Exercise 6.1 - Chapter 6 Statistics 8th Maths Guide Samacheer Kalvi Solutions - SaraNextGen [2024-2025]

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On April 24, 2024, 11:35 AM

Ex $6.1$ : Chapter 6 - Statistics - 8th Maths Guide Samacheer Kalvi Solutions
Question 1.
Fill in the blanks:
(i) Data has already been collected by some other person is ___data.
Answer:
Secondary
(ii) The upper limit of the class interval (25-35) is
Answer:
35
(iii) The range of the data $200,15,20,103,3,196$, is
Answer:
197
(iv) If a class size is 10 and range is 80 then the number of classes are
Answer:
8
(v) Pie chart is a ___graph.
Answer:
circular

Question 2.
Say True or False:
(i) Inclusive series is a continuous series.
Answer:
False

(ii) Comparison of parts of a whole may be done by a pie chart.
Answer:
True
(iii) Media and business people use pie charts.
Answer:
True
(iv) A pie diagram is a circle broken down into component sectors.
Answer:
True

Question $3 .$
Represent the following data in ungrouped frequency table which gives the number of children in 25 families.
$1,3,0,2,5,2,3,4,1,0,5,4,3,1,3,2,5,2,1,1,2,6,2,1,4$

Answer:
The data given is raw data.
Ascending order : $0,1,2,3,4,5,6$

Question $4 .$
Form a continuous frequency distribution table for the marks obtained by 30 students in a $X$ std public examination.
If we take the class size as 50 then the number of class intervals possible
$\begin{aligned}
&=\frac{\text { Range }}{\text { Class size }} \\
&=\frac{338}{50}=6.76 \\
&\cong 7
\end{aligned}$

Question $5 .$
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.
(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?

Answer:
(i) $20 \%$ of the students like red colour.
(ii) $15 \%$ of the students liked green colour.
$\frac{15}{100} \times 500=75$ students liked green colour.
(iii) $25 \%$ students liked blue students liked blue.
$\Rightarrow \frac{25}{100}$ students liked blue.
$\Rightarrow \frac{1}{4}$ students liked blue.
(iv) Percentage of students liked red colour $=20 \%$
Percentage of students did not like red colour
$=100 \%-20 \%$
$=80 \%$

$\therefore$ Number of students did not like red colour
$=80 \%$ of 500
$=\frac{80}{100} \times 500=400$
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
$=\frac{30}{100} \times 500+\frac{25}{100} \times 500$
$=150+125$
$=275$
(vi) Total number of students $=500$
500 students were asked about their favourite colour.

Question $6 .$
A survey gives the following information of food items preferred by people. Draw a Pie chart.
$\text { Central angle of a component }=\frac{\text { Value of the component }}{\text { Total value }} \times 360$
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 $360^{\circ}$

Question 7.

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

Answer:

Question 8.

Monthly 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?

Answer:

1. Given Kumaran spends ₹ 6000 for Rent.
$\therefore 15 \%$ 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.
$\begin{aligned}
&\frac{20}{100} \times 40,000 \\
&=₹ 8000
\end{aligned}$
2. Total salary of Kumaran $=₹ 40,000$
3. Amount spend for food $=50 \%$ of $(40,000)$
Amount spend for the food than education
$\begin{aligned}
&=20,000-8,000 \\
&=₹ 12,000
\end{aligned}$