Question

40 points | Sierra and Alek each have five cousins. Their ages are listed below.

Sierra’s cousins: 2, 11, 12, 13, 15
Alek’s cousins: 9, 11, 11, 12, 13

Which of the following statements is true?
A.For both sets of data, the median is equal to the mean.
B.The ages of Sierra's cousins are more spread out than those of Alek's cousins.
C.The mean age of Sierra's cousins is greater than that of Alek's cousins.
D.There are no outliers.

Answer 1

Find the mean for both:

Sierra: 2 + 11 + 12 + 13 + 15 =  53

53/5 =10.6

Median is the middle value = 12

Alek: 9 + 11 + 11 + 12 + 13 = 56

56/5 = 11.2

Median = 11

A: The medians do not equal the mean.

B: Sierra's are more spread out, ( no identical ages and a greater range ).

C: Sierra's mean is less than Alek.

D. Sierra has an outlier (2).

The answer would be B