Find the median of given observation 5, 6, 11, 23, 4, 8, 20, 21. 12. 7

1.	Find the median of given observation 5, 6, 11, 23, 4, 8, 20, 21. 12. 73. 84. 4
Answer» Correct Answer - Option 2 : 7 Concept: Median: It is the middle value in the given set, while the set is either in increasing or decreasing order. If the number of observation (n) is odd then median is (n+1)/2^th term. If the number of observation (n) is even then the median is average of n^th and (n+1)^th term. Calculation: Given observation are 5, 6, 11, 23, 4, 8, 20, 2 Increasing order of given data: 2, 4, 5, 6, 8, 11, 20, 23. The number of observation is even. (n = 8) So, the median is theaverage of n^th and (n+1)^th term or average of 4th and 5th term Median \(= \frac{6+8}{2}\) = 7

Find the median of given observation 5, 6, 11, 23, 4, 8, 20, 21. 12. 73. 84. 4

Answer» Correct Answer - Option 2 : 7

Concept:

Median: It is the middle value in the given set, while the set is either in increasing or decreasing order.

If the number of observation (n) is odd then median is (n+1)/2^th term.

If the number of observation (n) is even then the median is average of n^th and (n+1)^th term.

Calculation:

Given observation are 5, 6, 11, 23, 4, 8, 20, 2

Increasing order of given data: 2, 4, 5, 6, 8, 11, 20, 23.

The number of observation is even. (n = 8)

So, the median is theaverage of n^th and (n+1)^th term or average of 4th and 5th term

Median \(= \frac{6+8}{2}\)

= 7