Class 8 Maths · Chapter 6

Samacheer Class 8 Maths - Statistics

27 textbook Q&A27 verifiedFree Content

Chapter-wise textbook exercise answers for Statistics with validation-aware solutions.

Answers marked verified were checked during generation against the chapter context and source question text.
Sections in this chapter
Book Back Questions 27
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1Book Back Questions27 questions
Q.1Fill in the blanks: (i) Data has already been collected by some other person is ________ data.v
Solution

Secondary
Samacheer Kalvi 8th Maths Guide Chapter 6 Statistics Ex 6.1
(ii) The upper limit of the class interval (25-35) is ________ .
35
(iii) The range of the data 200, 15, 20, 103, 3, 196, is ________ .
197
(iv) If a class size is 10 and range is 80 then the number of classes are ________ .
8
(v) Pie chart is a ________ graph.
circular
Samacheer Kalvi 8th Maths Guide Chapter 6 Statistics Ex 6.1

Answer:

Secondary
Samacheer Kalvi 8th Maths Guide Chapter 6 Statistics Ex 6.1
(ii) The upper limit of the class interval (25-35) is ________ .
35
(iii) The range of the data 200, 15, 20, 103, 3, 196, is ________ .
197
(iv) If a class size is 10 and range is 80 then the number of classes are ________ .
8
(v) Pie chart is a ________ graph.
circular
Samacheer Kalvi 8th Maths Guide Chapter 6 Statistics Ex 6.1

Q.2Say True or False: (i) Inclusive series is a continuous series.v
Solution

False
(ii) Comparison of parts of a whole may be done by a pie chart.
True
(iii) Media and business people use pie charts.
True
(iv) A pie diagram is a circle broken down into component sectors.
True
Samacheer Kalvi 8th Maths Guide Chapter 6 Statistics Ex 6.1

Answer:

False
(ii) Comparison of parts of a whole may be done by a pie chart.
True
(iii) Media and business people use pie charts.
True
(iv) A pie diagram is a circle broken down into component sectors.
True
Samacheer Kalvi 8th Maths Guide Chapter 6 Statistics Ex 6.1

Q.3Represent 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, 4v
Solution

The data given is raw data.
Ascending order : 0, 1, 2, 3, 4, 5, 6
Samacheer Kalvi 8th Maths Guide Answers Chapter 6 Statistics Ex 6.1 1
∴ Tabulating in frequency distribution table we get
Samacheer Kalvi 8th Maths Guide Answers Chapter 6 Statistics Ex 6.1 2
Samacheer Kalvi 8th Maths Guide Chapter 6 Statistics Ex 6.1

Answer:

The data given is raw data.
Ascending order : 0, 1, 2, 3, 4, 5, 6
Samacheer Kalvi 8th Maths Guide Answers Chapter 6 Statistics Ex 6.1 1
∴ Tabulating in frequency distribution table we get
Samacheer Kalvi 8th Maths Guide Answers Chapter 6 Statistics Ex 6.1 2
Samacheer Kalvi 8th Maths Guide Chapter 6 Statistics Ex 6.1

Q.4Form 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.v
Solution

Maximum mark obtained = 495
Minimum marks obtained = 157
Range = Maximum value – Minimum value
Range = 495 – 157
= 338
If we take the class size as 50 then the number of class intervals possible
Samacheer Kalvi 8th Maths Guide Answers Chapter 6 Statistics Ex 6.1 3
= \(\frac{338}{50}\) = 6.76
≅ 7
Samacheer Kalvi 8th Maths Guide Chapter 6 Statistics Ex 6.1
The percentage difference calculator is here to help you compare two numbers.

Answer:

Maximum mark obtained = 495
Minimum marks obtained = 157
Range = Maximum value – Minimum value
Range = 495 – 157
= 338
If we take the class size as 50 then the number of class intervals possible
Samacheer Kalvi 8th Maths Guide Answers Chapter 6 Statistics Ex 6.1 3
= \(\frac{338}{50}\) = 6.76
≅ 7
Samacheer Kalvi 8th Maths Guide Chapter 6 Statistics Ex 6.1
The percentage difference calculator is here to help you compare two numbers.

