Question

in a unit test the marks obtained by 100 students (out of 50) are given below :
marks obtained no of students
20 6
29 28
28 24
33 15
42 2
38 4
43 1
25 20
calcute the median marks

Answer 1

I hope my answer helps u

Answer 2

The median marks obtained by the 100 students is 31.

Median is a statistical measure that represents the middle value in a set of data.

It is the value that separates the data set into two equal halves, with 50% of the data points falling below it and 50% of the data points falling above it.

To find the median of a set of data, we need to first arrange the data in either ascending or descending order.

If the number of data points is odd, the median is the middle value. If the number of data points is even, the median is the average of the two middle values.

The median is a useful measure of central tendency, especially when the data set contains outliers or extreme values that can skew the mean.

It gives a more robust estimate of the typical or central value of a set of data.

First, we need to arrange the marks in ascending order:

20, 25, 28, 28, 29, 29, 29, 29, 33, 33, 33, 33, 33, 38, 38, 38, 38, 42, 42, 43

The total number of students is 100, which is an even number, so we need to take the average of the two middle values, which are 29 and 33.

Median = (29 + 33) / 2 = 31

Therefore, the median marks obtained by the 100 students is 31.

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