The following frequency distribution shows the average number of pupils per teacher in the 50 states of

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The following frequency distribution shows the average number of pupils per teacher in the 50 states of the United States. Find the variance and standard deviation for the data.

Class limits                         Frequency
9–11                                                     2
12–14                                                 20
15–17                                                 18
18–20                                                   7
21–23                                                   2
24–26                                                   1
                                                           50

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