Question

Find the median of the data : 24,12,14,19,7

(a)7
(b)14
(c)24
(d)12​

Answer 1

Answer:

Let us arrange the numbers in ascending order as below.

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

Number of items n=7

Median =(

2

n+1

)

th

observation (∵n is odd)

=(

2

7+1

)

th

observation

=4

th

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 (

2

n

)

th

and (

2

n

+1)

th

observations. (∵n is even)

(

2

n

)

th

observation =(

2

10

)

th

observation =5

th

observation =13

(

2

n

+1)

th

observation =6

th

observation =15.

∴ Median =

2

13+15

=14

Answer 2

Answer:

b

Step-by-step explanation:

If we reorganized the data then we get,

7,12,14,19,24.

In this case, n = 5, which is odd.

So the median = (n+1)/2 th position

or, median = (5+1)/2 = 6/2 = 3rd position.

So, the median will be the 3rd position of the data. Here, in the 3rd position the number is 14.

So, the median is 14.