Ages of $60$ teachers in primary schools of a Mandal are given in the following frequency distribution table. Construct the Frequency polygon and frequency curve for the data without using the histogram. (Use separate graph sheets)
Ages $24 - 28$ $28 - 32$ $32 - 36$ $36 - 40$ $40 - 44$ $44 - 48$
No of teachers $12$ $10$ $15$ $9$ $8$ $6$

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Solution

$A g e s$ $C l a s s - m a r k$ $N o . o f t e a c h e r s$
$20 - 24$ $22$ $0$
$24 - 28$ $26$ $12$
$28 - 32$ $30$ $10$
$32 - 36$ $34$ $15$
$36 - 40$ $38$ $9$
$40 - 44$ $42$ $8$
$44 - 48$ $46$ $6$
$48 - 52$ $50$ $0$

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Q. Ages of 44 residents living in a society are given in the following frequency distribution table.

Ages (in years)	Residents
10-20	5
20-30	9
30-40	16
40-50	11
50-60	3

Construct the frequency curve for the data without using histogram.

Q. The mode for the following frequency distribution is:

Size of items	Frequency	Size of items	Frequency
0-4	5	20-24	10
4-8	7	24-28	6
8-12	9	28-32	3
12-16	17	32-36	1
16-20	12	36-40	0

Q. Draw a histogram to represent the following grouped frequency distribution

\begin{matrix} Age(in years) & Number of teachers 20 - 24 & 10 25 - 29 & 28 30 - 34 & 32 35 - 39 & 48 40 - 44 & 50 45 - 49 & 35 50 - 54 & 12 \end{matrix}

Question 4
Draw a histogram to represent the following grouped frequency distribution

$\begin{matrix} Age(in years) & Number of teachers 20 - 24 & 10 25 - 29 & 28 30 - 34 & 32 35 - 39 & 48 40 - 44 & 50 45 - 49 & 35 50 - 54 & 12 \end{matrix}$

Q. Question 4
Draw a histogram to represent the following grouped frequency distribution

\begin{matrix} A g e (i n y e a r s) & N u m b e r o f t e a c h e r s 20 - 24 & 10 25 - 29 & 28 30 - 34 & 32 35 - 39 & 48 40 - 44 & 50 45 - 49 & 35 50 - 54 & 12 \end{matrix}

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Ages	$24 - 28$	$28 - 32$	$32 - 36$	$36 - 40$	$40 - 44$	$44 - 48$
No of teachers	$12$	$10$	$15$	$9$	$8$	$6$

$A g e s$	$C l a s s - m a r k$	$N o . o f t e a c h e r s$
$20 - 24$	$22$	$0$
$24 - 28$	$26$	$12$
$28 - 32$	$30$	$10$
$32 - 36$	$34$	$15$
$36 - 40$	$38$	$9$
$40 - 44$	$42$	$8$
$44 - 48$	$46$	$6$
$48 - 52$	$50$	$0$

Ages of 60 teachers in primary schools of a Mandal are given in the following frequency distribution table. Construct the Frequency polygon and frequency curve for the data without using the histogram. (Use separate graph sheets)Ages24−2828−3232−3636−4040−4444−48No of teachers121015986

Ages Class−mark No.ofteachers 20−2422 0 24−2826 12 28−3230 10 32−3634 15 36−4038 9 40−4442 8 44−4846 6 48−5250 0

$A g e s$ $C l a s s - m a r k$ $N o . o f t e a c h e r s$
$20 - 24$ $22$ $0$
$24 - 28$ $26$ $12$
$28 - 32$ $30$ $10$
$32 - 36$ $34$ $15$
$36 - 40$ $38$ $9$
$40 - 44$ $42$ $8$
$44 - 48$ $46$ $6$
$48 - 52$ $50$ $0$