Q.5A 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. (i) What percentage of the students like red colour? (ii) How many students liked green colour? (iii) What fraction of the students liked blue? (iv) How many students did not like red colour? (v) How many students liked pink or blue? (vi) How many students were asked about their favourite colours? Samacheer Kalvi 8th Maths Guide Answers Chapter 6 Statistics Ex 6.1 5v
Solution

Total percentage of students = 100 %
∴ 50students = 100% – (30% + 20% + 25% + 15%)
= 100% – 90%
50 students = 10%
10% of total students = 50
∴ \(\frac { 10 }{ 100 }\) (Total students) = 50
Total students = \(\frac{50 \times 100}{10}\) = 500.
Total students = 500.
(i) 20% of the students like red colour.
(ii) 15% of the students liked green colour.
\(\frac{15}{100}\) × 500 = 75 students liked green colour.
Samacheer Kalvi 8th Maths Guide Chapter 6 Statistics Ex 6.1
(iii) 25% students liked blue students liked blue.
⇒ \(\frac{25}{100}\) students liked blue.
⇒ \(\frac{1}{4}\) students liked blue.
(iv) Percentage of students liked red colour
= 20%
Percentage of students did not like red colour
= 100% – 20%
= 80%
∴ Number of students did not like red colour
= 80% of 500
= \(\frac{80}{100}\) × 500 = 400
400 students did not like red colour.
(v) Students liked pink or blue = students liked pink + students liked blue.
= 30% of 500 + 25% of 500
= \(\frac{30}{100}\) × 500 + \(\frac{25}{100}\) × 500
= 150 + 125
= 275
Samacheer Kalvi 8th Maths Guide Chapter 6 Statistics Ex 6.1
(vi) Total number of students = 500
500 students were asked about their favourite colour.
Samacheer Kalvi 8th Maths Guide Answers Chapter 6 Statistics Ex 6.1 6

Answer:

Total percentage of students = 100 %
∴ 50students = 100% – (30% + 20% + 25% + 15%)
= 100% – 90%
50 students = 10%
10% of total students = 50
∴ \(\frac { 10 }{ 100 }\) (Total students) = 50
Total students = \(\frac{50 \times 100}{10}\) = 500.
Total students = 500.
(i) 20% of the students like red colour.
(ii) 15% of the students liked green colour.
\(\frac{15}{100}\) × 500 = 75 students liked green colour.
Samacheer Kalvi 8th Maths Guide Chapter 6 Statistics Ex 6.1
(iii) 25% students liked blue students liked blue.
⇒ \(\frac{25}{100}\) students liked blue.
⇒ \(\frac{1}{4}\) students liked blue.
(iv) Percentage of students liked red colour
= 20%
Percentage of students did not like red colour
= 100% – 20%
= 80%
∴ Number of students did not like red colour
= 80% of 500
= \(\frac{80}{100}\) × 500 = 400
400 students did not like red colour.
(v) Students liked pink or blue = students liked pink + students liked blue.
= 30% of 500 + 25% of 500
= \(\frac{30}{100}\) × 500 + \(\frac{25}{100}\) × 500
= 150 + 125
= 275
Samacheer Kalvi 8th Maths Guide Chapter 6 Statistics Ex 6.1
(vi) Total number of students = 500
500 students were asked about their favourite colour.
Samacheer Kalvi 8th Maths Guide Answers Chapter 6 Statistics Ex 6.1 6

Q.6A survey gives the following information of food items preferred by people. Draw a Pie chart. Samacheer Kalvi 8th Maths Guide Answers Chapter 6 Statistics Ex 6.1 7v
Solution

