
B
Only Brand B data is symmetric, so the median is the best measure to compare variability.
C
Both distributions are symmetric, so the mean is the best measure to compare variability.
D
Both distributions are skewed left, so the interquartile range is the best measure to compare variability.
24

In some gymnastics meets, the score given to a gymnast is the mean of the judges’ scores after the highest and lowest scores have been tossed out. Nikita’s scores on the floor routine from all of the judges are:7.50, 7.50, 7.75, 7.75, 8.00, 8.00, 8.00, 10.00

A
Her median score does not change.
B
Her median score is lower after removing the highest and lowest scores.
C
Her median score is higher after removing the highest and lowest scores.
D
There is not enough information to determine if her median score increases or decreases.
25

The parallel boxplots below display the number of bite-size snacks that students could grab with one hand for two statistics classes.Which statement best compares the shapes of the distributions of the number of bite-sized snacks for the two classes?

Question illustration
A
The distribution for class 1 and the distribution for class 2 both appear to be fairly symmetric.
B
The distribution for class 1 appears to be skewed left and the distribution for class 2 appears to be symmetric.
C
The distribution for class 1 appears to be skewed right and the distribution for class 2 appears to be symmetric.
D
The distribution for class 1 appears to be skewed right and the distribution for class 2 appears to be slightly skewed left.
26

IQ scores are collected from a sample of students at a large university. The scores are shown below.99, 100, 105, 104, 102, 105, 105, 121, 104

A
102
B
104
C
105
D
110
27

Without making any calculations, which data set has the smallest standard deviation?

A
1, 1, 2, 2, 3, 3
B
1, 3, 5
C
0, 1, 5, 6, 9, 10
D
1, 1, 1, 1, 2, 2, 2, 2
28

Data were collected from a typing class with 45 students. The class had an average of 56 words per minute (WPM) with a standard deviation of 7 WPM. The teacher realized that the data from one student who typed 55 WPM was not entered. If this student’s results were included in the data set, what effect would it have on the standard deviation?

A
The standard deviation would be noticeably larger.
B
The standard deviation would be noticeably smaller.
C
The standard deviation would be about the same, perhaps a little larger.
D
The standard deviation would be about the same, perhaps a little smaller.
29

The distribution of the salaries at a small business is strongly skewed with many people making very modest salaries and a few making very large salaries. Which measure of center, mean or median, is a better indication of a "typical” salary at this business?

A
The mean is better because it is not affected by the high salaries.
B
The median is better because it is not affected by the high salaries.
C
It cannot be determined without knowing the actual salaries.
D
Either one would be a good measure of a typical salary because they are the same value.
30

Data were collected from a typing class with 45 students. The class had an average of 56 words per minute (WPM) with a standard deviation of 7 WPM. The teacher realized that the data from one student who typed 55 WPM was not entered. If this student’s results were included in the data set, what effect would it have on the standard deviation?

A
The standard deviation would be noticeably larger.
B
The standard deviation would be noticeably smaller.
C
The standard deviation would be about the same, perhaps a little larger.
D
The standard deviation would be about the same, perhaps a little smaller.
31

The heights of a sample of 15 students are recorded in the stemplot below.

Question illustration
A
65
B
65.2
C
66
D
67
32

The parallel boxplots below display the quiz grades (out of 30) for two of Mrs. Smith’s Statistics classes.

Question illustration
A
Both distributions appear to be fairly symmetric.
B
The distribution of quiz grades for class 1 appears to be skewed left, and the distribution of quiz grades for class 2 appears to be fairly symmetric.
C
The distribution of quiz grades for class 1 appears to be skewed right, and the distribution of quiz grades for class 2 appears to be fairly symmetric.
D
The distribution of quiz grades for class 1 appears to be skewed right, and the distribution of quiz grades for class 2 appears to be slightly skewed left.
33

Which statements are true about the data used to create the histogram? Select three options.

A
The mean is the best comparison of the measures of center.
B
The juniors tended to have higher essay scores than the sophomores.
C
The medians of both data sets are equal.
D
The interquartile range is the best comparison of the measure of variability.
E
A histogram is the best way to show that both distributions are nearly symmetric.
34

In some gymnastics meets, the score given to a gymnast is the mean of the judges’ scores after the highest and lowest scores have been tossed out. Nikita’s scores on the floor routine from all of the judges are shown below.7.50, 7.50, 7.75, 7.75, 8.00, 8.00, 8.00, 10.00

A
Her score does not change.
B
Her score is lower after removing the highest and lowest scores.
C
Her score is higher after removing the highest and lowest scores.
D
There is not enough information to determine if her score increases or decreases.
35

The parallel dotplots below display the number of cars parked for several days in each of two parking lots.

Question illustration
A
The range for the distribution of the number of cars is larger in lot A.
B
The range for the distribution of the number of cars is larger in lot B.
C
There is a smaller standard deviation in the distribution of the number of cars in lot B.
D
The standard deviation in the distribution of the number of cars is the same for both lots.
36

The scores for 21 students on an exam are summarized in the stemplot below.

Question illustration
A
The mean and median will both increase.
B
Neither the mean nor the median will change.
C
The mean will increase but the median will decrease.
D
The mean will increase but the median will be unchanged.
37

A research study was conducted to measure the time students focused on a task before being distracted. The box plots show the distributions of attention spans of high school and college students.

Question illustration
A
mean
B
median
C
range
D
IQR
38

Without making any calculations, which data set has the smallest standard deviation?

A
1, 1, 2, 2, 3, 3
B
1, 3, 5
C
0, 1, 5, 6, 9, 10
D
1, 1, 1, 1, 2, 2, 2, 2
39

As an introduction to probability, a student is asked to roll a fair, six-sided number cube seven times. The results of those seven rolls are shown below.1, 4, 4, 4, 4, 6, 5

A
1
B
1.53
C
4
D
5
40

As an introduction to probability, a student is asked to roll a fair, six-sided number cube seven times. The results of those seven rolls are shown below.1, 4, 4, 4, 4, 6, 5

A
1
B
1.53
C
4
D
5

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