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.

The marks of 15 students in mathematics test are 41, 39, 48, 52, 46, 62, 54, 40, 96, 52, 98, 40, 42, 52, 60.

We know that,

Mean of data
= \(\frac{Sum of all observations}{Total number of observations}\)

\(\therefore \) Mean score
= \(\frac{41 + 39 + 48 + 52 + 46 + 62 + 54 + 40 + 96 + 52 + 40 + 40 + 42 + 60}{10} \)
=\( \frac{822}{15}\)
= 54.8 goals

Arranging the Scores obtained by 15 students in an ascending order, we get,

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

As the number Of observations is 15 which is Odd, therefore, the median Of data Will be \(\frac{15 + 1}{2} = 8th\) observation whether the data is arranged in an ascending or descending order.

Therefore, median score of data = 52

Mode of data is observation with the maximum frequency in data.

Therefore mode of this data is 52 having the highest frequency in data is 3.