Question

Match the datasets to their averages.

• A. 6
• B. 25
• C. 5
• D. 40

Answer 1

The average of a dataset is given by
$\text{Average}=\frac{\text{Sum of all observations}}{\text{Total number of observations}}.$

Consider the dataset 20, 30, 40, 70.

$\text{Average}=\frac{20+30+40+70}{4}=\frac{160}{4}=40$

Consider the dataset 6, 3, 7, 8, 4, 2.

$\text{Average}=\frac{6+3+7+8+4+2}{6}=\frac{30}{6}=5$

For the dataset 17, 19, 41, 23, we have

$\text{Average}=\frac{17+19+41+23}{4}=\frac{100}{4}=25.$

Lastly, for the dataset 5, 9, 7, 7, 3, 5,

$\text{Average}=\frac{5+9+7+7+3+5}{6}=\frac{36}{6}=6.$