The mean of the data set in the question is 34.0
How to solve for the mean
We have to find the midpoint of the classes
this would be gotten by the addition of the first and the last numbers divided by 2.
This would be seen in the following way
0 + 11 / 2 = 5.5
12 + 23 / 2 = 17.5
24 + 35 / 2 = 29.5
36 + 47 / 2 = 41.5
48 + 59 / 2 = 53.5
Next we have to multiply the midpoints by the given frequencies in the table
The frequencies * midpoint are
6 * 5.5 = 33
10 * 17.5 = 175
5 * 29.5 = 147.5
14 *41.5 = 581
13 * 53.5 = 695.5
Then the summations of the frequency is
6 + 10 + 5 + 14 + 13 = 48
The summation of the table above would be
33 + 175 + 147.5 + 581 + 695.5 = 1632
The mean would be 1632 / 48 = 34.0
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