Exercise 6.2 - Chapter 6 Statistics 8th Maths Guide Samacheer Kalvi Solutions - SaraNextGen [2024-2025]

Updated By SaraNextGen

On April 24, 2024, 11:35 AM

Ex $6.2$
Question $1 .$
Which 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.
Answer:
Yes
(ii) Production of cycles in different years.
Answer:
No
(iii) The number of students in each class of a school.
Answer:
No
(iv) The number votes polled from 7 am to $6 \mathrm{pm}$ in an election.
Answer:
Yes
(v) The wickets fallen from 1 over to 50 th over in a one day cricket match.
Answer:
Yes

Question $2 .$
Fill in the blanks:
(i) The total area of the histogram is ____ to the total frequency of the given data.
Answer:
proportional
(ii) A graph that displays data that changes continuously over the periods of time is
Answer:
Histogram
(iii) Histogram is a graphical representation of ____ data.
Answer:
grouped

Question $3 .$
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. Answer the following questions.

(i) How many people use the cell phone for less than 3 hours?
Answer:
330 people $(110+220)$
(ii) How many of them use the cell phone for more than 5 hours?
Answer:
150 of them $(100+50)$
(iii) Are people using cell phone for less than 1 hour?
Answer:
No

Question $4 .$
Draw a histogram for the following data.

Answer:

The given (tata IS continuous frequency distribution taking class intervals on X axis and No. of students on Y-axis, the histogram is given below

Question $5 .$
Construct a histogram from the following distribution of total marks of 40 students in a class.

Answer:
The given distribution is continuous taking marks on $\mathrm{X}$ axis and No. of students on $\mathrm{Y}$-axis the histogram is constructed.

Question $6 .$
The distribution of heights (in cm) of loo people is given below. Construct a histogram and the frequency polygon imposed on it.

Answer:
The given distribution is discontinuous.
Converting into continuous distribution we have
Lower boundary $=$ lower limit $-\frac{1}{2}$ (gap between adjacent class interval) $=125-\frac{1}{2}(1)=124.5$
Upper boundary $=$ Upper limit $+\frac{1}{2}$ (gap between the adjacent class interval) $=135+\frac{1}{2}=135.5$
$\therefore$ The new frequency table is

Question $7 .$
In a study of dental problem, the following data were obtained.

Represent the above data by a frequency polygon.
Answer:
Finding the midpoints of the class interval we get.

The points tobe plotted are $\mathrm{A}(5,5), \mathrm{B}(15,13), \mathrm{C}(25,25), \mathrm{D}(35,14), \mathrm{E}(45,30), \mathrm{G}(65,43 .), \mathrm{H}(75,50)$ to obtain the frequency polygon ZABCDEFGH1.
Where I imagined class between 80 and 90 .

Question 8.

The marks obtained by 50 students in Mathematics are given below (j) Make a frequency distribution table taking a class size of 10 marks (ii) Draw a histogram and a

frequency polygon.

Answer:
Maximum marks obtained $=89$
Minimum marks obtained $=08$
Range = Maximum marks - Minimim marks
$=89-08$
$=81$
Taking the class size $=10$, then
Number of possible intervals $=\frac{\text { Range }}{\text { Class size }}$ $=\frac{81}{10}=8.1=9$

Objective Type Questions
Question $9 .$
Data is a collection of
(A) numbers
(B) words
(C) measurements
(D) all the three
Answer:
(D) all the three
 

Question 10 .
The number of times an observation occurs in the given data is called
(A) tally marks
(B) data
(C) frequency
(D) none of these
Answer:
(C) frequency

Question $11 .$
The difference between the largest value and the smallest value of the given data is
(A) range
(B) frequency
(C) variable
(D) none of these
Answer:
(A) range

Question $12 .$
The data that can take values between a certain range is called
(A) ungrouped
(B) grouped
(C) frequency
(D) none of these
Answer:
(B) grouped

Question 13.
Inclusive series is a ____series.
(A) continuous
(B) discontinuous
(C) both
(D) none of these
Answer:
(B) discontinuous

Question 14.
In a class interval the upper limit of one class is the lower limit of the other class. This is ____series.
(A) Inclusive
(B) exclusive
(C) ungrouped
(D) none of these
Answer:
(B) exclusive

Question $15 .$
The graphical representation of ungrouped data is
(A) histogram
(B) frequency polygon
(C) pic chart
(D) all the three
Answer:
(C) pic chart

Question $16 .$
Histogram is a graph of a____ frequency distribution.

(A) continuous
(B) discontinuous
(C) discrete
(D) none of these
Answer:
(A) continuous

Question $17 .$
A ___ is a line graph for the graphical representation of the continuous frequency distribution.
(A) frequency polygon
(B) histogram
(C) pie chart
(D) bar graph
Answer:
(A) frequency polygon

Question $18 .$
The graphical representation of grouped data is
(A) bar graph
(B) pictograph
(C) pie chart
(D) histogram
Answer:
(D) histogram