Question

The median of the data 13, 15, 16, 17, 19,
20 is
(A) 3012
(B)
31/2
(C)
33/2
(D)
35/2​

Answer 1

Answer:

✬ Median = 16.5 ✬

Step-by-step explanation:

Given:

Data is 13 , 15 , 16 , 17 , 19 , 20

To Find:

What is the median of data ?

Solution: The term which is in the center of the data (after arranging data in ascending order) is the median of data.

If number of terms in data is odd then the middle term of data will be its median and if number of terms is even then , Median will be the average of middle two numbers.

Now, Arranging the given data in ascending order

➼ Order will be : 13, 15, 16, 17, 19, 20

This data has two middle terms third (16) and fourth (17)

∴ Median = Average of these two terms/2

\implies{\rm }⟹ Median = (16 + 17/2)

\implies{\rm }⟹ Median = 33/2

\implies{\rm }⟹ Median = 16.5

Hence, the median of given data will be 16.5

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Answer 2

Explanation:

Given observations of the given data :

13,15,16,17,19,20

No. of observations=6

it is an even number

If the no. of observations is n ,even then the median of the data is the average of (n/2) th and (n/2)+1 th observations

n/2 observation =6/2=3 rd observation =16

(n/2)+1 th observation =17

Average of 16 and 17=(16+17)/2=33/2

Median =33/2