Bluebook SAT Test One-Variable Data: Distributions and Measures of Center and Spread 1

Question 1

A dataset of 7 values has a mean of 12. If a new value of 12 is added to the dataset, what happens to the mean?

Accepted Answer

The mean stays the same

Answer

The mean increases

Answer

The mean decreases

Answer

The mean cannot be determined

Question 2

The dot plot shows the number of hours students studied: 1, 1, 2, 3, 3, 3, 4, 5, 5, 8. Which measure of center best represents this dataset if the goal is to avoid distortion from the outlier?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Answer

Range

Question 3

Dataset A: {2, 4, 6, 8, 10} and Dataset B: {4, 5, 6, 7, 8}. Both datasets have the same mean. Which dataset has the greater standard deviation?

Accepted Answer

Dataset A

Answer

Dataset B

Answer

Both have equal standard deviation

Answer

Standard deviation cannot be compared

Question 4

A box plot shows the following five-number summary: Min=10, Q1=20, Median=35, Q3=50, Max=80. What is the interquartile range (IQR)?

Accepted Answer

30

Answer

70

Answer

45

Answer

15

Question 5

A class of 10 students scored: 70, 72, 74, 75, 76, 78, 79, 80, 82, 84. What is the median score?

Accepted Answer

77

Answer

76

Answer

78

Answer

75

Question 6

A histogram shows heights of plants. The distribution is strongly skewed right. Which statement about the mean and median is most likely true?

Accepted Answer

Mean > Median

Answer

Mean < Median

Answer

Mean = Median

Answer

Mean and median are both equal to the mode

Question 7

The ages of five employees are 24, 27, 29, 31, and 34. If a new employee aged 62 joins, what is the effect on the mean and median?

Accepted Answer

The mean increases more than the median

Answer

Both the mean and median increase significantly

Answer

The median increases more than the mean

Answer

Neither the mean nor the median changes