Q. Consider the frequency distribution given below [table] Class-Interval | Frequency ; 0-10 10-20 20-30 30-40 40-50 | 4 6 10 16 14 [/table] The mean of the above distribution is

A) 25
B) 35
C) 30
D) 31
Explanation

(d)
[table] CI | $\mathbf{x}$ | $\mathbf{f}$ | $\mathbf{xf}$ ; 0-10
10-20
20-30
30-40
40-50 | 5
15
25
35
45 | 4
6
10
16
14 | 20
90
250
560
630 ; | | $\sum_{}^{}f = 50$ | $\sum_{}^{}{fx} = 1550$ [/table]
$\therefore Mean\ \frac{\sum_{}^{}{fx}}{\sum_{}^{}f} = \frac{1550}{50} = 31$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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