Find the mean and median of this data.

In a Science test given to a group of students, the marks scored by them (out of 100)are 41, 39, 52, 48, 54, 62, 46, 52, 40, 96, 42, 40, 98, 60, 52. Find the mean and median of this data.

Solution:

On arranging the marks obtained by the students, we have
39, 40, 40, 41, 42, 46, 48, 52, 52, 52, 54, 60, 62, 96, 98
Here, n = 15 which is odd
∴ Mean (x̄)
Ʃ xi/n = (39 + 40 + 40 + 41 + 42 + 46 + 48 + 52 + 52 + 52 + 54 + 60 + 62 + 96 + 98)/15
= 822/15 = 54.8
And,
Median = (15 + 1)/2th term
= 16/2 = 8th term i.e. 52
Hence, for the given data mean = 54.8 and median = 52.

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