Total number of people = 160 + 90 + 80 + 50 + 30 + 40 = 450
Converting the number of people prefer various food items into components part of 360°
Samacheer Kalvi 8th Maths Guide Answers Chapter 6 Statistics Ex 6.1 8
Samacheer Kalvi 8th Maths Guide Answers Chapter 6 Statistics Ex 6.1 9
Food items are preferred by people.
Samacheer Kalvi 8th Maths Guide Answers Chapter 6 Statistics Ex 6.1 10
Samacheer Kalvi 8th Maths Guide Chapter 6 Statistics Ex 6.1

Answer:

Total number of people = 160 + 90 + 80 + 50 + 30 + 40 = 450
Converting the number of people prefer various food items into components part of 360°
Samacheer Kalvi 8th Maths Guide Answers Chapter 6 Statistics Ex 6.1 8
Samacheer Kalvi 8th Maths Guide Answers Chapter 6 Statistics Ex 6.1 9
Food items are preferred by people.
Samacheer Kalvi 8th Maths Guide Answers Chapter 6 Statistics Ex 6.1 10
Samacheer Kalvi 8th Maths Guide Chapter 6 Statistics Ex 6.1

Q.8Monthly expenditure of Kumaran’s family is given below. Draw a suitable Pie chart. Samacheer Kalvi 8th Maths Guide Answers Chapter 6 Statistics Ex 6.1 14 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?v
Solution

Samacheer Kalvi 8th Maths Guide Answers Chapter 6 Statistics Ex 6.1 15
Monthly expenditure of kumaran’s family.
Samacheer Kalvi 8th Maths Guide Answers Chapter 6 Statistics Ex 6.1 16
1. Given Kumaran spends ₹ 6000 for Rent.
∴ 15% of’ total expenditure = 6000
\(\frac{15}{100}\) (Total Expenditure) = 6000
Total Expenditure = \(\frac{6000 \times 100}{15}\)
Total Expenditure = ₹ 40,000
Amount spend l’or education = 20% of total expenditure.
\(\frac{20}{100}\) × 40,000
= ₹ 8000
Samacheer Kalvi 8th Maths Guide Chapter 6 Statistics Ex 6.1
2. Total salary of Kumaran = ₹ 40,000
3. Amount spend for food = 50% of (40,000)
Amount spend for the food than education
= 20,000 – 8,000
= ₹ 12,000
Posted in Class 8 on January 5, 2025 January 6, 2025
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Answer:

Samacheer Kalvi 8th Maths Guide Answers Chapter 6 Statistics Ex 6.1 15
Monthly expenditure of kumaran’s family.
Samacheer Kalvi 8th Maths Guide Answers Chapter 6 Statistics Ex 6.1 16
1. Given Kumaran spends ₹ 6000 for Rent.
∴ 15% of’ total expenditure = 6000
\(\frac{15}{100}\) (Total Expenditure) = 6000
Total Expenditure = \(\frac{6000 \times 100}{15}\)
Total Expenditure = ₹ 40,000
Amount spend l’or education = 20% of total expenditure.
\(\frac{20}{100}\) × 40,000
= ₹ 8000
Samacheer Kalvi 8th Maths Guide Chapter 6 Statistics Ex 6.1
2. Total salary of Kumaran = ₹ 40,000
3. Amount spend for food = 50% of (40,000)
Amount spend for the food than education
= 20,000 – 8,000
= ₹ 12,000
Posted in Class 8 on January 5, 2025 January 6, 2025
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Q.1Which of the following data can be represented in a histogram? (i) The number of mountain climbers in the age group 20 to 60 in TamilNadu.v
Solution

Yes
(ii) Production of cycles in different years.
No
Samacheer Kalvi 8th Maths Guide Chapter 6 Statistics Ex 6.2
(iii) The number of students in each class of a school.
No
(iv) The number votes polled from 7 am to 6 pm in an election.
Yes
(v) The wickets fallen from 1 over to 50th over in a one day cricket match.
Yes
Samacheer Kalvi 8th Maths Guide Chapter 6 Statistics Ex 6.2

