The frequency polygon of a frequency distribution is shown below.

Answer the following about the distribution from the histogram.

(i) What is the frequency of the class interval whose class mark is 15?

(ii) What is the class interval whose class mark is 45?

(iii) Construct a frequency table for the distribution.

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Solution

(i) 18

(ii) 40 – 50

(iii) As the class marks of consecutive overlapping class intervals are 5, 15, 25, 35, 45, 55 we find the class intervals are 0

– 10, 10 – 20, 20 – 30, 30 – 40, 40 – 50, 50 – 60.

Therefore, the frequency table is constructed as below.

$\begin{matrix} Class Interval & Frequency 0 - 10 & 10 10 - 20 & 18 20 - 30 & 14 30 - 40 & 26 40 - 50 & 8 50 - 60 & 18 \end{matrix}$

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Similar questions

Class marks (Marks)	150	160	170	180	190	200
No. of Students	23	14	16	11	21	15

Class Marks	$10$	$22$	$34$	$46$	$58$	$70$
Frequency	$6$	$14$	$20$	$21$	$9$	$5$

Marks (Class marks)	70	80	90	100
No. of Students (Frequency)	25	41	7	13

Prepare a frequency distribution table for the scores given:

42, 22, 55, 18, 50, 10, 33, 29, 17, 29, 29, 27, 34, 15, 40, 42, 40, 41, 35, 27,

44, 31, 38, 19, 54, 55, 38, 19, 20, 30, 42, 59, 15, 19, 27, 23, 40, 32, 28, 51.

Take the class intervals as 10-20, 20-30, 30-40, 40-50, 50-60.

From the frequency distribution table answer the following questions:

(i) What does the frequency corresponding to the class interval 20-30 indicate?

(ii) In which class intervals are the scores 10, 20 and 30 included?

(iii) Find the range of the scores.

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