4 Marks Each

Question 14 Marks

The workers in a factory are working in two shifts. Total number of workers is $5000$ . There are $2000$ workers in the first shift. In this shift, among the local workers, the number of male workers is $1200$ and the number of female workers is $300$ . In the second shift, among the local workers, the number of male workers is $2000$ and the number of female workers is $600$ . There are total $1200$ female workers in the factory, of them $500$ female workers are working in the first shift. Present the data in a tabular form.

Answer

Table showing the number workers in shifts of a factory :

Worker Shift darr	Local			Non Local			Total
First	$1200$	$300$	$1500$	$300$	$200$	$500$	$1500$	$500$	$2000$
Second	$2000$	$600$	$2600$	$300$	$100$	$400$	$2300$	$700$	$3000$
Total	$3200$	$900$	$4100$	$600$	$300$	$900$	$3800$	$1200$	$5000$

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Question 24 Marks

There were $1000$ students in a school. The number of students in standard $10,11,12$ were in the proportion of $2: 2: 1.25 \%$ of the total number of students in standard $10$ were boys. The number of boys were three times the number of girls in standard $11$. The numbers of boys and girls were equal in standard $12$. Present the data in a tabular form.

Answer

Table showing the gender wise number of students in classes of a school:

Class	Gender		Total
	Boys	Girls
$10$	$250$	$150$	$400$
$11$	$300$	$100$	$400$
$12$	$100$	$100$	$200$
Total	$650$	$350$	$1000$

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Question 34 Marks

Represent the following data in an appropriate table. $800$ candidates appeared for a public examination. Of these candidates, the number of boys exceeded number of girls by $20 \%$ of the total candidates. The number of candidates passed exceeded the number of candidates failed by $420$ . The number of boys failed were $130$ .

Answer

Table showing the results of candidates in a public examination based on gender :

Result	Students		Total
	Boys	Girls
Pass	$350$	$260$	$610$
Fail	$130$	$60$	$190$
Total	$480$	$320$	$800$

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Question 44 Marks

The data of daily average income (in $₹$ ) for $40$ hawkers of a city are as follows. Prepare an exclusive frequency distribution having classlength $100$ and midvalue of one of the classes as $650$ .
$\text{539 476 513 436 453 670 953 972 691 587}$
$\text{822 999 469 447 442 680 513 560 737 687}$
$\text{1044 891 560 481 478 460 476 563 558 1080}$
$\text{1033 707 660 602 503 493 504 443 550 900}$

Answer

Exclusive frequency distribution showing average daily income (in $₹$) of $40$ hawkers in a city :

Average daily income $(₹)$	$400-500$	$500-600$	$600-700$	$700-800$	$800-900$	$900-1000$	$1000-1100$	Total
No. of hawkers	$12$	$11$	$6$	$2$	$2$	$4$	$3$	$40$

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Question 54 Marks

Marks obtained by $30$ students in an examination of $100$ marks are as follows. Prepare an inclusive continuous frequency distribution of equal class lengths and having $30-39$ as its first class.
$\text{72 81 80 62 75 58 66 85 36 80 88 82 40 34 54}$
$\text{57 57 68 34 41 53 49 64 46 39 57 73 52 58 44}$

Answer

Inclusive continuous frequency distribution of marks obtained by $30$ students in an examination :

Marks	$30-39$	$40-49$	$50-59$	$60-69$	$70-79$	$80-89$	Total
No. of students	$4$	$5$	$8$	$4$	$3$	$6$	$30$

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Question 64 Marks

The age (in years) of $50$ members of a women's association are as under. Prepare a frequency distribution from this information by taking class length $5$ .
$\text{26 27 53 27 22 21 28 34 29 38}$
$\text{26 24 25 32 30 20 37 27 29 25}$
$\text{29 30 57 22 47 41 26 24 42 27}$
$\text{45 47 28 36 29 27 41 25 36 52}$
$\text{49 26 23 31 33 23 27 31 21 25}$

Answer

Frequency distribution of ages of $50$ members of a ladies club :

Age (years)	$20-25$	$25-30$	$30-35$	$35-40$	$40-45$	$45-50$	$50-55$	$55-60$	Total
No. of Women	$9$	$20$	$7$	$4$	$3$	$4$	$2$	$1$	$50$

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Statistics 4 Marks Each

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