Answer:

Yes
(ii) Production of cycles in different years.
No
Samacheer Kalvi 8th Maths Guide Chapter 6 Statistics Ex 6.2
(iii) The number of students in each class of a school.
No
(iv) The number votes polled from 7 am to 6 pm in an election.
Yes
(v) The wickets fallen from 1 over to 50th over in a one day cricket match.
Yes
Samacheer Kalvi 8th Maths Guide Chapter 6 Statistics Ex 6.2

Q.2Fill in the blanks: (i) The total area of the histogram is _________ to the total frequency of the given data.v
Solution

proportional
(ii) A graph that displays data that changes continuously over the periods of time is _________ .
Histogram
(iii) Histogram is a graphical representation of_________ data.
grouped
Samacheer Kalvi 8th Maths Guide Chapter 6 Statistics Ex 6.2

Answer:

proportional
(ii) A graph that displays data that changes continuously over the periods of time is _________ .
Histogram
(iii) Histogram is a graphical representation of_________ data.
grouped
Samacheer Kalvi 8th Maths Guide Chapter 6 Statistics Ex 6.2

Q.3In 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. Answer the following questions. Samacheer Kalvi 8th Maths Guide Answers Chapter 6 Statistics Ex 6.2 1 (i) How many people use the cell phone for less than 3 hours?v
Solution

330 people (110 + 220)
(ii) How many of them use the cell phone for more than 5 hours?
150 of them (100 + 50)
(iii) Are people using cell phone for less than 1 hour?
No
Samacheer Kalvi 8th Maths Guide Chapter 6 Statistics Ex 6.2

Answer:

330 people (110 + 220)
(ii) How many of them use the cell phone for more than 5 hours?
150 of them (100 + 50)
(iii) Are people using cell phone for less than 1 hour?
No
Samacheer Kalvi 8th Maths Guide Chapter 6 Statistics Ex 6.2

Q.9Data is a collection of _________v
  1. A. numbers
  2. B. words
  3. C. measurements
  4. D. all the three
Solution

(D) all the three

Answer:

(D) all the three

Q.10The number of times an observation occurs in the given data is called _________v
  1. A. tally marks
  2. B. data
  3. C. frequency
  4. D. none of these
Solution

(C) frequency
Samacheer Kalvi 8th Maths Guide Chapter 6 Statistics Ex 6.2
This age difference calculator lets you quickly determine the age gap between two people.

Answer:

(C) frequency
Samacheer Kalvi 8th Maths Guide Chapter 6 Statistics Ex 6.2
This age difference calculator lets you quickly determine the age gap between two people.

Q.11The difference between the largest value and the smallest value of the given data is ________v
  1. A. range
  2. B. frequency
  3. C. variable
  4. D. none of these
Solution

(A) range

Answer:

(A) range

Q.12The data that can take values between a certain range is called_________v
  1. A. ungrouped
  2. B. grouped
  3. C. frequency
  4. D. none of these
Solution

(B) grouped
Samacheer Kalvi 8th Maths Guide Chapter 6 Statistics Ex 6.2

Answer:

(B) grouped
Samacheer Kalvi 8th Maths Guide Chapter 6 Statistics Ex 6.2

Q.13Inclusive series is a _________series.v
  1. A. continuous
  2. B. discontinuous
  3. C. both
  4. D. none of these
Solution

(B) discontinuous

Answer:

(B) discontinuous

Q.14In a class interval the upper limit of one class is the lower limit of the other class. This is _________ series.v
  1. A. Inclusive
  2. B. exclusive
  3. C. ungrouped
  4. D. none of these
Solution

(B) exclusive
Samacheer Kalvi 8th Maths Guide Chapter 6 Statistics Ex 6.2

Answer:

