Question

calculate the median for the following data:marks: 20,9,25,50,40,80number of students 6,4,16,7,8,2​

Answer 1

Answer:

Median =25.

Step-by-step explanation:

Let us arrange marks in ascending order.

Marks f cf

9 4 4

20 6 10

25 16 26

40 8 34

50 7 41

80 2 43

n=43

Here, n=43, which is odd

Position of median =(

2

n+1

)

th

observation.

=(

2

43+1

)

th

observation.

=22

nd

observation.

The above table shows that all items from 11

th

to 26

th

have their value 25. So, the value of 22

nd

item is 25.

∴ Median =25.