Question

Find the mean and standard deviation of the following frequency distribution. (5) Class Intervals Frequency 6.45 – 7.25 7.25 – 8.05 8.05 – 8.85 8.85 – 9.65 9.65 – 10.45 10.45 – 11.25 11.25 – 12.05 12.05 – 12.85 12.85 – 13.65 7 11 34 67 62 67 33 13 6 Total 300

Answer 1

Answer on Question#65329 – Math – Statistics and Probability

Question. Find the mean and standard deviation of the following frequency distribution:

Total 300.

Solution. To find the mean and variation we shall construct the following auxiliary table

(see the similar example on http://www.statcan.gc.ca/edu/power-pouvoir/ch12/5214891-eng.htm):

For example, if we have interval 6.45 – 7.25 then midpoint for it is ______ etc. The mean is equal to $\bar{x} = \_\_ = \_\_ = 10.05$. The variation is $S$ ______ — 7621.

Then standard deviation is equal to 33.

Answer. 33.

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