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![Samacheer Kalvi solutions for Mathematics [English] Class 8 TN Board chapter 6 - Statistics Samacheer Kalvi solutions for Mathematics [English] Class 8 TN Board chapter 6 - Statistics - Shaalaa.com](/images/mathematics-english-class-8-tn-board_6:5f2b1b2038084cf381bfa42c826a928c.jpg)
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Solutions for Chapter 6: Statistics
Below listed, you can find solutions for Chapter 6 of Tamil Nadu Board of Secondary Education Samacheer Kalvi for Mathematics [English] Class 8 TN Board.
Samacheer Kalvi solutions for Mathematics [English] Class 8 TN Board 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?
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?
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?
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 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 [English] Class 8 TN Board 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 [English] Class 8 TN Board 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 |
Solutions for 6: Statistics
![Samacheer Kalvi solutions for Mathematics [English] Class 8 TN Board chapter 6 - Statistics Samacheer Kalvi solutions for Mathematics [English] Class 8 TN Board chapter 6 - Statistics - Shaalaa.com](/images/mathematics-english-class-8-tn-board_6:5f2b1b2038084cf381bfa42c826a928c.jpg)
Samacheer Kalvi solutions for Mathematics [English] Class 8 TN Board chapter 6 - Statistics
Shaalaa.com has the Tamil Nadu Board of Secondary Education Mathematics Mathematics [English] Class 8 TN Board Tamil Nadu Board of Secondary Education solutions in a manner that help students grasp basic concepts better and faster. The detailed, step-by-step solutions will help you understand the concepts better and clarify any confusion. Samacheer Kalvi solutions for Mathematics Mathematics [English] Class 8 TN Board Tamil Nadu Board of Secondary Education 6 (Statistics) include all questions with answers and detailed explanations. This will clear students' doubts about questions and improve their application skills while preparing for board exams.
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Concepts covered in Mathematics [English] Class 8 TN Board chapter 6 Statistics are Concept of Data Handling, Organisation of Data, Frequency Distribution Table, Concept of Pie Graph (Or a Circle-graph), Interpretation of Pie Diagram, Graphical Representation of Data as Histograms, Frequency Polygon.
Using Samacheer Kalvi Mathematics [English] Class 8 TN Board solutions Statistics exercise by students is an easy way to prepare for the exams, as they involve solutions arranged chapter-wise and also page-wise. The questions involved in Samacheer Kalvi Solutions are essential questions that can be asked in the final exam. Maximum Tamil Nadu Board of Secondary Education Mathematics [English] Class 8 TN Board students prefer Samacheer Kalvi Textbook Solutions to score more in exams.
Get the free view of Chapter 6, Statistics Mathematics [English] Class 8 TN Board additional questions for Mathematics Mathematics [English] Class 8 TN Board Tamil Nadu Board of Secondary Education, and you can use Shaalaa.com to keep it handy for your exam preparation.