Question

find the median. 15, 28 , 72, 56, 44, 32, 31, 43 and 51. If 32 is replaced by 23,find the new median​

Answer 1

Answer:

43

Step-by-step explanation:

1.

Step 1: Arrange in Ascending order

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

Since there are 9 numbers, median =

$= \frac{n + 1}{2}$

$= \frac{9 + 1}{2}$

$= \frac{10}{2}$

$= 5$

Hence, the median is 5th term, i.e. 43 is the answer.

2.

Step 1: Again arrange in ascending order.

= 15,23,28,31,43,44,51,56,72

Again, there are 9 numbers so median =

$= \frac{n + 1}{2}$

$= \frac{9 + 1}{2}$

$= \frac{10}{2}$

$= 5$

Hence, the 5th term, i.e. 43 is the answer.

Answer 2

Answer:

44

Step-by-step explanation:

If 32 is not replaced the median would be 44

If it is replaced 23 also the new median will be 44 only