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  • Weekly income of 600 families is tabulated below : Weekly income (in Rs) Number of families 0-10001000-20002000-30003000-40004000-50005000-6000 25019010040155 Total 600Compute the median income.

Weekly income of 600 families is tabulated below : 

Weekly income (in Rs) Number of families
0-1000
1000-2000
2000-3000
3000-4000
4000-5000
5000-6000		 250
190
100
40
15
5
Total 600

Compute the median income.

Answers (1)

Answer.     [1263.15]
Solution.   n = 600
\frac{n}{2}= \frac{600}{2}= 300
l\iota= 1000, l = 1000, cf = 250, f = 190
median =  \iota +\left ( \frac{\frac{n}{2}-cf}{f} \right )\times h
= 1000+\frac{\left ( 300-250 \right )}{190}\times 1000
= 1000+\frac{50}{190}\times 1000
= 1000+\frac{5000}{19}
= \frac{19000+5000}{19}= \frac{24000}{19}= 1263\cdot 15
Median = 1263.15

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infoexpert27

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