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ICSE Class X Math 2016 Solved Paper

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The table shows the distribution of the scores obtained by 160 shooters in a shooting competition. Use a graph sheet and draw an ogive for the distribution.
(Take 2‌cm=10 scores on the X axis and 2 cm=20 shooters on the Y-axis).
 Scores  No. of shooters
 0-10  9
 10-20  13
 20-30  20
 30-40  26
 40-50  30
 50-60  22
 60-70  15
 70-80  10
 80-90  8
 90-100  7

Use your graph to estimate the following :
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Question : 30
Total: 57
The median.
Solution:  
 Scores  No. of shooters  c.f.
 0-10  9  9
 10-20  13  22
 20-30  20  42
 30-40  26  68
 40-50  30  98
 50-60  22  120
 60-70  15  135
 70-80  10  145
 80-90  8  153
 90-100  7  160


Since, no. of terms, n=160 which is even.
∴‌‌‌ Median ‌‌=(‌
n
2
)‌th ‌‌ term ‌
‌=(‌
160
2
)‌th ‌‌ term ‌
‌=80‌ th term ‌
From the graph, median =43.5
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