AnswersPBCSD_Grade_Forgiveness_1207350_Mathematics_for_College_Liberal_Arts_S2_2023Introduction to Statistics

Introduction to Statistics — Unit test Answers

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

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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?

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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

best

Question illustration
O
Only Brand A data is symmetric, so standard deviation is the best measure to compare variability.
O
Only Brand B data is symmetric, so the median is the best measure to compare variability.
B
Both distributions are symmetric, so the mean is the best measure to compare variability.
B
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.

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