Compute estimated mean of frequency distribution, standard deviation, variance

1. Determine the estimated mean of the following frequency distribution.

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Class Frequency
0 up to 5 2
5 up to 10 7
10 up to 15 12
15 up to 20 6
20 up to 25 3

1. Compute the range, the standard deviation, and the variance.

A sample of the amounts paid for parking on Saturday at the downtown parking garage in Toronto was organized into the following frequency distribution.

Amount Paid Frequency
$0.50 up to $0.75 2
0.75 up to 1.00 7
1.00 up to 1.25 15
1.25 up to 1.50 28
1.50 up to 1.75 14
1.75 up to 2.00 9
2.00 up to 2.25 3
2.25 up to 2.50 2
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Solution Preview

31.

The population mean = SUM(average of each class * frequency) / N
= 380 / 30 = …