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Question

The following distribution gives daily income of 50 workers of a factory:
Daily income(in ₹): 200 – 220 220 – 240 240 – 260 260 – 280 280 – 300
Number of workers: 12 14 8 6 10

Convert the distribution above to a 'less than type' cumulative frequency distribution and draw its ogive.

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Solution


The cumulative frequency table of 'Less than type' is given below.
Daily income(in ₹) Cumulative Frequency
Less than 220 12
Less than 240 26
Less than 260 34
Less than 280 40
Less than 300 50


Mark the upper class class limits along the x-axis and the cumulative frequencies along y-axis.

Plot the points (220, 12), (240, 26), (260, 34), (280, 40) and (300, 50). Join the points to obtain the 'Less than type' ogive.


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