Question

a diver records the depths, in feet, of her dives. they are

60, 58, 53, 49, 60

the mean of the data set is 56.

use the equation for variance below, along with the given data set, to answer the following questions.

\\\sigma^2 = \frac{(x_1 - \mu)^2 + (x_2 - \mu)^2 + \dots + (x_n - \mu)^2}{n}\\

what does the numerator evaluate to?

what does the denominator evaluate to?

the variance equals

Explanation:

Calculate the numerator of the variance formula

Using the Population Variance Calculation knowledge point

$$
LATEXBLOCK0
$$

Determine the denominator of the variance formula

Using the Population Variance Calculation knowledge point

$$ N = 5 $$

Calculate the final variance

Using the Population Variance Calculation knowledge point

$$ \sigma^2 = \frac{94}{5} = 18.8 $$

Answer:

Question 1

What does the numerator evaluate to? <blank>94</blank>

Question 2

What does the denominator evaluate to? <blank>5</blank>

Question 3

The variance equals <blank>18.8</blank>