Question

1. in which data set below, does the mean equal 10?

a. 10, 15, 15, 15, 20
b. 7, 8, 10, 12, 13
c. 10, 10, 10, 15, 20
d. 1, 2, 3, 2, 2

Explanation:

Step1: Calculate mean of Set A

$\text{Mean}_A = \frac{10 + 15 + 15 + 15 + 20}{5} = \frac{75}{5} = 15$

Step2: Calculate mean of Set B

$\text{Mean}_B = \frac{7 + 8 + 10 + 12 + 13}{5} = \frac{50}{5} = 10$

Step3: Calculate mean of Set C

$\text{Mean}_C = \frac{10 + 10 + 10 + 15 + 20}{5} = \frac{65}{5} = 13$

Step4: Calculate mean of Set D

$\text{Mean}_D = \frac{1 + 2 + 3 + 2 + 2}{5} = \frac{10}{5} = 2$

Answer:

B. 7, 8, 10, 12, 13