# 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.

#### Solution

Prepare a table for less than type.

 Productionyield No. offarms Productionyield(less than) Cumulativefrequency Suitablepoints 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.

 Productionyield No. offarms Productionyield(more than) Cumulativefrequency Suitablepoints 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)
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#### APPEARS IN

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