Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 8th

# Samacheer Kalvi solutions for Mathematics Class 8th Tamil Nadu State Board chapter 6 - Statistics [Latest edition]

## Chapter 6: Statistics

Exercise 6.1Exercise 6.2Exercise 6.3
Exercise 6.1 [Pages 220 - 221]

### Samacheer Kalvi solutions for Mathematics Class 8th Tamil Nadu State Board Chapter 6 Statistics Exercise 6.1 [Pages 220 - 221]

#### Fill in the blanks:

Exercise 6.1 | Q 1. (i) | Page 220

Data has already been collected by some other person is _____________ data

Exercise 6.1 | Q 1. (ii) | Page 220

The upper limit of the class interval (25 - 35) is _____________

Exercise 6.1 | Q 1. (iii) | Page 220

The range of the data 200, 15, 20, 103, 3, 196, is _____________

Exercise 6.1 | Q 1. (iv) | Page 220

If a class size is 10 and range is 80 then the number of classes are ___________

Exercise 6.1 | Q 1. (v) | Page 220

Pie chart is a __________ graph

#### Say True or False:

Exercise 6.1 | Q 2. (i) | Page 220

Inclusive series is a continuous series

• True

• False

Exercise 6.1 | Q 2. (ii) | Page 220

Comparison of parts of a whole may be done by a pie chart

• True

• False

Exercise 6.1 | Q 2. (iii) | Page 220

Media and business people use pie charts

• True

• False

Exercise 6.1 | Q 2. (iv) | Page 220

A pie diagram is a circle broken down into component sectors

• True

• False

Exercise 6.1 | Q 3 | Page 220

Represent the following data in ungrouped frequency table which gives the number of children in 25 families.

1, 3, 0, 2, 5, 2, 3, 4, 1, 0, 5, 4, 3, 1, 3, 2, 5, 2, 1, 1, 2, 6, 2, 1, 4

Exercise 6.1 | Q 4 | Page 220

Form a continuous frequency distribution table for the marks obtained by 30 students in a X std public examination.

328, 470, 405, 375, 298, 326, 276, 362, 410, 255, 391, 370, 455, 229, 300, 183, 283, 366, 400, 495, 215, 157, 374, 306, 280, 409, 321, 269, 398, 200

Exercise 6.1 | Q 5. (i) | Page 220

A paint company asked a group of students about their favourite colours and made a pie chart of their findings. Use the information to answer the following questions.

What percentage of the students like red colour?

Exercise 6.1 | Q 5. (ii) | Page 220

A paint company asked a group of students about their favourite colours and made a pie chart of their findings. Use the information to answer the following questions.

How many students liked green colour?

Exercise 6.1 | Q 5. (iii) | Page 221

A paint company asked a group of students about their favourite colours and made a pie chart of their findings. Use the information to answer the following questions.

What fraction of the students liked blue?

Exercise 6.1 | Q 5. (iv) | Page 221

A paint company asked a group of students about their favourite colours and made a pie chart of their findings. Use the information to answer the following questions.

How many students did not like red colour?

Exercise 6.1 | Q 5. (v) | Page 221

A paint company asked a group of students about their favourite colours and made a pie chart of their findings. Use the information to answer the following questions.

How many students liked pink or blue?

Exercise 6.1 | Q 5. (vi) | Page 221

A paint company asked a group of students about their favourite colours and made a pie chart of their findings. Use the information to answer the following questions.

Exercise 6.1 | Q 6 | Page 221

A survey gives the following information of food items preferred by people. Draw a Pie chart.

 Items Vegetables Meat Salad Fruits Sprouts Bread No. of people 160 90 80 50 30 40
Exercise 6.1 | Q 7 | Page 221

Income from various sources for Government of India from a rupee is given below. raw a pie chart.

 Source Corporation tax Income tax Customs Excise duties Service Tax Others Income (in paise) 19 16 9 14 10 32
Exercise 6.1 | Q 8 | Page 221

Monthly expenditure of Kumaran’s family is given below. Draw a suitable Pie chart.

 Particulars Food Education Rent Transport Miscellaneous Expenses (in %) 50% 20% 15% 5% 10%

Also
1. Find the amount spent for education if Kumaran spends ₹ 6000 for Rent.

2. What is the total salary of Kumaran?

3. How much did he spend more for food than education?

Exercise 6.2 [Pages 227 - 229]

### Samacheer Kalvi solutions for Mathematics Class 8th Tamil Nadu State Board Chapter 6 Statistics Exercise 6.2 [Pages 227 - 229]

Exercise 6.2 | Q 1. (i) | Page 227

Identify the following data can be represented in a histogram?

