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What is the mean, median, and mode of the following data? Class Interval Frequency 30–40 18 40–50 37 50–60 45 60–70 2
Question

What is the mean, median, and mode of the following data?

Class Interval
Frequency
30–40
18
40–50
37
50–60
45
60–70
27
70–80
15
80–90
8

(X̄) (Mean) (M) (Median) (Z) (Mode)

A.

55.53, 53.08, 54.44

B.

54.44, 53.08, 55.53

C.

53.08, 54.44, 55.53

D.

55.53, 54.44, 53.08

Correct option is D

Mean = Σfx/Σf = 8330/150 = 55.53
Median class = 50–60 => M = 50 + (75–55)/45 ×10 = 54.44
Mode class = 50–60 => Z = 50 + (45–37)/(90–37–27)×10 = 53.08

Hence, Mean = 55.53, Median = 54.44, Mode = 53.08
(Follows relation Mean > Median > Mode → Positively skewed.)

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