Math Problem Statement

The following data represent the number of people aged 25 to 64 years covered by health insurance​ (private or​ government) in 2018. Approximate the mean and standard deviation for age. Age ​25-34 ​35-44 ​45-54 ​55-64

Number​ (millions) 23.7 38.2 36.7 25.2 Mean Age ( 𝜇 μ):Recall that the population mean is given by the formula mu equals StartFraction Upper Sigma x Subscript i Baseline f Subscript i Over Upper Sigma f Subscript i EndFraction equals StartFraction x 1 f 1 plus x 2 f 2 plus ... plus x Subscript n Baseline f Subscript n Baseline Over f 1 plus f 2 plus ... plus f Subscript n EndFraction where x Subscript i is the midpoint or value of the ith​ class, f Subscript i is the frequency of the ith​ class, and n is the number of classes.

Solution

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Math Problem Analysis

Mathematical Concepts

Statistics
Descriptive Statistics
Weighted Mean
Standard Deviation

Formulas

Mean (μ) = Σ(xi * fi) / Σfi
Standard Deviation (σ) = sqrt(Σ(fi * (xi - μ)^2) / Σfi)

Theorems

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Suitable Grade Level

Grades 10-12