The following table shows the details about the expenditures (in percentages) of Indian Hotel industries under various components. Component of Expenditure Percentage of expenditure Administrative 30 Salary 20 Maintenance 14 Food and Beverages 12 Electricity 16 Savings 8 Draw pie diagram to represent the data. Also find the difference between the angles corresponding to Electricity and Maintenance.

We have, Class frequency = 100 Component of Expenditure Percentage of expenditure Angle of the circle Administrative 30 30 100 × 360 = 108 0 Salary 20 20 100 × 360 = 72 0 Maintenance 14 14 100 × 360 = 50 . 4 0 Food and Beverages 12 12 100 × 360 = 43 . 2 0 Electricity 16 16 100 × 360 = 57 . 6 0 Savings 8 8 100 × 360 = 28 . 8 0 Thus the pie chart will be: From the table above we observe that the difference between the angles corresponding to Electricity and Maintenance is = 57 . 6 - 50 . 4 = 7 . 2

Details about Stipend (in ₹ ) given to the apprentices in an organization are given below. Draw less than Ogive to the data. Stipend in ₹ Number of apprentices 2000 - 3000 4 3000 - 4000 6 4000 - 5000 13 5000 - 6000 25 6000 - 7000 32 7000 - 8000 19 8000 - 9000 8 9000 - 10000 3 Estimate from the curve, the number of apprentices whose stipend is less than ₹ 5500

We have, Stipend in ₹ (Less than) Cumulative frequency 3000 4 4000 10 5000 23 6000 48 7000 80 8000 99 9000 107 10000 110 From the graph above we can observe that 38 apprentices get stipend less than ₹ 5500

Details about Stipend (in ₹ ) given to the apprentices in an organization are given below. Draw less than Ogive to the data. Stipend in ₹ Number of apprentices 2000 - 3000 4 3000 - 4000 6 4000 - 5000 13 5000 - 6000 25 6000 - 7000 32 7000 - 8000 19 8000 - 9000 8 9000 - 10000 3 Find the median of the data

We have, Stipend in ₹ (Less than) Cumulative frequency 3000 4 4000 10 5000 23 6000 48 7000 80 8000 99 9000 107 10000 110 From the graph above we can observe that the median is ₹ 6300

Draw more than Ogive curve for the following data showing the marks secured by the students of Class XI in a school. Marks Number of students 0 - 10 2 10 - 20 4 20 - 30 9 30 - 40 10 40 - 50 8 50 - 60 5 60 - 70 3 70 - 80 2 Estimate the total number of students who secured marks more than 33

We have, Marks (More than) Number of Students 0 43 10 41 20 37 30 28 40 18 50 10 60 5 70 2 From the graph, we can observe that, 25 students have secured marks more than 33

Draw more than Ogive curve for the following data showing the marks secured by the students of Class XI in a school. Marks Number of students 0 - 10 2 10 - 20 4 20 - 30 9 30 - 40 10 40 - 50 8 50 - 60 5 60 - 70 3 70 - 80 2 Find median of the data.

We have, Marks (More than) Number of Students 0 43 10 41 20 37 30 28 40 18 50 10 60 5 70 2 From the graph, we can observe that the median is 37

EXERCISE

Author:Tamil Nadu Board

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HARD

11th Tamil Nadu Board

IMPORTANT

Statistics Standard 11>Chapter 4 - Diagrammatic and Graphical Representation of Data>EXERCISE>Q 41

The following table shows the details about the expenditures (in percentages) of Indian Hotel industries under various components.

Component of Expenditure	Percentage of expenditure
Administrative	$30$
Salary	$20$
Maintenance	$14$
Food and Beverages	$12$
Electricity	$16$
Savings	$8$

Draw pie diagram to represent the data. Also find the difference between the angles corresponding to Electricity and Maintenance.

