Question

Find the mean, median and mode of the data.: Class 0-10 10-20 20-30 30-40 40-50 50-60 60-70 Frequency 4 4 7 10 12 8 5

Answer 1

solve:

c i f i x i u i fi ui c.f.

0-10 4 5 -3 -12 4

10-20 4 15 -2 -8 8

20-30 7 25 -1 -7 15

30-40 10 35 0 0 25

40-50 12 45 1 12 37

50-60 8 55 2 16 45

60-70 5 65 3 15 50

£fi=50. £fi ui=16.

Mean= A +(£fi ui/£fi) ×h

= 35+(16/50)×10

= 35+ 16/5

= 35+3.2

= 38.2 .

Mode= l+ (f1-f0/2f1-f2-f0)×h

=40+ (12-10/2×12-10-8)×10

=40+ (2/6)×10

=40+ 3.3

=43.3 .

Median= l+(n/2-c.f.)/f ×h

=40+(50/2-37)/12 ×10

=40+(-12)/12 ×10

=40-10

=30 .

Answer 2

Here's your answer

Hope it helps