Bluebook SAT Test One-Variable Data: Distributions and Measures of Center and Spread 10

Question 1

A dataset is: 5, 10, 15, 20, 25, 30, 200. Removing the value 200 would most likely:

Accepted Answer

Decrease the mean but leave the median relatively unchanged

Answer

The outlier 200 greatly inflates the mean; removing it brings the mean down significantly, while the median is resistant to outliers and changes little.

Question 2

The weights (in pounds) of five packages are 3, 7, 8, 8, and 9. What is the median weight?

Accepted Answer

8

Answer

Arranged in order: 3, 7, 8, 8, 9. With 5 values, the median is the 3rd value, which is 8.

Question 3

Two datasets each have 5 values. Dataset P = {10, 10, 10, 10, 10} and Dataset Q = {6, 8, 10, 12, 14}. Which statement is correct?

Accepted Answer

Dataset Q has a larger standard deviation than Dataset P.

Answer

Dataset P has all identical values, so its standard deviation is 0. Dataset Q has spread around its mean of 10, giving a standard deviation greater than 0.

Question 4

The dot plot below shows the number of books read by students over the summer: 1, 2, 2, 3, 4, 4, 4, 5, 6. What is the mean number of books read?

Accepted Answer

3.4

Answer

Sum = 1+2+2+3+4+4+4+5+6 = 31; count = 9; mean = 31 ÷ 9 ≈ 3.4.

Question 5

A dataset has a range of 40, a Q1 of 25, and a Q3 of 55. What is the interquartile range (IQR)?

Accepted Answer

30

Answer

IQR = Q3 − Q1 = 55 − 25 = 30.

Bluebook SAT Practice Test

Bluebook SAT Practice Test

Bluebook SAT Test One-Variable Data: Distributions and Measures of Center and Spread 10