Question

2.
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 more
household with monthly income of 31500 is added, what will the median income be?​

Answer 1

Median = Middle number

i)1000, 1000, 1200, 1400, 1500, 1600, 10000

Median = 1400

ii) 1000, 1000, 1200, 1400, 1500, 1600, 10000, 31500

Median = $\frac{1400+ 1500}{2}$ = 1450

Median = 1450

Answer 2

Answer:

i) 1400

ii)1450

Step-by-step explanation:

i) To find median of data we have to write them in ascending or descending order:

Ascending order: 1000, 1000, 1200, 1400, 1500, 1600, 10000.

Hence the median would be central value if data is odd :

1400.

ii) If another income of 31500 is added, the data in ascending order:

1000, 1000, 1200, 1400, 1500, 1600, 10000, 31500.

The median will be average of two central values, if data is even.

So the median would be,

(1400+1500)/2

= 1450.

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