Question

calculate the medium of 1, 21, 13, 24, 20, 17

Answer 1

Step-by-step explanation:

(i) 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:

3.5

Step-by-step explanation:

Step 1: Arrange the given data set in the ascending order.

           1, 13, 17, 20, 21, 24

Step 2: Here n is the total numbers in the given data set.

            n = 6

Step 3: Just apply the variable value n in the formula to get the median, .i.e.

             $Median = \frac{(n+1)}{2}$

                            $=\frac{6+1}{2}$

                            $=\frac{7}{2}$

                            $= 3.5$