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
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