In a mathematics test given to 15 students

Asked by admin @ 29/08/2021 in Math viewed by 302 People

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.

Answered by admin @ 29/08/2021

Hello,

Solution:

1) Mean = sum of all observation/ Total number of observation

Total Students = 15

Value of observation= 41, 39, 48, 52, 46, 62, 54, 40, 96, 52, 98, 40, 42, 52, 60

Mean =
$\frac{41 + 39 + 48 +52 + 46 + 62 + 54 + 40 + 96 + 52 + 98 + 40 + 42 + 52 + 60}{15} \\ \\ = \frac{822}{15} \\ \\ = 54.8$

Median:

1) Arrange data in ascending order

39,40,40,41,42,46,48,52,52,52,54,60,62,96,98

2) Total numbers of observation= 15

Odd: (n+1)/2

=(15+1)/2 = 8 th element is median

Median = 52

Mode:

1) Arrange data in ascending order

39,40,40,41,42,46,48,52,52,52,54,60,62,96,98

2) Count the frequency of each observation,the observation having most frequency is the mode

So, 52 appears 3 time,maximum time

Mode = 52

Hope it helps you.

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