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
Answer:

Secondary(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

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

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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
Answer:

The data given is raw data.
Ascending order : 0, 1, 2, 3, 4, 5, 6∴ Tabulating in frequency distribution table we get

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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
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= \(\frac{338}{50}\) = 6.76
≅ 7The percentage difference calculator is here to help you compare two numbers.

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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? v
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.(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(vi) Total number of students = 500
500 students were asked about their favourite colour.

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Q.6A survey gives the following information of food items preferred by people. Draw a Pie chart. v
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°Food items are preferred by people.

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Q.8Monthly expenditure of Kumaran’s family is given below. Draw a suitable Pie chart. 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
Answer:

Monthly expenditure of kumaran’s family.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
= ₹ 80002. 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

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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
Answer:

Yes
(ii) Production of cycles in different years.
No(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

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

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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. (i) How many people use the cell phone for less than 3 hours?v
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

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

(D) all the three

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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
Answer:

(C) frequencyThis age difference calculator lets you quickly determine the age gap between two people.

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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
Answer:

(A) range

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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
Answer:

(B) grouped

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

(B) discontinuous

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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
Answer:

(B) exclusive

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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
Answer:

(C) pie chart

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

(A) continuous

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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
Answer:

(A) frequency polygon

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

(D) histogram

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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. v
Answer:

Converting the percentage into components parts of 360°. we haveMode of Transport by students.

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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
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

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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
Answer:

1 Rupee = 100 paise.Expenditure of a cloth manufacturing company.

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

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

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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
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:

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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
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 possibleApppbcnmxdfsmadnksa 5

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Next: Ch.7