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: 24.3 36.1 36.7 20.9
(Millions)
The mean age is:
The standard deviation is:

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Accepted Answer

The mean age is equal to: 44.09.The standard deviation is equal to: 10.07.How to determine the mean age and standard deviation?First of all, we would determine the median of each class interval as follows:Median 1 = (25 + 34)/2 = 29.5Median 2 = (35 + 44)/2 = 39.5Median 1 = (45 + 54)/2 = 49.5Median 1 = (55 + 64)/2 = 59.5Next, we would calculate the mean age by using this mathematical expression:Mean age = ∑fx/∑fSubstituting the given parameters into the formula, we have;Mean age = [(24.3 × 29.5) + (36.1 × 39.5) + (36.7 × 49.5) + (20.9 × 59.5)]/(24.3 + 36.1 + 36.7 + 20.9)Mean age = [716.85 + 1,425.95 + 1,816.65 + 1,243.55]/118Mean age = [5,203]/118Mean age = 44.09.Now, we can calculate the standard deviation as follows:Standard deviation, S = √((∑f(xi - μ)²/∑f)Standard deviation, S = √((24.3 × (29.5 - 44.09)² + (36.1 × (39.5 - 44.09)² + (36.7 × (49.5 - 44.09)² + (20.9 × (59.5 - 44.09)²)/(24.3 + 36.1 + 36.7 + 20.9))Standard deviation, S = √((5172.70 + 760.56 + 1,074.14 + 4,963.08)/118)Standard deviation, S = √(11,970.48/118)Standard deviation, S = √101.5Standard deviation, S = 10.07.Read more on standard deviation here: https://brainly.com/question/14676082#SPJ1