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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
   Î£f=30  Î£fx=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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