Question

Find the median 15,28,72,56,44,32,31,43 and 51. If 31 is replaced by 46. Calculate the new median

Answer 1

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Median of first is 43 and if we change 31 by 46 then median osnalso equal to 43.

Answer 2

Answer:---------

given data :- 15, 28, 72, 56, 44, 32, 31, 43, 51

n = 9 (odd)

formula to find the median is = (n + 1/2)th term [this formula is used when n is odd)

first of all, we have to arrange the data in ascending or descending order.

I'm arranging in ascending order..

= 15, 28, 31, 32, 43, 44, 51, 56, 72

therefore it's median = (9 + 1/2)th term

= (10/2)th term

= 5th term

= 43

hence, it's median is 43.

now, if 31 is replaced by 46.

first let's arrange the data again.

= 15, 28, 32, 43, 44, 46, 51, 56, 72 (removed 31 and replaced by 46)

since n = 9

the median will be the 5th term once again.

this time the 5th term is 44.

so the median is 44.

T!–!ANKS!!