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The Following Table Gives Production Yield per Hectare of Wheat of 100 Farms of a Village: Draw ‘Less Than’ Ogive and ‘More Than’ Ogive. - Mathematics

The following table gives production yield per hectare of wheat of 100 farms of a village:

Production yield in kg per hectare: 50 - 55 55 - 60 60 - 65 65 - 70 70 - 75 75 - 80
Number of farms: 2 8 12 24 38 16

Draw ‘less than’ ogive and ‘more than’ ogive.

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Solution

Prepare a table for less than type.
 


Production
yield

No. of
farms
Production
yield
(less than)

 

Cumulative
frequency

Suitable
points
50−55 2 55 2 (55, 2)
55−60 8 60 10 (60, 10)
60−65 12 65 22 (65, 22)
65−70 24 70 46 (70, 46)
70−75 38 75 84 (75, 84)
75−80 16 80 100 (80, 100)


Now, plot the less than ogive using suitable points.

Again, prepare a table for more than type.
 

Production
yield
No. of
farms
Production
yield
(more than)
Cumulative
frequency
Suitable
points
50-55 2 50 100 (50, 100)
55-60 8 55 98 (55, 98)
60-65 12 60 90 (60, 90)
65-70 24 65 78 (65, 78)
70-75 38 70 54 (70, 54)
75-80 16 75 16 (75, 16)


Now, plot the more than ogive with suitable points.

Concept: Ogives (Cumulative Frequency Graphs)
  Is there an error in this question or solution?
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APPEARS IN

RD Sharma Class 10 Maths
Chapter 15 Statistics
Exercise 15.6 | Q 6 | Page 63
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