Draw a histogram to represent the following data:
Pocket money (in $R s$ )
$150 - 200$ $200 - 250$ $250 - 300$ $300 - 350$ $350 - 400$
Number of students $10$ $5$ $7$ $4$ $3$

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Solution

Now that we have organized our data by classes, we are ready to draw our histogram.

$1$ Draw a horizontal line. This will be where we denote our classes.

$2.$ Place evenly spaced marks along this line that correspond to the classes.

$3.$ Label the marks so that the scale is clear and give a name to the horizontal axis.

$4.$ Draw a vertical line just to the left of the lowest class.
Choose a scale for the vertical axis that will accommodate the class with the highest frequency.

Scale: $1$ cm $= 1$ student $y -$ axis

$5.$ Label the marks so that the scale is clear and give a name to the vertical axis.

$6.$ Construct bars for each class. The height of each bar should correspond to the frequency of the class at the base of the bar. We can also use relative frequencies for the heights of our bars.

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40

Marks	$150 - 200$	$200 - 250$	$250 - 300$	$300 - 350$	$350 - 400$	$400 - 450$	$450 - 500$
Students	$2$	$3$	$12$	$10$	$4$	$6$	$3$

Daily expenditure (in Rs.)	$100 - 150$	$150 - 200$	$200 - 250$	$250 - 300$	$300 - 350$
No. of households	$4$	$5$	$12$	$2$	$2$

200

332

x

y

Class	$100 - 150$	$150 - 200$	$200 - 250$	$250 - 300$	$300 - 350$	$350 - 400$	$400 - 450$	$400 - 450$	$500 - 550$
Frequency	$4$	$8$	$x$	$42$	$50$	$y$	$32$	$6$	$4$

Expenditure (in Rs):	100-150	150-200	200-250	250-300	300-350	350-400	400-450	450-500
No. of manual workers:	25	40	33	28	30	22	16	8

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Pocket money (in $R s$ )	$150 - 200$	$200 - 250$	$250 - 300$	$300 - 350$	$350 - 400$
Number of students	$10$	$5$	$7$	$4$	$3$