(Use a graph paper for this question.) The daily pocket expenses of $200$ students in a school are given below:
Pocket expenses (in Rs) $0 - 5$ $5 - 10$ $10 - 15$ $15 - 20$ $20 - 25$ $25 - 30$ $30 - 35$ $35 - 40$
Number of students (frequency) $10$ $14$ $28$ $42$ $50$ $30$ $14$ $12$
Draw a histogram representing the above distribution and estimate the mode from the graph.

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Solution

The histogram for the given data is constructed. The class $20 - 25$ has the highest frequency, hence it is the modal class.
Connect the endpoints from the modal class as shown in the histogram. The intersection points of these lines represents the mode, which comes out to be around $21.5$ .

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(Use a graph paper for this question) The daily pocket expenses of 200 students in a school are given below: [4 MARKS]

Pocket expenses (in Rs.)	No.of students (frequency)
0-5	10
5-10	14
10-15	28
15-20	42
20-25	50
25-30	30
30-35	14
35-40	12

Draw a histogram representing the above distribution and estimate the mode from the graph.

The daily pocket expenses of 206 students in a school are given below.

$\begin{matrix} Pocket expense & 0 - 5 & 5 - 10 & 10 - 15 & 15 - 20 & 20 - 25 & 25 - 30 & 30 - 35 & 35 - 40 (in rupees) Number of students & 10 & 16 & 30 & 42 & 50 & 30 & 16 & 12 (Frequency) \end{matrix}$
Construct a frequency polygon representing the above data. [4 MARKS]

Q. The daily pocket expenses of 206 students in a school are given below.

\begin{matrix} P o c k e t e x p e n s e & 0 - 5 & 5 - 10 & 10 - 15 & 15 - 20 & 20 - 25 & 25 - 30 & 30 - 35 & 35 - 40 (i n r u p e e s) N u m b e r o f s t u d e n t s & 10 & 16 & 30 & 42 & 50 & 30 & 16 & 12 (F r e q u e n c y) \end{matrix}

Construct a frequency polygon representing the above data. [4 MARKS]

Q. Draw histogram and frequency polygon on the same graph paper for the following frequency distribution.

Class	Frequency
$15 - 20$	$20$
$20 - 25$	$30$
$25 - 30$	$50$
$30 - 35$	$40$
$35 - 40$	$25$
$40 - 45$	$10$

Q. The following are the daily expeditures (in

R s

) of

30

student in a school.

Ependiture (in $R s$ )	No. of students
$10 - 15$	$3$
$15 - 20$	$5$
$20 - 25$	$10$
$25 - 30$	$6$
$30 - 35$	$4$
$35 - 40$	$2$
Total	$30$

How many student spend daily between

20

and

25

rupees?

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Pocket expenses (in Rs)	$0 - 5$	$5 - 10$	$10 - 15$	$15 - 20$	$20 - 25$	$25 - 30$	$30 - 35$	$35 - 40$
Number of students (frequency)	$10$	$14$	$28$	$42$	$50$	$30$	$14$	$12$

The histogram for the given data is constructed. The class 20−25 has the highest frequency, hence it is the modal class.Connect the endpoints from the modal class as shown in the histogram. The intersection points of these lines represents the mode, which comes out to be around 21.5.

The histogram for the given data is constructed. The class $20 - 25$ has the highest frequency, hence it is the modal class.
Connect the endpoints from the modal class as shown in the histogram. The intersection points of these lines represents the mode, which comes out to be around $21.5$ .