A boy scored the following marks in various class tests during a term each test being marked out of 20: 15, 17, 16, 7, 10, 12, 14, 16, 19, 12, 16
(i) What are his modal marks ?
(ii) What are his median marks ?
(iii) What are his mean marks ?
A boy scored the following marks in various class tests during a term each test being marked out of 20: 15, 17, 16, 7, 10, 12, 14, 16, 19, 12, 16
(i) What are his modal marks ?
(ii) What are his median marks ?
(iii) What are his mean marks ?

Solution:

(i)We arrange given marks in ascending order

7, 10, 12, 12, 14, 15, 16, 16, 16, 17, 19

16 appears maximum number of times.

Hence his modal mark is 16.

(ii)Here number of observations, n = 11 which is odd.

So Median = ((n+1)/2)th term

= (11+1)/2

= 12/2

= 6th term

= 15

Hence the median is 15.

(iii) Mean = Ʃxi/n

= 7+ 10+12+12+14+ 15+16+16+16+ 17+ 19

= 154/11

= 14

Hence the mean is 14.