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Practice each question, then open the answer or worked solution.
Listed below are the temperature in oC for 10 days.
–6, –8, 0, 3, 2, 0, 1, 5, 4, 4
What is the range of the data?
Solution:-
(a) 8 (b) 13oC (c) 10oC (d) 12oC
Solution:-
(b) 13oC
The difference between the lowest and the highest observation in a given data is called its Range.
Then, Range = Highest observation – Lowest observation
= 5 – (-8)
= 5 + 8
= 13oC
Ram put some buttons on the table. There were 4 blue, 7 red, 3 black and 6 white buttons in all. All of a sudden, a cat jumped on the table and knocked out one button on the floor. What is the probability that the button on the floor is blue?
(a) 7/20 (b) 3/5 (c) 1/5 (d) ¼
Solution:-
(c) 1/5
Probability = Number of blue buttons on the table / Total number of buttons on the
table
= 4/20 … [divide both numerator and denominator by 4]
= 1/5
Rahul, Varun and Yash are playing a game of spinning a coloured wheel. Rahul wins if spinner lands on red. Varun wins if spinner lands on blue and Yash wins if it lands on green. Which of the following spinner should be used to make the game fair?
(a) (i) (b) (ii) (c) iii (d) (iv)
Solution:-
(d) (iv) this figure contains equal share for three colours.
In a frequency distribution with classes 0 –10, 10 –20 etc., the size of the class intervals is 10. The lower limit of fourth class is
(a) 40 (b) 50 (c) 20 (d) 30
Solution:-
(d) 30
The lower value of the class interval is called its Lower Class Limit.
First class = 0 -10
Second class = 10 – 20
Third class = 20 – 30
Fourth class = 30 – 40
Fifth class = 40 – 50
and Tenth class = 90 – 100
A coin is tossed 200 times, and the head appeared 120 times. The probability of getting a head in this experiment is
(a) 2/5 (b) 3/5 (c) 1/5 (d) 4/5
Solution:-
(b) 3/5
Probability = Number of times head appeared / Total number of times coin is tossed
= 120/200
= 12/20 … [divide both numerator and denominator by 4]
= 3/5
Data collected in a survey shows that 40% of the buyers are interested in buying a particular brand of toothpaste. The central angle of the sector of the pie chart representing this information is
(a) 120o (b) 150o (c) 144o (d) 40°
Solution:-
(c) 144o
= (40/100) × 360o
= 0.4 × 360o
= 144o
Monthly salary of a person is Rs. 15000. The central angle of the sector representing his expenses on food and house rent on a pie chart is 60°. The amount he spends on food and house rent is
(a) Rs. 5000 (b) Rs. 2500 (c) Rs. 6000 (d) Rs. 9000
Solution:-
(b) Rs. 2500
From the question,
The part of monthly salary spent on food and house rent = 60o/360o
The amount he spends on food and house rent is = (60o/360o) × 15000
= Rs. 2500
The following pie chart gives the distribution of constituents
in the human body. The central angle of the sector showing the
distribution of protein and other constituents is
(a) 108o (b) 54o (c) 30o (d) 216o
Solution:-
(a) 108o
The following pie chart gives the distribution of constituents
in the human body = 16% + 14% = 30%
= (30/100) × 360o
= 108o
Rohan and Shalu are playing with 5 cards as shown
in the figure. What is the probability of Rohan picking
a card without seeing, that has the number 2 on it?
(a) 2/5 (b) 1/5 (c) 3/5 (d) 4/5
Solution:-
(a) 2/5
Probability = Number of cards having 2/ Total number of cards
= 2/5
The following pie chart represents the distribution of
proteins in parts of the human body. What is the ratio of the distribution of proteins in the muscles to that of proteins
in the bones?
(a) 3 : 1 (b) 1 : 2 (c) 1 : 3 (d) 2 : 1
Solution:-
(d) 2 : 1
From the chart,
Distribution of protein in the muscles = 1/3
Distribution of protein in the bones = 1/6
Then,
Ratio of distribution of proteins in the muscles to that of proteins in the bones,
= 1/3 : 1/6
= (1/3) × (6/1)
= (1/1) × (2/1)
= 2/1
= 2 : 1