(B) exclusive
Samacheer Kalvi 8th Maths Guide Chapter 6 Statistics Ex 6.2

Q.15The graphical representation of ungrouped data is ________v
  1. A. histogram
  2. B. frequency polygon
  3. C. pie chart
  4. D. all the three
Solution

(C) pie chart

Answer:

(C) pie chart

Q.16Histogram is a graph of a ________ frequency distribution.v
  1. A. continuous
  2. B. discontinuous
  3. C. discrete
  4. D. none of these
Solution

(A) continuous
Samacheer Kalvi 8th Maths Guide Chapter 6 Statistics Ex 6.2

Answer:

(A) continuous
Samacheer Kalvi 8th Maths Guide Chapter 6 Statistics Ex 6.2

Q.17A _________ is a line graph for the graphical representation of the continuous frequency distribution.v
  1. A. frequency polygon
  2. B. histogram
  3. C. pie chart
  4. D. bar graph
Solution

(A) frequency polygon

Answer:

(A) frequency polygon

Q.18The graphical representation of grouped data is _________v
  1. A. bar graph
  2. B. pictograph
  3. C. pie chart
  4. D. histogram
Solution

(D) histogram
Posted in Class 8 on January 5, 2025 January 6, 2025
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Answer:

(D) histogram
Posted in Class 8 on January 5, 2025 January 6, 2025
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Q.2The data on modes of transport used by the students to come to school are given below. Draw a pie chart for the data. Samacheer Kalvi 8th Maths Guide Answers Chapter 6 Statistics Ex 6.3 4v
Solution

Converting the percentage into components parts of 360°. we have
Samacheer Kalvi 8th Maths Guide Answers Chapter 6 Statistics Ex 6.3 5
Mode of Transport by students.
Samacheer Kalvi 8th Maths Guide Answers Chapter 6 Statistics Ex 6.3 6
Samacheer Kalvi 8th Maths Guide Chapter 6 Statistics Ex 6.3

Answer:

Converting the percentage into components parts of 360°. we have
Samacheer Kalvi 8th Maths Guide Answers Chapter 6 Statistics Ex 6.3 5
Mode of Transport by students.
Samacheer Kalvi 8th Maths Guide Answers Chapter 6 Statistics Ex 6.3 6
Samacheer Kalvi 8th Maths Guide Chapter 6 Statistics Ex 6.3

Q.5Form 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 53v
Solution

Converting into continuous distribution we have
Class interval
No. of persons
0 – 5
1
5 – 10
11
10 – 15
7
15 – 20
7
20 – 25
1
25 – 30
8
30 – 35
3
35 – 40
7
40 – 45
3
45 – 50
5
Total
53
Samacheer Kalvi 8th Maths Guide Answers Chapter 6 Statistics Ex 6.3 13
Samacheer Kalvi 8th Maths Guide Chapter 6 Statistics Ex 6.3

Answer:

Converting into continuous distribution we have
Class interval
No. of persons
0 – 5
1
5 – 10
11
10 – 15
7
15 – 20
7
20 – 25
1
25 – 30
8
30 – 35
3
35 – 40
7
40 – 45
3
45 – 50
5
Total
53
Samacheer Kalvi 8th Maths Guide Answers Chapter 6 Statistics Ex 6.3 13
Samacheer Kalvi 8th Maths Guide Chapter 6 Statistics Ex 6.3

Q.6A 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 10v
Solution

1 Rupee = 100 paise.
Samacheer Kalvi 8th Maths Guide Answers Chapter 6 Statistics Ex 6.3 14
Expenditure of a cloth manufacturing company.
Samacheer Kalvi 8th Maths Guide Answers Chapter 6 Statistics Ex 6.3 15
Samacheer Kalvi 8th Maths Guide Chapter 6 Statistics Ex 6.3

Answer:

