Question

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
What are his modal marks?

What are his median marks?

What are his total marks?

What are his mean marks?

Answer 1

Let us first arrange the data in ascending order...

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

Here, N=11

We know that,

Median = (N+1)/2

             = 11+1/2

             = 12/2

             = 6

6th term is the median that is 15.

Now, Mode = Maximum frequency which occurs the most

Mode = 16

Also, Mean = Sum of all observation / Total number of observations

                   = 154 /11

                   = 14

Total marks = 154