The mean is 30, median is 26.875 and mode is 28.19.
What is Mean?
The mean for a given set of observations is equal to the sum of all the values of a collection of data divided by the total number of values in the data.
Here, given data:
Class Interval frequency(f) mid value(x) xf
16 - 20 2 18 36
21 - 25 7 23 161
26 - 30 14 28 392
31 - 35 8 33 264
36 - 40 8 38 304
41 - 45 1 43 43
Mean = ∑xf / ∑f
= 1200 / 40
= 30
Median = l + {(n/2)-c}/f X h
= 25.5 + (20-9)X5/40
= 25.5 + 55/40
= 25.5 + 1.375
= 26.875
Mode = l + (f₀-f₁)/ (2f₀-f₁-f₂)Xh
= 25.5 + (14-7)/ (2X 14 - 7 - 8) X 5
= 25.5 + 7/13 X 5
= 25.5 + 35/13
= 25.5 + 2.692
= 28.19
Thus, the mean is 30, median is 26.875 and mode is 28.19.
Learn more about Mean, median and mode from:
https://brainly.com/question/15323584
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