1 Rupee = 100 paise.
Samacheer Kalvi 8th Maths Guide Answers Chapter 6 Statistics Ex 6.3 14
Expenditure of a cloth manufacturing company.
Samacheer Kalvi 8th Maths Guide Answers Chapter 6 Statistics Ex 6.3 15
Samacheer Kalvi 8th Maths Guide Chapter 6 Statistics Ex 6.3

Q.1Arrange the given data in ascending and descending order: 9, 34, 4, 13, 42, 10, 25, 7, 31, 4, 40v
Solution

Ascending order: 4, 4, 7, 9, 10, 13, 25, 31, 34, 40, 42.
Descending order: 42, 40, 34, 31, 25, 13, 10, 9, 7, 4, 4
Samacheer Kalvi 8th Maths Guide Chapter 6 Statistics InText Questions

Answer:

Ascending order: 4, 4, 7, 9, 10, 13, 25, 31, 34, 40, 42.
Descending order: 42, 40, 34, 31, 25, 13, 10, 9, 7, 4, 4
Samacheer Kalvi 8th Maths Guide Chapter 6 Statistics InText Questions

Q.2Find the_range of the given data: 53, 42,61, 9, 39, 63, 14, 20,06, 26, 31, 4, 57v
Solution

Ascending order of the given data:
4, 6, 9, 14, 20, 26, 31, 39, 42, 53, 57, 61, 63
Here largest value = 63
Smallest value = 4
∴ Range = Largest value – smallest value
= 63 – 4 = 59
Try These (Text Book page No. 217)

Answer:

Ascending order of the given data:
4, 6, 9, 14, 20, 26, 31, 39, 42, 53, 57, 61, 63
Here largest value = 63
Smallest value = 4
∴ Range = Largest value – smallest value
= 63 – 4 = 59
Try These (Text Book page No. 217)

Q.1Prepare a frequency table for the data: 3, 4, 2, 4, 5, 6, 1, 3, 2, 1, 5, 3, 6, 2, 1, 3, 2, 4v
Solution

Ascending order of the given data.
1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6
The distribution table:
Data
Tally marks
Frequency
1
|||
3
2
||||
4
3
||||
4
4
|||
3
5
||
2
6
||
2
∴ Frequency Table:
Samacheer Kalvi 8th Maths Guide Answers Chapter 6 Statistics InText Questions 1
Samacheer Kalvi 8th Maths Guide Chapter 6 Statistics InText Questions

Answer:

Ascending order of the given data.
1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6
The distribution table:
Data
Tally marks
Frequency
1
|||
3
2
||||
4
3
||||
4
4
|||
3
5
||
2
6
||
2
∴ Frequency Table:
Samacheer Kalvi 8th Maths Guide Answers Chapter 6 Statistics InText Questions 1
Samacheer Kalvi 8th Maths Guide Chapter 6 Statistics InText Questions

Q.2Prepare a grouped frequency table for the data: 10, 9, 3, 29, 17, 34, 23, 20, 39, 42, 5, 12, 19, 47, 18, 19, 27, 7, 13, 40, 38, 24,34,15,40v
Solution

Largest value = 47
Smallest value = 3
Range = Largest value – Smallest value
= 47 – 3 = 44
Suppose we take class size as 10, then Number of class intervals possible
Samacheer Kalvi 8th Maths Guide Answers Chapter 6 Statistics InText Questions 2
Apppbcnmxdfsmadnksa 5
Samacheer Kalvi 8th Maths Guide Answers Chapter 6 Statistics InText Questions 3
Posted in Class 8 on September 20, 2024 September 21, 2024
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Answer:

Largest value = 47
Smallest value = 3
Range = Largest value – Smallest value
= 47 – 3 = 44
Suppose we take class size as 10, then Number of class intervals possible
Samacheer Kalvi 8th Maths Guide Answers Chapter 6 Statistics InText Questions 2
Apppbcnmxdfsmadnksa 5
Samacheer Kalvi 8th Maths Guide Answers Chapter 6 Statistics InText Questions 3
Posted in Class 8 on September 20, 2024 September 21, 2024
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