Find the mean, median and the mode of the following frequency distribution Class 0-10 10-20 20-30 - Maths - Statistics

Question

Find the mean, median and the mode of the following frequency
distribution

Class
0-10
10-20
20-30
30-40
40-50
50-60
60-70

frequency
4
5
7
10
12
8
4

Neha Sethi · Accepted Answer

Class intervals
xi (Mid point)
fi
fixi

0-10
5
4
20

10-20
15
5
75

20-30
25
7
175

30-40
35
10
350

40-50
45
12
540

50-60
55
8
440

60-70
65
4
260

Total

∑fi=50
∑fixi=1860

Mean=∑fixi∑fi=186050=37 2
For Mode and median refer the formula below:

Mode:l+f1-f02f1-f0-f2×hwhere,l=lower limit of modal classh=size of class intervalf1=frequency of modal classf0=frequency of class preceeding the modal classf2=frequency of class succeeding the modal classMedian=l+n2-cff×hl=lower limit of median classn=number of observationscf=cumulative frequency of class preceeding the median classf=frequency of median classh=class size

Class intervals	x_i(Mid point)	f_i	f_ix_i
0-10	5	4	20
10-20	15	5	75
20-30	25	7	175
30-40	35	10	350
40-50	45	12	540
50-60	55	8	440
60-70	65	4	260
Total		$\sum_{}^{} f_{i} = 50$	$\sum_{}^{} f_{i} x_{i} =$ 1860

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

Find the mean, median and the mode of the following frequency distribution.

Class 0-10 10-20 20-30 30-40 40-50 50-60 60-70

frequency 4 5 7 10 12 8 4