Bluebook SAT Test One-Variable Data: Distributions and Measures of Center and Spread 6

Question 1

The test scores for 11 students, listed in order, are: 60, 63, 67, 70, 72, 75, 78, 80, 84, 88, 92. What is the median score?

Accepted Answer

75

Answer

72

Answer

78

Answer

70

Question 2

In a symmetric distribution, the mean is 40 and the standard deviation is 6. What value is 1.5 standard deviations above the mean?

Accepted Answer

49

Answer

46

Answer

52

Answer

43

Question 3

A dot plot shows these values: 3, 3, 4, 4, 4, 5, 5, 6, 6, 10. Which value is an outlier that most distorts the mean?

Accepted Answer

10

Answer

3

Answer

4

Answer

6

Question 4

A dataset of salaries has a mean of $65,000 and a median of $55,000. This suggests the distribution is:

Accepted Answer

Right-skewed

Answer

Symmetric

Answer

Left-skewed

Answer

Uniform

Question 5

For the dataset {2, 4, 4, 4, 5, 5, 7, 9}, what is the difference between the mean and the mode?

Accepted Answer

1

Answer

0.5

Answer

2

Answer

0

Question 6

A histogram shows a roughly uniform distribution of data. In this case, what is most likely true about the mean and median?

Accepted Answer

Mean ≈ Median

Answer

Mean > Median

Answer

Mean < Median

Answer

Mean = 0

Question 7

The interquartile range (IQR) of a dataset is 12. A value is considered an outlier if it falls more than 1.5 × IQR below Q1. If Q1 = 20, below what value would a data point be an outlier?

Accepted Answer

2

Answer

8

Answer

14

Answer

38