The number of mountain climbers in the age group 20 to 60 in Tamil Nadu.

• Yes

• No

Exercise 6.2 | Q 1. (ii) | Page 227

Identify the following data can be represented in a histogram?

Production of cycles in different years

• Yes

• No

Exercise 6.2 | Q 1. (iii) | Page 227

Identify the following data can be represented in a histogram?

The number of students in each class of a school

• Yes

• No

Exercise 6.2 | Q 1. (iv) | Page 227

Identify the following data can be represented in a histogram?

The number of votes polled from 7 am to 6 pm in an election

• Yes

• No

Exercise 6.2 | Q 1. (v) | Page 227

Identify the following data can be represented in a histogram?

The wickets fallen from 1 over to 50th over in a one day cricket match

• Yes

• No

#### Fill in the blanks:

Exercise 6.2 | Q 2. (i) | Page 227

The total area of the histogram is _________ to the total frequency of the given data

Exercise 6.2 | Q 2. (ii) | Page 227

A graph that displays data that changes continuously over the periods of time is _________

Exercise 6.2 | Q 2. (iii) | Page 227

Histogram is a graphical representation of ___________ data

Exercise 6.2 | Q 3. (i) | Page 228

In a village, there are 570 people who have cell phones. An NGO survey their cell phone usage. Based on this survey a histogram is drawn

How many people use the cell phone for less than 3 hours?

Exercise 6.2 | Q 3. (ii) | Page 228

In a village, there are 570 people who have cell phones. An NGO survey their cell phone usage. Based on this survey a histogram is drawn

How many of them use the cell phone for more than 5 hours?

Exercise 6.2 | Q 3. (iii) | Page 228

In a village, there are 570 people who have cell phones. An NGO survey their cell phone usage. Based on this survey a histogram is drawn

Are people using cell phone for less than 1 hour?

Exercise 6.2 | Q 4 | Page 228

Draw a histogram for the following data.

 Class Interval 0 − 10 10 − 20 20 − 30 30 − 40 40 − 50 50 − 60 No. of students 5 15 23 20 10 7
Exercise 6.2 | Q 5 | Page 228

Construct a histogram from the following distribution of total marks of 40 students in a class.

 Marks 90 − 110 110 − 130 130 − 150 150 − 170 170 − 190 190 − 210 No. of Students 9 5 10 7 4 6
Exercise 6.2 | Q 6 | Page 228

The distribution of heights (in cm) of 100 people is given below. Construct a histogram and the frequency polygon imposed on it.

 Height (in cm) 125 − 135 136 − 146 147 − 157 158 − 168 169 − 179 180 − 190 191 − 201 Frequency 12 22 18 24 15 7 2
Exercise 6.2 | Q 7 | Page 228

In a study of dental problem, the following data were obtained.

 Ages 0 − 10 10 − 20 20 − 30 30 − 40 40 − 50 50 − 60 60 − 70 70 − 80 No. of patients 5 13 25 14 30 35 43 50

Represent the above data by a frequency polygon.

Exercise 6.2 | Q 8 | Page 228

The marks obtained by 50 students in Mathematics are given below.

(i) Make a frequency distribution table taking a class size of 10 marks

(ii) Draw a histogram and a frequency polygon.

 52 33 56 52 44 59 47 61 49 61 47 52 67 39 89 57 64 58 63 65 32 64 50 54 42 48 22 37 59 63 36 35 48 48 55 62 74 43 41 51 08 71 30 18 43 28 20 40 58 49

#### Objective Type Questions

Exercise 6.2 | Q 9 | Page 229

Data is a collection of ________

• numbers

• words

• measurements

• all the three

Exercise 6.2 | Q 10 | Page 229

The number of times an observation occurs in the given data is called ________

• tally marks

• data

• frequency

• none of these

Exercise 6.2 | Q 11 | Page 229

The difference between the largest value and the smallest value of the given data is ________

• range

• frequency

• variable

• none of these

Exercise 6.2 | Q 12 | Page 229

The data that can take values between a certain range is called ________

• ungrouped

• grouped

• frequency

• none of these

Exercise 6.2 | Q 13 | Page 229

Inclusive series is a _________ series

• continuous

• discontinuous

• both

• none of these

Exercise 6.2 | Q 14 | Page 229

In a class interval the upper limit of one class is the lower limit of the other class. This is _________ series