HARD

11th Tamil Nadu Board

IMPORTANT

Statistics Standard 11>Chapter 4 - Diagrammatic and Graphical Representation of Data>EXERCISE>Q 44

A factory produces bolts. In the Quality Control test conducted on 500 bolts, the weights (grams) of the bolts were recorded. Draw frequency polygon and frequency curve to the data.

Weight (gram)	$40 - 50$	$50 - 60$	$60 - 70$	$70 - 80$	$80 - 90$
Number of bolts	$30$	$90$	$130$	$210$	$40$

HARD

11th Tamil Nadu Board

IMPORTANT

Statistics Standard 11>Chapter 4 - Diagrammatic and Graphical Representation of Data>EXERCISE>Q 47

Details about Stipend (in $₹$ ) given to the apprentices in an organization are given below. Draw less than Ogive to the data.

Stipend in $₹$	Number of apprentices
$2000 - 3000$	$4$
$3000 - 4000$	$6$
$4000 - 5000$	$13$
$5000 - 6000$	$25$
$6000 - 7000$	$32$
$7000 - 8000$	$19$
$8000 - 9000$	$8$
$9000 - 10000$	$3$

Estimate from the curve, the number of apprentices whose stipend is less than $₹ 5500$

HARD

11th Tamil Nadu Board

IMPORTANT

Statistics Standard 11>Chapter 4 - Diagrammatic and Graphical Representation of Data>EXERCISE>Q 47

Details about Stipend (in $₹$ ) given to the apprentices in an organization are given below. Draw less than Ogive to the data.

Stipend in $₹$	Number of apprentices
$2000 - 3000$	$4$
$3000 - 4000$	$6$
$4000 - 5000$	$13$
$5000 - 6000$	$25$
$6000 - 7000$	$32$
$7000 - 8000$	$19$
$8000 - 9000$	$8$
$9000 - 10000$	$3$

Find the median of the data

HARD

11th Tamil Nadu Board

IMPORTANT

Statistics Standard 11>Chapter 4 - Diagrammatic and Graphical Representation of Data>EXERCISE>Q 48

Draw more than Ogive curve for the following data showing the marks secured by the students of Class XI in a school.

Marks	Number of students
$0 - 10$	$2$
$10 - 20$	$4$
$20 - 30$	$9$
$30 - 40$	$10$
$40 - 50$	$8$
$50 - 60$	$5$
$60 - 70$	$3$
$70 - 80$	$2$

Estimate the total number of students who secured marks more than $33$

HARD

11th Tamil Nadu Board

IMPORTANT

Statistics Standard 11>Chapter 4 - Diagrammatic and Graphical Representation of Data>EXERCISE>Q 48

Draw more than Ogive curve for the following data showing the marks secured by the students of Class XI in a school.

Marks	Number of students
$0 - 10$	$2$
$10 - 20$	$4$
$20 - 30$	$9$
$30 - 40$	$10$
$40 - 50$	$8$
$50 - 60$	$5$
$60 - 70$	$3$
$70 - 80$	$2$

Find median of the data.

HARD

11th Tamil Nadu Board

IMPORTANT

Statistics Standard 11>Chapter 4 - Diagrammatic and Graphical Representation of Data>EXERCISE>Q 49

The lifetime (in hours) of 100 bulbs observed in a Quality Control tests given below.

Life time

(in hours)

600 - 650

650 - 700

700 - 750

750 - 800

800 - 850

Number of bulbs

6

14

40

34

6

Draw less than ogive and more than ogive curves

HARD

11th Tamil Nadu Board

IMPORTANT

Statistics Standard 11>Chapter 4 - Diagrammatic and Graphical Representation of Data>EXERCISE>Q 49

The lifetime (in hours) of 100 bulbs observed in a Quality Control tests given below.

Life time

(in hours)

600 - 650

650 - 700

700 - 750

750 - 800

800 - 850

Number of bulbs

6

14

40

34

6

Find the median lifetime of bulbs graphically.

EXERCISE

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