Ex.14.4 Q3 STATISTICS Solution - NCERT Maths Class 10
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Question
The following table gives production yield per hectare of wheat of \(100\) farms of a village.
Production yield(in kg/ha) | \(50\) – \(55\) | \(55 \)– \(60\) | \(8\) – \(65\) | \(65\) – \(70\) | \(70\) – \(75\) | \(75\) – \(80\) |
Number of farms | \(2\) | \(8\) | \(12\) | \(24\) | \(38\) | \(16\) |
Change the distribution to a more than type distribution and draw ogive.
Text Solution
What is known?
Production yield per hectare of wheat of \(100\) farms of a village.
What is unknown?
The more than type distribution and its ogive.
Reasoning:
The representation of cumulative frequency distribution graphically is known as a cumulative frequency curve or an ogive.
Steps:
The cumulative frequency distribution of more than type can be obtained as follows.
Production Yield (in kg/ha) (Lower class limits) |
Cumulative Frequency |
More than or equal to \(50\) | \(100\) |
More than or equal to \(55\) | \(100 - 2 = 98\) |
More than or equal to \(60\) | \(98 - 8 = 90\) |
More than or equal to \(65\) | \(90 - 12 = 78\) |
More than or equal to \(70\) | \(78 - 24 = 54\) |
More than or equal to \(75\) | \(54 - 38 = 16\) |
Taking the lower-class limits on \(x\)-axis and their respective cumulative frequencies on \(y\)-axis, its ogive can be obtained as follows.