Question

The ages of a group of lifeguards are listed.

17, 17, 18, 19, 22, 23, 25, 27, 32, 38

If another age of 18 is added to the data, how would the mean be impacted?

A The mean would stay the same value of about 22.5.
B The mean would stay the same value of about 23.8.
C The mean would increase in value to about 25.6.
D The mean would decrease in value to about 23.3.

Answer 1

Answer: (D): The mean would decrease in value to about 23.3

Step-by-step explanation:

Step 1: Find the Original Mean

Mean = Sum/# of Numbers

Mean = 17 + 17 + 18 + 19 + 22 + 23 + 25 + 27 + 32 + 38/ 10 numbers

Mean = 238/10
Mean = About 23.8

Step 2: Add 18 to the original sum, divide that by 11 numbers

Mean = 238 + 18/11 numbers

Mean = 256/11

Mean = About 23.3

And so, Answer Choice (D) is correct