Question

The monthly income (in rupees) of 7 households in a village are 1200, 1500, 1400, 1000, 1000, 1600, 10000,If one more household with monthly income of Rs.1500 is added, what will the median income be?

Answer 1

how to find median :
1. Put all the numbers in numerical order.
2. If there is an odd number of results, the median is the middle number.
3. If there is an even number of results, the median will be the mean of the two central numbers.

given, 1200, 1500, 1400, 1000, 1000,1600, 10000.now one more household with monthly income of Rs. 1500.
then there are 8 results and in numerical order : 1000, 1000, 1200, 1400, 1500,1500, 1600, 10000.
here number of results is 8(even)
so, median = (1400+ 1500)/2 = 1450

hence, median = 1450

Answer 2

Dear student,

Answer: 1450 Rs

Solution:

1) Arrange the given result in ascending order, including 1500.

1000, 1000, 1200, 1400, 1500,1500,1600,10000

2) n= 8

so elements, $\frac{n}{2} and \frac{n}{2} +1$

= 8/2 , 8/2+1

= 4th and 5th element

MEDIAN = (4th+5th)/2

= (1400+1500)/2

=2900/2

= 1450 Rs