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Find median of 19, 29, 59, 48, 35, 37, 30, 32, 51. If 59 is replaced by 52 what will be the new median?

SUPER URGENT!!!!

2
by Yasmin

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SUPER URGENT!!!!

by Yasmin

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median is the middle number

so, median = 35

if 59 is replaced with 52

then the order is = 19,29,30,32,35,37,48,51,52

new median = 35

Median={(n+1)/2}th observation when no.of terms is odd.

Median=1/2{(n/2)th observation+(n/2+1)th observation} where n is even.

In your case the numbers are 19, 29, 59, 48, 35, 37, 30, 32, 51

There are 9 numbers which means n is odd.

We will have to arrange the numbers in ascending order as:

19, 29, 30, 32, 35, 37, 48, 51, 59

So, we will use the first formula.

Median={(n+1)/2}={(9+1)/2}=10/2=5th observation which is 35.

So, the median is 35.

After replacing 59 with 52, the n will be 9 only so we will use the same formula.

Median={(n+1)/2}th observation which again comes as the 5th observation which is 35 so in the new case also the median is 35.