Class 8 Maths Chapter 4 HOTS Questions - Data Handling

Q1: According to above histogram, which group has the maximum number of workers?

(a) 810
(b) 820
(c) 830
(d) 840
Ans: c
Sol: From the given histogram,
800−810 rupees was given to 3 workers,
810−820 rupees was given to 2 workers,
820−830 rupees was given to 1 workers,
830−840 rupees was given to 9 workers,
840−850 rupees was given to 5 workers,
850−860 rupees was given to 1 workers,
860−870 rupees was given to 3 workers,
870−880 rupees was given to 1 workers,
880−890 rupees was given to 1 workers,
890−900 rupees was given to 4 workers.
Hence, 830−840 rupees was given to maximum number of workers, i.e. 9.
Therefore, 830 group has the maximum number of workers.
Thus, option C is correct.

Q2: When a die is thrown, list the outcomes of an event of getting : not a prime. 
(a) 2,3,5 
(b) 1,4,6 
(c) 1,2,5
(d) 1,3,6
Ans: b
Sol: Step -1: Sample space of throwing a die.
A die has a total of six faces,
Therefore when a die is thrown, the total number of possible outcomes are,
S=1, 2, 3, 4, 5, 6
Step -2: Outcomes of the given event.
Numbers which are divisible only by themselves and 1 are called prime numbers,
From the sample space of a die, prime numbers are, 2, 3 and 5
Therefore, List of outcomes of an event getting: not a prime,
E = 1, 4, 6
Hence option B is correct.

Q3: A histrogram consists of
(a) sectors
(b) rectangles
(c) triangle
(d) squares
Ans: b
Sol: A histogram is an area diagram. It can be defined as a set of rectangles with bases along with the intervals between class boundaries and with areas proportional to frequencies in the corresponding classes.

Q4: Refer the pie chart and answer. To show the distribution of proteins and other dry elements in the human body, the arc of the circle should subtend at the center an angle of:

(a) 120^∘
(b) 54^∘
(c) 108^∘
(d) 252^∘
Ans: c
Sol: Percentage of proteins and other dry elements in the body is (16%+14%) which is equal to 30%
∴ Central angle corresponding to proteins and other dry elements together  = 30% of 360^∘
⇒ 30/100 × 360
= 180^∘

Q5: Which of the following graphs should be used to represent the percentage of boys and girls in a class?
(a) Bar graph
(b) Pie chart
(c) Line graph
(d) Venn diagram
Ans: b
Sol: Pie chart. It is a type of graph in which a circle is divided into sectors such that each represents a proportion of the whole. Percentage is usually represented with the help of these sectors.

Q6: How many less letters were collected on Wednesday than on Tuesday?
(a) 40
(b) 30
(c) 20
(d) 10
Ans: d
Sol: Given that one square box represents 10 letters.
On Tuesday there are 5 boxes.
Therefore, number of letters collected on Tuesday are 10 × 5 = 50
On Wednesday there are 4 boxes.
Therefore, number of letters collected on Wednesday are 10 × 4 = 40
There are 50−40=10 letters less on Wednesday than on Tuesday.

Q7: The given pie chart shoes the marks scored by a student in five different subjects English Hindi Mathematics Science and Social Science Assuming that the total marks obtained for the examination are 540 Find the subject in which the student scored 22.2% marks

(a) Hindi
(b) Science
(c) Social Science
(d) English
Ans: b
Sol: Calculating the percentage of marks in different subjects we get
Hindi = 70^∘/360^∘ × 100 = 19.4%
Science = 80^∘/360^∘ × 100 = 22.2%
Social Science = 65^∘/360^∘ × 100 = 18.1% 
English = 55^∘/360^∘ × 100 = 15.28%

Q8: The horizontal line in a bar graph is called: 
(a) x-axis  
(b) y-axis 
(c) Imaginary axis 
(d) None of these
Ans: a
Sol: In the Cartesian coordinate system, the horizontal reference line is called x-axis. Therefore, the horizontal line in a bar graph is called x-axis. Hence, option A is correct.

Q9: The bar graph shows the number of cakes sold at a shop in four days. What is the difference in number of cakes between the highest and the lowest daily sale?

(a) 20
(b) 35
(c) 30
(d) 40
Ans: a
Sol: From the above bar graph, the  highest number of cakes sold is 45 (i.e., on Sunday). and the lowest number of cakes sold is 25 (i.e., on Monday). 
Therefore, the difference between the highest and lowest number of cakes =45−25=20. 
Hence, option A is correct.

Q10: Which of the following is an outcome? 
(a) Rolling a pair of dice 
(b) Landing on red 
(c) Choosing 2 marbles from a jar 
(d) None of the above
Ans: b
Sol: An outcome is the result of a single trial of an experiment. 
A. Rolling a pair dice is an experiment that results in 36 possible outcomes. 
B. Landing on red is an outcome as after performing an experiment, the result can be landing on red. 
C. Choosing 2 marbles from a jar cannot be an outcome, because it is not known how many balls are there,  but it can be an experiment.

Q11: How many boys attended the 1995 convention?

(a) 358
(b) 390
(c) 407
(d) 540
Ans: a
Sol: Total no. of people who attended the Nation Youth Convention in 1955 = 716
From the graph we can see that,
Percentage of boys who attended in 1995 = 50%
∴ No. of boys who attended in 1995 = 50/100 × 716 = 358

Q12: If the four regions shown in the graph above are the only regions in Town T, the total of which two regions accounts for exactly 70 percent of all cable television subscribers in Town T?
(a) Regions M and N
(b) Regions M and O
(c) Regions N and O
(d) Regions N and P
Ans: a
Sol: According to the graph,
The number of subscribers in region M is 3000.
The number of subscribers in region N is 4000.
The number of subscribers in region O is 1000.
The number of subscribers in region P is 2000.
We can see that number of subscribers in combined region of regions M and N is 3000+4000=7000
We can see that number of subscribers in combined region of regions M , N, O, P is 3000 + 4000 + 1000 + 2000 = 10000.
Therefore Region M+ Region N subscribers = 70 percent of total subscribers.
So, the correct option is A.