# Find the Mean, Median and Mode of the Following Data: Classes: 0-20 20-40 40-60 60-80 80-100 100-120 120-140 - Mathematics

Find the mean, median and mode of the following data:

 Classes: 0-20 20-40 40-60 40-60 80-100 100-120 120-140 Frequency: 6 8 10 12 6 5 3

#### Solution

Consider the following data.

 Class Frequency (fi) xi fi xi C.f. 0−20 6 10 60 6 20−40 8 30 240 14 40−60 10 50 500 24 60−80 12 70 840 36 80−100 6 90 540 42 100−120 5 110 550 47 120−140 3 130 390 50 N=sumf=50 sumf_1x_1=3120

Here, the maximum frequency is 12 so the modal class is 60−80.

Therefore,

l = 60

h = 20

f = 12

f1 = 10

f2 = 6

F = 24

Median =l+(N/2-F)/fxxh

=60+(25-24)/12xx20

=60+1/12xx20

=60+20/12

= 60 + 1.67

= 61.67

Thus, the median of the data is 61.66.

Mean =(sumf_1x_1)/sumf

=3120/50=32.4

Thus, the mean of the data is 62.4.

Mode =l+(f-f1)/(2f-f1-f2)xxh

=60+(12-10)/(24-10-6)xx20

=60+2/8xx20

=60+40/8

= 60 + 5

= 65

Thus, the mode of the data is 65.

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#### APPEARS IN

RD Sharma Class 10 Maths
Chapter 15 Statistics
Exercise 15.5 | Q 15 | Page 47