The table below shows the classification of people, participated in a medical camp, according to their weights.
Weight (in kilogram) Number of people
$20 - 30$ $16$
$30 - 40$ $21$
$40 - 50$ $28$
$50 - 60$ $24$
$60 - 70$ $11$
Calculate the mean weight.

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Solution

Weight (in kilogram) Number of people Class mark Total weight
$20 - 30$ $16$ $25$ $16 \times 25 = 400$
$30 - 40$ $21$ $35$ $21 \times 35 = 735$
$40 - 50$ $28$ $45$ $28 \times 45 = 1260$
$50 - 60$ $24$ $55$ $24 \times 55 = 1320$
$60 - 70$ $11$ $65$ $11 \times 65 = 715$
Total $100$ $4430$
$M e a n w e i g h t = \frac{Total weight}{Total number of people} = \frac{4430}{100} = 44.3 k g$ .

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Q. The marks obtained by 40 students of a class are given below :

80, 10, 30, 70, 60, 50, 50, 40, 40, 20, 40, 90, 50, 30, 70, 10, 60, 50, 20, 70, 70, 30, 80, 40, 20, 80, 90,

50, 80, 60, 70, 40, 50, 60, 90, 60, 40, 40, 60

, and

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Construct a frequency distribution table.

Table 1
Marks	Frequency	Cumulative Frequency
0-10	2	2
10-20	8	10
20-30	12	22
30-40	18	40
40-50	28	68
50-60	22	90
60-70 70-80	6 4	96 100

Table 2

Class (marks )	Frequency
11-15	2
16-20	3
21-25	3
26-30	5
31-35	6
36-40	6
41-45	3
46-50	2
Total	30

Table 3

Time (in min)	Frequency
15	7
20	15
25	17
30	3
35	14
40	2

Table 4

31	42	49	25	29
40	36	24	29	30
40	46	38	34	26
24	22	39	40	21

Which table shows the cumulative frequency distribution?

Q. The following table shows the income of farmers in a grape season. Find the mean of their income.

Income (Thousand Rupees)	20 - 30	30 - 40	40 - 50	50 - 60	60 - 70	70 - 80
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Calculate the mean and standard deviation for the following table, if the age distribution of a group of people are given below.

$\begin{matrix} Age & 20 - 30 & 30 - 40 & 40 - 50 & 50 - 60 & 60 - 70 & 70 - 80 & 80 - 90 Number of persons & 3 & 51 & 122 & 141 & 130 & 51 & 2 \end{matrix}$

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Weight (in kilogram)	Number of people
$20 - 30$	$16$
$30 - 40$	$21$
$40 - 50$	$28$
$50 - 60$	$24$
$60 - 70$	$11$

Weight (in kilogram)	Number of people	Class mark	Total weight
$20 - 30$	$16$	$25$	$16 \times 25 = 400$
$30 - 40$	$21$	$35$	$21 \times 35 = 735$
$40 - 50$	$28$	$45$	$28 \times 45 = 1260$
$50 - 60$	$24$	$55$	$24 \times 55 = 1320$
$60 - 70$	$11$	$65$	$11 \times 65 = 715$
Total	$100$		$4430$

The table below shows the classification of people, participated in a medical camp, according to their weights.Weight (in kilogram)Number of people20−301630−402140−502850−602460−7011Calculate the mean weight.

Weight (in kilogram)Number of peopleClass markTotal weight20−30162516×25=40030−40213521×35=73540−50284528×45=126050−60245524×55=132060−70116511×65=715Total1004430Mean weight=Total weightTotal number of people=4430100=44.3 kg.

The table below shows the classification of people, participated in a medical camp, according to their weights.
Weight (in kilogram) Number of people
$20 - 30$ $16$
$30 - 40$ $21$
$40 - 50$ $28$
$50 - 60$ $24$
$60 - 70$ $11$
Calculate the mean weight.