• Inclusive

• exclusive

• ungrouped

• none of these

Exercise 6.2 | Q 15 | Page 229

The graphical representation of ungrouped data is ________

• histogram

• frequency polygon

• pie chart

• all the three

Exercise 6.2 | Q 16 | Page 229

Histogram is a graph of a ________ frequency distribution

• continuous

• discontinuous

• discrete

• none of these

Exercise 6.2 | Q 17 | Page 229

A _________ is a line graph for the graphical representation of the continuous frequency distribution

• frequency polygon

• histogram

• pie chart

• bar graph

Exercise 6.2 | Q 18 | Page 229

The graphical representation of grouped data is _________

• bar graph

• pictograph

• pie chart

• histogram

Exercise 6.3 [Pages 229 - 230]

### Samacheer Kalvi solutions for Mathematics Class 8th Tamil Nadu State Board Chapter 6 Statistics Exercise 6.3 [Pages 229 - 230]

#### Miscellaneous Practice Problems

Exercise 6.3 | Q 1 | Page 229

Draw a pie chart for the given table

 Continent Asia Africa North America South America Europe Australia Antarctica Area 30% 20% 16% 12% 7% 6% 9%
Exercise 6.3 | Q 2 | Page 229

The data on modes of transport used by the students to come to school are given below. Draw a pie chart for the data

 Mode of transport Bus Cycle Walking Scooter Car Percentage of students 40% 30% 15% 10% 5%
Exercise 6.3 | Q 3 | Page 230

Draw a histogram for the given frequency distribution

 Age 41 − 45 46 − 50 51 − 55 56 − 60 61 − 65 66 − 70 71 − 75 Frequency 4 9 17 25 15 8 2
Exercise 6.3 | Q 4 | Page 230

Draw a histogram and the frequency polygon in the same diagram to represent the following data

 Weight (in kg) 50 − 55 56 − 61 62 − 67 68 − 73 74 − 79 80 − 85 86 − 91 No. of persons 15 8 12 17 9 10 6

#### Challenging problems

Exercise 6.3 | Q 5 | Page 230

Form a continuous frequency distribution table and draw histogram from the following data.

 Age (in years) No. of persons Under 5 1 Under 10 12 Under 15 19 Under 20 26 Under 25 27 Under 30 35 Under 35 38 Under 40 45 Under 45 48 Under 50 53
Exercise 6.3 | Q 6 | Page 230

A rupee spent in a cloth manufacturing company is distributed as follows. Represent this in a pie chart

 Particulars Paise Farmer 20 Spinner 35 Dyer 15 Weaver 15 Printer 05 Salary 10
Exercise 6.3 | Q 7 | Page 230

Draw a histogram for the following data.

 Mid Value (x) 15 25 35 45 55 65 75 Frequency (f) 12 24 30 18 26 10 8

## Chapter 6: Statistics

Exercise 6.1Exercise 6.2Exercise 6.3

## Samacheer Kalvi solutions for Mathematics Class 8th Tamil Nadu State Board chapter 6 - Statistics

Samacheer Kalvi solutions for Mathematics Class 8th Tamil Nadu State Board chapter 6 (Statistics) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the Tamil Nadu Board of Secondary Education Mathematics Class 8th Tamil Nadu State Board solutions in a manner that help students grasp basic concepts better and faster.

Further, we at Shaalaa.com provide such solutions so that students can prepare for written exams. Samacheer Kalvi textbook solutions can be a core help for self-study and acts as a perfect self-help guidance for students.

Concepts covered in Mathematics Class 8th Tamil Nadu State Board chapter 6 Statistics are Concept of Data Handling, Frequency Distribution Table, Organisation of Data, Concept of Pie Graph (Or a Circle-graph), Interpretation of Pie Diagram, Graphical Representation of Data as Histograms, Frequency Polygon.

Using Samacheer Kalvi Class 8th solutions Statistics exercise by students are an easy way to prepare for the exams, as they involve solutions arranged chapter-wise also page wise. The questions involved in Samacheer Kalvi Solutions are important questions that can be asked in the final exam. Maximum students of Tamil Nadu Board of Secondary Education Class 8th prefer Samacheer Kalvi Textbook Solutions to score more in exam.

Get the free view of chapter 6 Statistics Class 8th extra questions for Mathematics Class 8th Tamil Nadu State Board and can use Shaalaa.com to keep it handy for your exam preparation