Question

finding the mean of a frequency distribution approximate the mean of the frequency distribution below. complete the table, and the formula to calculate the mean.

10). the ages of the residents of medicine lake, montana, in 2010 (source: u.s. census bureau)

\\(\

$$\begin{array}{cc} \\text{age} & \\text{frequency} \\\\ 0-9 & 30 \\\\ 10-19 & 28 \\\\ 20-29 & 17 \\\\ 30-39 & 22 \\\\ 40-49 & 23 \\\\ 50-59 & 46 \\\\ 60-69 & 37 \\\\ 70-79 & 18 \\\\ 80-89 & 4 \\end{array}$$

\\)

Explanation:

Calculate class midpoints

Using the Class Midpoint knowledge point

$$
LATEXBLOCK0
$$

Calculate total frequency

Using the Frequency Distribution knowledge point

$$
LATEXBLOCK1
$$

Calculate sum of products

Using the Grouped Mean Calculation knowledge point

$$
LATEXBLOCK2
$$

Calculate the grouped mean

Using the Grouped Mean Calculation knowledge point

$$
LATEXBLOCK3
$$

Answer:

$$\mu \approx 41.4\text{ years}$$