Test Index

ICSE Class X Math 2013 Solved Paper

Show Para  Hide Para 
The mark obtained by 120 students in a test are given below :
 Marks  No. of Students
 0-10  5
 10-20  9
 20-30  16
 30-40  22
 40-50  26
 50-60  18
 60-70  11
 70-80  6
 80-90  4
 90-100  3

Draw an ogive for the given distribution on a graph sheet.
Using suitable scale for ogive to estimate the following :
© examsnet.com
Question : 41
Total: 46
The median.
Solution:  
 Marks  No. of Students (f)   CumulativeFrequency
 0-10  5  5
 10-20  9   14
 20-30  16   30
 30-40  22  52
 40-50  26  78
 50-60  18   96
 60-70  11   107
 70-80  6   113
 80-90  4  117
 90-100  3   120
   n=120  

On the graph paper, we plot the following points :
‌(10,5),(20,14),(30,30),(40,52),(50,78)‌, ‌ ‌(60,96),(70,107),(80,113),(90,117),(100‌, ‌ ‌120).

‌ Median ‌=‌(‌
n
2
)‌th ‌‌ term ‌
‌[∵n=120,‌ even ‌]
=‌
120
2
=60‌th ‌‌ term ‌
From the graph 60th term =42
© examsnet.com
Go to Question:
Prev Question
Next Question