ICSE Class X Math 2015 Solved Paper

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Question : 11
Total: 52
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:  
 x  f  fx  cf
 0  1  0  1
 1  3  3  4
 2  6  12  10
 3  10  30  20
 4  5  20  25
 5  5  25  30
   Σf=30  Σfx=90  

Mean =
Σfx
Σf
=
90
30
=3

Here, n=30 which is even.
Median =
(
n
2
)
th
term
+(
n
2
+1
)
th
term
2

=
(
30
2
)
th
term
+(
30
2
+1
)
th
term
2

=
15th term +16th term
2

=
3+3
2
=3

Mode =3 marks
(as highest frequency is 10)
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