#### Chapters

## Chapter 6: Statistics

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

#### Fill in the blanks:

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

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

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

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

Pie chart is a __________ graph

#### Say True or False:

Inclusive series is a continuous series

True

False

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

True

False

Media and business people use pie charts

True

False

A pie diagram is a circle broken down into component sectors

True

False

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

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

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?

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?

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?

How many students did not like red colour?

How many students liked pink or blue?

How many students were asked about their favourite colours?

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 |

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 |

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?

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

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

Identify the following data can be represented in a histogram?

Production of cycles in different years

Yes

No

Identify the following data can be represented in a histogram?

The number of students in each class of a school

Yes

No

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

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:

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

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

Histogram is a graphical representation of ___________ data

#### Answer the following questions

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?

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?

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?

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 |

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 |

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 |

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.

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

Data is a collection of ________

numbers

words

measurements

all the three

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

tally marks

data

frequency

none of these

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

range

frequency

variable

none of these

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

ungrouped

grouped

frequency

none of these

Inclusive series is a _________ series

continuous

discontinuous

both

none of these

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

The graphical representation of ungrouped data is ________

histogram

frequency polygon

pie chart

all the three

Histogram is a graph of a ________ frequency distribution

continuous

discontinuous

discrete

none of these

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

frequency polygon

histogram

pie chart

bar graph

The graphical representation of grouped data is _________

bar graph

pictograph

pie chart

histogram

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

#### Miscellaneous Practice Problems

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% |

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% |

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 |

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

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 |

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 |

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

## 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.

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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.

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