EX.14.4(3) The following table gives production yield per hectare of wheat of 100 farms of a village.
Production yield (in Kg/Ha) | 50 - 55 | 55 - 60 | 60 - 65 | 65 - 70 | 70 - 75 | 75 - 80 |
Numbers of Farms | 2 | 8 | 12 | 24 | 38 | 16 |
Change the distribution to a more than type distribution, and draw its ogive.
Soln.
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Cumulative Frequency
Points to be plotted
50 - 55
55 - 60
60 - 65
65 - 70
70 - 75
2
8
12
24
38
100
98
90
78
54
(50,100)
(55,98)
(60,90)
(65,78)
(70,54)
75 - 80
16
16
(75,16)
Sol:
more than type distribution
draw its ogive
Production yield
(in Kg/Ha)
Production yield (in Kg/Ha)
Numbers of Farms
Numbers of Farms
We will prepare more than type cumulative frequency distribution table.
First column will be continuous classes in this sum it is production yield(in Kg/Ha)
Second column will be frequency. In this sum it is number of farms
Third column will be more than type cumulative frequency. In this we add the frequency from Down to Up
Fourth column will be points to be plotted lower limit,cumulative frequency
Exercise 14.4 – Q.3
x'
x
y'
y
50
55
60
65
70
75
80
Production yield (in Kg/ha)
No. of farms
0
10
20
30
40
50
60
70
80
90
100
110
Scale : X-axis, 2cm =5 Kg/ha
Y-axis, 1cm = 10 farms
(50,100)
(55,98)
(60,90)
(65,78)
(70,54)
(75,16)
Now let us plot the points on a graph
5
5
5
5
5
5
50
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Points to be plotted
(50,100)
(55,98)
(60,90)
(65,78)
(70,54)
(75,16)
Leaving 2 cm from bottom we draw horizontal X-axis and leaving 2cm from left we draw vertical Y-axis
On X-axis if classes are not starting from ‘0’ leaving 2cm from X-axis we start putting limits .
Looking at the biggest Y-co ordinate we select the scale on Y - axis
We plot the points one after the other and write the co-ordinate
Join all points with smooth curve
The difference between origin and lower limit of first class is not same as the width of classes hence we put a Krink mark
Exercise 14.4 – Q.3