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 : 31
Total: 57
The interquartile range. .
Solution:  
Lower quartile
Q1=(
n
4
)
th
term

=(
160
4
)
th
term

=40th term =28.5
Upper quartile
Q3=(
3n
4
)
th
term

=(
3×160
4
)
th
term

=120th term =60
Inter quartile range
=Q3Q1
=6028.5=31.5
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