Name: Representation of Data by Creating Histogram
Uploaded: 2019-07-19
Duration: 6 min 41 s
Description: The histogram is the most powerful tool to present the data on the number line. Let's watch this video to learn how to represent the data and analyse them.

Question

The heights of the workers in a company is as follows.

Height (in $cm$ )	$130 - 140$	$140 - 150$	$150 - 160$	$160 - 170$	$170 - 180$	$180 - 190$
Number of workers	$8$	$18$	$20$	$5$	$4$	$3$

Draw a histogram to represent the data.

Accepted Answer

Given,

The heights of the workers in a company is as follows.

Height (in $cm$ ) $130 - 140$ $140 - 150$ $150 - 160$ $160 - 170$ $170 - 180$ $180 - 190$

Number of workers $18$ $20$ $5$ $4$ $3$ $3$

Procedure to draw histogram:

(i) On a graph paper, take two perpendicular lines, one horizontal and the other vertical, intersecting at O. Mark them as $OX$ and $OY$ .

(ii) The horizontal line $OX$ is the $x -$ axis and vertical line $OY$ is the $y -$ axis.

(iii) Represent class limits along the $x -$ axis with a suitable scale.

(iv) Represent frequencies along the $y -$ axis with a suitable scale.

(v) Construct rectangles with class intervals as base and respective frequencies as heights.

(vi) Select a scale depending upon the data as convenience. The scale for the $x -$ axis should not be equal to the scale of the $y -$ axis.

Lets take scale as follows:

Represent the heights in $x -$ axis, $1 big square = 10 units$

Represent the number of workers in $y -$ axis, $1 big square = 2 units$

Hence, the required answer is shown above.

Age (in years)	$0 - 4$	$4 - 8$	$8 - 12$	$12 - 16$	$16 - 20$	$20 - 24$	$24 - 28$	$28 - 32$
Number of persons	$1$	$3$	$6$	$8$	$10$	$8$	$5$	$3$

Class intervals	$10 - 15$	$15 - 20$	$20 - 25$	$25 - 30$	$30 - 35$	$35 - 40$
Frequency	$6$	$10$	$10$	$8$	$18$	$12$

Cost of living index	$440 - 460$	$460 - 480$	$480 - 500$	$500 - 520$	$520 - 540$	$540 - 560$	$560 - 580$	$580 - 600$	Total
Number of months	$2$	$4$	$3$	$5$	$3$	$2$	$1$	$4$	$24$

IQ	$60 - 70$	$70 - 80$	$80 - 90$	$90 - 100$	$100 - 110$	$110 - 120$	$120 - 130$
Number of pupils	$2$	$3$	$5$	$16$	$14$	$13$	$7$

The heights of the workers in a company is as follows.

Height (in $cm$ ) $130 - 140$ $140 - 150$ $150 - 160$ $160 - 170$ $170 - 180$ $180 - 190$

Number of workers $8$ $18$ $20$ $5$ $4$ $3$

Draw a histogram to represent the data.

Important Questions on Data Handling

Learn and Prepare for any exam you want !

The heights of the workers in a company is as follows. Height (in cm) 130-140 140-150 150-160 160-170 170-180 180-190 Number of workers 8 18 20 5 4 3 Draw a histogram to represent the data.

Important Questions on Data Handling

Learn and Prepare for any exam you want !

The heights of the workers in a company is as follows.

Height (in $cm$ ) $130 - 140$ $140 - 150$ $150 - 160$ $160 - 170$ $170 - 180$ $180 - 190$

Number of workers $8$ $18$ $20$ $5$ $4$ $3$

Draw a histogram to represent the data.