5) 40 students enter for a game of shot-put competition. The
distance thrown in metres) is recorded below.
(6)
Distance 12-13 13-14 14-15 15-16 16-17 17-18 18-19
in m
کی
9
12
9
4
2
1
No of
students
Use a graph paper to draw an ogive for the above
distribution. Use a scale of 2 cm = 1 m on one axis and
2cm = 5 students on the other axis. Hence using your
graph find:
(i) the median
(ii) upper quartile
iii) The inter-quartile range
(iv) The number of students who cover a distance which
is above 1612 m.
Answers
Given : 40 students enter for a game of shot put competition
the distance thrown in metres 12-13 13-14 14-15 15-16 16-17 17 - 18 18-19
no of students 3 9 12 9 4 2 1
To Find : mean
Solution:
distance mid value A=( mid value - 14.5) f A* f
12-13 12.5 -2 3 -6
13-14 13.5 -1 9 -9
14-15 14.5 0 12 0
15-16 15.5 1 9 9
16-17 16.5 2 4 8
17 - 18 17.5 3 2 6
18-19 18.5 4 1 4
40 12
14.5 + 12/40
= 14.5 + 0.3
= 14.8
14.8 m is the mean distance
Median = 14 + 1 * ( 20 - 12) / 12
= 14.67 m
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