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Weekly income of 600 families is tabulated below
Weekly income (in Rs)Number of families
0 - 1000250
1000 - 2000 190
2000 - 3000 100
3000 - 4000 40
4000 - 5000 15
5000 - 6000 5
Compute the median income

Solution:

Given, the weekly income of 600 families.

We have to find the median income.

Median = l + [(n/2 - cf)/f]h

Where, l is lower limit of the median class

n is the number of observations

h is the class size

cf is the cumulative frequency of the class preceding the median class

f is the frequency of the median class

From the table,

n/2 = 600/2 = 300

The observation lies in the class 1000 - 2000

Lower limit of the class, l = 1000

Class size, h = 1000

Cumulative frequency of the class preceding the median class, cf = 250

Frequency of the median class, f = 190

Median = 1000 + [(300 - 250)/190](1000)

= 1000 + [(50/190)(1000)]

= 1000 + [5(1000)/19]

= 1000 + 263.15

= 1263.15

Therefore, the median is 1263.15

✦ Try This: Weekly income of 600 families is tabulated below :

Compute the median income.

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 14

NCERT Exemplar Class 10 Maths Exercise 13.3 Problem 15

Weekly income of 600 families is tabulated below: Weekly income (in Rs) Number of families 0 - 1000 250 1000 - 2000 190 2000 - 3000 100 3000 - 4000 40 4000 - 5000 15 5000 - 6000 5. Compute the median income

Summary:

The median income of 600 families is 1263.15

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