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Q.

The following distribution gives the daily income of 50 workers in a factory. Convert the distribution above to a less than type cumulative frequency distribution and draw its ogive.

Daily income in Rupees100-120120-140140-160160-180180-200
Number of workers12148610

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Detailed Solution

Converting the given distribution table to a less than type cumulative frequency distribution, and we get

Daily IncomeFrequencyCumulative Frequency
Less than 1201212
Less than 1401426
Less than 160834
Less than 180640
Less than 2001050

From the table plot the points corresponding to the ordered pairs such as (120, 12), (140, 26), (160, 34), (180, 40) and (200, 50) on graph paper and the plotted points are joined to get a smooth curve and the obtained curve is known as less than type ogive curve

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