The marks obtained by 30 students in a class assessment of 5 martks is given below : Marks 0 1 2 3 4 5 No. of Students 1 3 6 10 5 5 Calculate the mean, median and mode of the above distribution.

ICSE Class X Math 2015 Solved Paper - Question 11

Question : 11 of 52

Marks: +1, -0

The marks obtained by 30 students in a class assessment of 5 martks is given below :

Marks	0	1	2	3	4	5
No. of Students	1	3	6	10	5	5

Calculate the mean, median and mode of the above distribution.

Solution:

\;\text " Mean "\;=\;{Σ f x}/{Σ f}=\;{90}/{30}=3

Here,

n=30

which is even.

\;\text " Median "\;\;=\;{ ({n}/{2}) ^{ {\th}} \;\text " term "\;+ ({n}/{2}+1) ^{ {\th}} \;\text " term "\;}/{2}

\;=\;{ ({30}/{2}) ^{ {\th}} \;\text " term "\;+ ({30}/{2}+1) ^{ {\th}} \;\text " term "\;}/{2}

\;=\;{15^{\;\text "th "\;} \;\text " term "\;+16^{\;\text "th "\;} \;\text " term "\;}/{2}

\;=\;{3+3}/{2}=3

\;\text " Mode "\;=3 \;\text " marks "\;

(as highest frequency is 10)

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