Use graph paper for this question.

The table given below shows the monthly wages of some factory workers.

(i) Using the table, calculate the cumalative frequencies of workers.

(ii) Draw a cumulative frequency curve.

Use 2 cm = Rs. 500, starting the origin at Rs. 6500 on x-axis, and 2 cm = 10 workers on thr y -axis.

$\begin{matrix} Wages (in Rs.) & 6500 - 7000 & 7000 - 7500 & 7500 - 8000 & 8000 - 8500 & 8500 - 9000 & 9000 - 9500 & 9500 - 10000 No. of workers & 10 & 18 & 22 & 25 & 17 & 10 & 8 \end{matrix}$

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Solution

Total = 110

Now plot the points (7000,10), (7500,28), (8000,50), (8500,75), (9000,92), (95

00,102) and

(10000,110) and join them to obtain an ogive.

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Similar questions

The following table shows the distribution of the heights of a group of factory workers :

$\begin{matrix} Ht. (cm): & 150 - 155 & 155 - 160 & 160 - 165 & 165 - 170 & 170 - 175 & 175 - 180 & 180 - 185 No. of workers & 6 & 12 & 18 & 20 & 13 & 8 & 6 \end{matrix}$

(i) Determine the cumulative frequencies.

(ii) Draw the 'less than' cumulative frequency curve on graph paper. Use 2 cm = 5 cm height on one axis and 2 cm = 10workers on the other.

Q. The following table shows the daily wages of workers in a factory:

\begin{matrix} Daily eages (in ₹) & 0 - 100 & 100 - 200 & 200 - 300 & 300 - 400 & 400 - 500 Number of workers & 40 & 32 & 48 & 22 & 8 \end{matrix}

Find the median daily wage income of the workers.

Question 2
Consider the following distribution of daily wages of 50 worker of a factory.

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

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

Q. Question 1
The following distribution gives the daily income of 50 workers of a factory.

\begin{matrix} D a i l y i n c o m e (i n R s) & 100 - 120 & 120 - 140 & 140 - 160 & 160 - 180 & 180 - 200 N u m b e r o f w o r k e r s & 12 & 14 & 8 & 6 & 10 \end{matrix}

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

Using a graph paper, draw an ogive for the following distribution, which shows daily wages of 160 workers.

Using the graph determine:

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Total = 110 Now plot the points (7000,10), (7500,28), (8000,50), (8500,75), (9000,92), (95 00,102) and (10000,110) and join them to obtain an ogive.

Total = 110

Now plot the points (7000,10), (7500,28), (8000,50), (8500,75), (9000,92), (95

00,102) and

(10000,110) and join them to obtain an ogive.