the table shows the heights of 40 students in a class explain why your answer for a) is an estimate

You have to find the number in the middle of all of the heights and multiply them by the all of the frequency. When you have those answers, add them together and divide the answer by 40. That is why, our answer in part (a) is an estimate.

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fichoh fichoh · Answer 2 · 2021-11-26T14:21:59+01:00

The mean is the average value of an observation, the mean of the grouped data is 129.3 cm

The mean value can be calculated using the relation :

ΣfX/Σf
Sample size, ΣF
x = midpoint = (x1 + x2) /2

ΣF = (7 + 8 + 13 + 9 + 3) = 40

Σfx = (7 × 122) + (8 × 126) + (13 × 130) + (9 × 134) + (3 × 138) = 5172

Mean = ΣFx /ΣF

Mean = 5172 / 40 = 129.3 cm

B.)

The mean value obtained is an estimate because, calculation used the midpoint value existing within a certain range, and not the exact height value of individual student.

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