Question

In a mathematics test given to 15 students, the following marks (out of 100) are recorded:41, 39, 48, 52, 46, 62, 54, 40, 96, 52, 98, 40, 42, 52, 60 Find the mean, median and mode of this data

Answer 1

First, we have to arrange data in ascending order.
After arranging our data becomes, `39,40,40,41,42,46,48,52,52,52,54,60,62,96,98`
`Mean = `Sum of all observations`/`Total number of observations
`Mean = (39+40+40+41+42+46+48+52+52+52+54+60+62+96+98)/15 = 822/15 = 54.8`
Median can be obtained by finding the middle term.
Here, Middle term is `8^(th)` term.
So, `Median = 52`
In the given data frequency of `52` is maximum as it has appeared 3 times in the data. So, `Mode = 52`