The following data represent the number of people aged 25 to 64 years covered by health insurance (private or government) in 2003.

The following data represent the number of people aged 25 to 64 years covered by health insurance (private or government) in 2003. Approximate the mean and standard deviation for age.

Expert Solution

I have converted everything in actual millions.

The grouped data information provided, with the corresponding frequencies is shown in the table below:

Classes	Frequency (f)
25-34	20,200,000
35-44	35,900,000
45-54	32,700,000
55-64	29,800,000

For each of the grouped classes we need to compute the midpoint (M), by calculating the average between the lower and upper value of the class. Then, the following table is obtained:

Classes	M	f	M · f	M² · f
25-34	29.5	20200000	595900000	17579050000
35-44	39.5	35900000	1418050000	56012975000
45-54	49.5	32700000	1618650000	80123175000
55-64	59.5	29800000	1773100000	105499450000
	Sum =	118600000	5405700000	259214650000

From the table, we compute the sample mean as follows:

Also, the sample variance is calculated as follows:

Therefore, the sample standard deviation s is directly computed by taking the square root from the sample variance.

Please upvote. Let me know in the comments if anything is unclear. I will reply ASAP!

orchestra answered 2 years ago

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