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In the given data if 30 is replaced by 100 then find the difference of the two medians.80, 90, 40, 30, 20, 10, 70, 60, 50
Question

In the given data if 30 is replaced by 100 then find the difference of the two medians.

80, 90, 40, 30, 20, 10, 70, 60, 50

A.

40

B.

10

C.

60

D.

50

Correct option is B

Given:

Original data:

80, 90, 40, 30, 20, 10, 70, 60, 50

Modified data: Replace 30 with 100

Formula Used:

Median = ​ Middle term of the sorted data (for odd } n)​

Solution:

Original Data :

10, 20, 30, 40, 50, 60, 70, 80, 90

Median = 5th term = 50

Modified Data (replace 30 with 100):

10, 20, 40, 50, 60, 70, 80, 90, 100

Median = 5th term = 60

Difference = |60 - 50| = 10

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