Question

6,7,9,8,5 find median (n+1/2) = (5+1/2) = 6/2 = 32
how did 32 came?explain​

Answer 1

Answer:

(i) Let us arrange the numbers in ascending order as below.

7,14,15,21,22,23,24

Number of items n=7

Median =(2n+1)th observation

(∵n is odd)=(27+1)th observation =4th observation =21

(ii) Let us arrange the numbers in ascending order

7,9,10,12,13,15,17,21,32,42.

Number of items n=10

Median is the mean of (2n)th and (2n+1)th observations.

(∵n is even)

(2n)th observation =(210)th 

observation =5th observation =13

(2n+1)th observation =6th observation =15.

∴ Median =213+15=14