The frequency distribution was obtained using a class width of 0.5 for data on c

Question

The frequency distribution was obtained using a class width of 0.5 for data on cigarette tax rates. Use the frequency distribution to approximate the mean and standard deviation. Compare these results to the actual mean = $1.587 and standard deviation = $1.073 Click the icon to view the frequency distribution for the tax rates. The population mean is (Round to three decimal places as needed.) Frequency distribution of cigarette tax rates Tax Rate Frequency 0.00-0.49 0.50 0.99 12 1.00-1.49 1.50-1.99 200 249 5 2.50-2.99 3.00-3.493 3.50-3.99 4.00-4.49 Print Done parts

Explanation / Answer

The given data along with midpoints is given below:

The mean is fx / x

= (0.245 * 7 + 0.745 * 12 + 1.245 * 8 + 1.745 * 6 + 2.245 * 5 + 2.745 * 5 + 3.245 * 3 + 3.745 * 2 + 4.245 * 2) / (0.245 + 0.745 + 1.245 + 1.745 + 2.245 + 2.745 + 3.245 + 3.745 + 4.245)

= 4.0460.

Tax Rate Mid point (x) Frequency (f) 0.00-0.49 0.245 7 0.50-0.99 0.745 12 1.00-1.49 1.245 8 1.50-1.99 1.745 6 2.00-2.49 2.245 5 2.50-2.99 2.745 5 3.00-3.49 3.245 3 3.50-3.99 3.745 2 4.00-4.49 4.245 2

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