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Cumulative Frequency

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Question

The following distribution gives the daily income of 50 workers of a factory.
Daily income (in Rs.)
No. of workers
100-120
12
120-140
14
140-160
8
160-180
6
180-200
10
Convert the distribution above to a less than type cumulative frequency distribution and draw its ogive

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Solution

$O n t h e g r a p h, w e w i l l p l o t t h e p o i n t s (120, 12), (140, 26), (160, 34), (180, 40) & (200, 50) .$

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Q. The following distribution gives the daily income of 50 workers of a factory:

Daily income in (Rs):	100−120	120−140	140−160	160−180	180−200
Number of workers:	12	14	8	6	10

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

Q. Consider the following distribution of daily wages of 50 workers of a factory.

Daily wages (in Rs.)	Number of workers
100-120	12
120-140	14
140-160	8
160-180	6
180-200	10

Find the mean daily wages of the workers of the factory by using an appropriate method.

Q. The mean of the following distribution is 18. Find the frequency f of the class 19-21.

\begin{matrix} Class & 11 - 13 & 13 - 15 & 15 - 17 & 17 - 19 & 19 - 21 & 21 - 23 & 23 - 25 Frequency & 3 & 6 & 9 & 13 & f & 5 & 4 \end{matrix}

OR

The following distribution gives the daily income of 50 workers of a factory:

\begin{matrix} Daily Income (in Rs) & 100 - 120 & 120 - 140 & 140 - 160 & 160 - 180 & 180 - 200 Number of workers & 12 & 14 & 8 & 6 & 10 \end{matrix}

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

Q. The following distribution give the daily income of

50

workers of a factory

Daily income (in')	200-250	250-300	300-350	350-400	400-450	450-500
Number of workers	10	5	11	8	6	10

Draw the ogive of a "less than type' cumulative frequency distribution and hence obtain the median daily income.

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