Answer the following question.
1. Calculate the Mean and Median from the following data:
Marks
No of Students
Below 5 29
Below 10
224
Below 15
465
Below 20
582
Below 25
634
Below 30
644
Below 35
650
Below 40
653
Below 45
655
Answers
Answer:
The solution of the question is as follows,
Step-by-step explanation:
To find the mean ,
mean = sum of the values of observation / total number of observation
( ∵ here the observation is the students)
sum of the values of observation =(5.29)+(10.224)+(15.465)+(20.582)+(25.638)+(30.644)+(35.650)+(40.653)+(45.655)
=145+2240+6975+11640+15950+19320+22750+26120+29475
=134615
total number of observations = 29+224+465+582+634+644+650+653+655
=4536
mean = 134615 / 4536
= 29.67
Median ,
here the number of students is 4536 which is even , therefore the median will be the average of () and (+1) th term
i.e) here 2268th and 2269th terms
so our answer here is 10 and 15
median =
= 25 / 2
= 12.5
Answer:
median-12.147,,, mode-11.353