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Approximate the mean for the following data set. Round your answer to one decimal place.

Approximate The Mean For The Following Data Set Round Your Answer To One Decimal Place class=

Sagot :

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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