Question

The data set shows the year's coldest temperatures (in degrees Fahrenheit) for a few cities. Which value would be the best measure of center for this data?

12, 14, 16, 20, 20, 22, 24, 26, 26, 26, 30, 30, 32
A.
12
B.
14
C.
24
D.
30
E.
32

Answer 1

The correct answer option is C. 24.

Explanation:

We are given the following data set:

12, 14, 16, 20, 20, 22, 24, 26, 26, 26, 30, 30, 32

These are 13 values in the data set and we are to find the best measure of center for this data, which is also called the mean.

Since, the number of values is odd, we can use the following formula to find the central value for this data:

`(n+1)/(2)` where n is the number of values

`(13+1)/(2) = (14)/(2) = 7`

Therefore, the 7th value in the data set is the best measure of center which is 24.