SAT Problem Solving & Data Analysis 3

Question 1

A data set has values 4, 8, 8, 10, 15. What is the median?

Accepted Answer

8

Answer

With five ordered values, the middle (third) value is 8.

Question 2

The mean of five numbers is 12. If four of them are 10, 11, 13, and 14, what is the fifth?

Accepted Answer

12

Answer

The total is 5 × 12 = 60, and 60 − (10+11+13+14) = 12.

Question 3

Which measure of center is most affected by an extreme outlier?

Accepted Answer

Mean

Answer

The mean uses every value, so a single extreme value shifts it significantly.

Question 4

A data set is 3, 5, 7, 9, 11. What is the range?

Accepted Answer

8

Answer

Range = maximum − minimum = 11 − 3 = 8.

Question 5

The mode of the data set 2, 4, 4, 6, 6, 6, 8 is:

Accepted Answer

6

Answer

The value 6 appears three times, more than any other value.

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