The monthly income (in rupees) of 7 households in a village are 1200, 1500, 1400, 1000,1000, 1600, 10000.
(i) Find the median income of the house holds.
(ii) If one morehousehold with monthly income of 1500 is added, what will the median income be?
Answers
Step-by-step explanation:
1)mean =1200+1500+1400+1000+1000+1600+10000/7
=17700/7=2534
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Answer:
Arrange income in ascending order
1000,1000,1200,1400,1400,1500,1600,10000
Here n=7
Median =(2n+1)th
=(27+1)th
=4th
=1400
(ii) If one more household with monthly salary 1500 is added
then, arranging the income in ascending order
1000,1000,1200,1400,1500,1500,1600,10000
Here n=8
Meadian = mean of (n/2)th and (n/2+1)th observations
=mean of (8/2)th and (8/2+1)th observation
=mean of (4)th and (5)th observations
= 21400+1500
=1450
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Step-by-step explanation: