Draw, in the same diagram , a histogram and a frequency polygon to represent the following data which shows the monthly cost of living index of a city in a period of 2 years:

$\begin{matrix} Cost of living index & 440 - 460 & 460 - 480 & 480 - 500 & 500 - 520 & 520 - 540 & 540 - 560 & 560 - 580 & 580 - 600 No. of months & 2 & 4 & 3 & 5 & 3 & 2 & 1 & 4 \end{matrix}$

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$\begin{matrix} Cost of living index & 440 - 460 & 460 - 480 & 480 - 500 & 500 - 520 & 520 - 540 & 540 - 560 & 560 - 580 & 580 - 600 No. of months & 2 & 4 & 3 & 5 & 3 & 2 & 1 & 4 \end{matrix}$

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Q. Draw, in the same diagram, a histogram and a frequency polygon to represent the following data which shows the monthly cost of living index of a city in a period of 2 years:

Cost of living index:	440-460	460-480	480-500	500-520	520-540	540-560	560-580	580-600
No. of months:	2	4	3	5	3	2	1	4

The following is the distribution of total household expenditure (in Rs.) of manul worker in a city:

$\begin{matrix} Expenditure (in Rs) & 100 - 150 & 150 - 200 & 200 - 250 & 250 - 300 & 300 - 350 & 350 - 400 & 400 - 450 & 150 - 500 No. of manual workers & 25 & 40 & 33 & 28 & 30 & 22 & 16 & 8 \end{matrix}$

Draw a histogram and a frequency polygon represinting the above data.

Draw a histogram for the following data:

$\begin{matrix} Class interval & 600 - 640 & 640 - 680 & 680 - 720 & 720 - 760 & 760 - 800 & 800 - 840 Frequency & 18 & 45 & 153 & 288 & 171 & 63 \end{matrix}$
Using this histogram, draw the frequency polygon on the same graph

Q. State whether the following statements are true or false:

1) Arrangement of data in rows and columns is called classification of data.

2) Diagram represent the tabulated data in visual form.

3) Frequency polygon and frequency curve both are same.

4) Histogram gives a graphical presentation of continuous frequency distribution.

5) A diagram is an alternative to table.

6) Graphs are said to be more technical.

Q. Following table shows a frequency distribution for the speed of cars passing through particular spot on a national highway :

\begin{matrix} C l a s s I n t e r v a l s (k m / h) : & 40 - 50 & 50 - 60 & 60 - 70 & 70 - 80 & 80 - 90 & 90 - 100 & 100 - 110 F r e q u e n c y : & 5 & 8 & 30 & 70 & 55 & 33 & 12 \end{matrix}

Draw a histogram and frequency polygon representing the data above.

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Draw, in the same diagram , a histogram and a frequency polygon to represent the following data which shows the monthly cost of living index of a city in a period of 2 years: Cost of living index440−460460−480480−500500−520520−540540−560560−580580−600No. of months24353214

Cost of living index440−460460−480480−500500−520520−540540−560560−580580−600No. of months24353214

$\begin{matrix} Cost of living index & 440 - 460 & 460 - 480 & 480 - 500 & 500 - 520 & 520 - 540 & 540 - 560 & 560 - 580 & 580 - 600 No. of months & 2 & 4 & 3 & 5 & 3 & 2 & 1 & 4 \end{matrix}$