Home
Class 10
MATHS
Weekly income of 600 families is tabulte...

Weekly income of 600 families is tabulted below.

Compute the median income.

Text Solution

Verified by Experts

First we construct a cumulative frequency table.

It is given that, n=600
`therefore (n)/(2)=(600)/(2)=300`
Since, cumulative frequency 440 lies in the interval 1000-2000.
Here, (lower meidan class) l=1000, f=190, cf=250(class width) j=1000
and total observation n=600
`"Median"=l({(n)/(2)-cf})/(f)xxh`
`=1000+(300-250)/(190)xx1000`
`=1000+(50)/(190)xx1000`
`=1000+(5000)/(19)`
=1000+263.15=1263.15
Hence, the median income is 1263.15.
Promotional Banner

Topper's Solved these Questions

  • STATISTICS AND PROBABILITY

    NCERT EXEMPLAR|Exercise VERY SHORT ANSWERS QUESTIONS|2 Videos

  • STATISTICS AND PROBABILITY

    NCERT EXEMPLAR|Exercise LONG ASWERS QUESTIONS|5 Videos

  • REAL NUMBERS

    NCERT EXEMPLAR|Exercise Real Numbers|39 Videos

  • SURFACE AREAS AND VOLUMES

    NCERT EXEMPLAR|Exercise Surface Areas And Volumes|62 Videos

Similar Questions

Explore conceptually related problems

The monthly income of 100 families are given as below Calculate the modal income.

Compute Domestic Income :

Mean value of the weekly income of 40 families is 265. But in the calculation, income of one family was read as 150 instead of 115. Find the ''Corrected'' mean.

The following table gives the distribution of income of 100 families in a village.Calculate the standard deviation: Income Rs.0-10001000-20002000-30003000-40004000-50005000-6000 No.of Families 182630 12104

Average income of 50 families is Rs. 3,000. Of these average income of 12 families is Rs. 1,800. Find out the average income of the remaining families.

Find out mean deviation of the monthly income of the five families given below, using arithmetic mean of the data: 852,635,792,836,750

A survey of monthly incomes of 100 families living in a village was conducted. Calculate the mean monthly income of the families on the basis of the following information about them.

Calculate the men deviation of the following income groups of five and seven members from their medians: I income in Rs.II Income in Rs.400042004400460048003800400042004400460048005800