Represent the following data using a histogram and then, draw a frequency polygon.

No. of words typed per minute 30-39 40-49 50-59 60-69 70-79

No . of typists 2 8 15 12 3

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Solution

The given data is in discontinuous form. So, first we have to make it continuous.
We have to extend the classes equally at both the ends. This can be done by extending the classes
by half of the gap between two consecutive classes .

Extended classes (No. of words typed per minute) 29.5-39.5 39.5-49.5 49.5-59.5 59.5-69.5 69.5-79.5

Frequencies
(No. of typists ) 2 8 15 12 3

Histogram and frequency polygon are as follows :

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Similar questions

No. of words typed per minute	$30 - 39$	$40 - 49$	$50 - 59$	$60 - 69$	$70 - 79$
No. of typists	$2$	$8$	$15$	$12$	$3$

Marks	20−29	30−39	40−49	50−59	60−69	70−79
No. of Students	4	10	12	9	7	3

X	10−19	20−29	30−39	40−49	50−59	60−69	70−79	80−89
No. Persons	32	42	40	56	20	6	2	2

Draw a histogram to represent the following frequency distribution.

Class Interval	60−69	50−59	40−49	30−39	20−29	10−19
Frequency	13	15	21	20	19	12

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No. of words typed per minute	30-39	40-49	50-59	60-69	70-79
No . of typists	2	8	15	12	3

Extended classes (No. of words typed per minute)	29.5-39.5	39.5-49.5	49.5-59.5	59.5-69.5	69.5-79.5
Frequencies (No. of typists )	2	8	15	12	3