Selina Concise Mathematics Class 8 ICSE Solutions Chapter 22 Data Handling

Selina Concise Mathematics Class 8 ICSE Solutions Chapter 22 Data Handling

Selina Publishers Concise Mathematics Class 8 ICSE Solutions Chapter 22 Data Handling

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APlusTopper.com provides step by step solutions for Selina Concise ICSE Solutions for Class 8 Mathematics Chapter 22 Data Handling. You can download the Selina Concise Mathematics ICSE Solutions for Class 8 with Free PDF download option. Selina Publishers Concise Mathematics for Class 8 ICSE Solutions all questions are solved and explained by expert mathematic teachers as per ICSE board guidelines.

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Data Handling Exercise 22A – Selina Concise Mathematics Class 8 ICSE Solutions

Question 1.
Arrange the following data as an array (in ascending order):
(i) 7, 5, 15, 12, 10, 11, 16
(ii) 6.3, 5.9, 9.8, 12.3, 5.6, 4.7
Solution:
(i) Ascending order = 5, 7, 10, 11, 12, 15, 16
(ii) Ascending order = 4.7, 5.6, 5.9, 6.3, 9.8, 12.3

Question 2.
Arrange the following data as an array (descending order):
(i) 0 2, 0, 3, 4, 1, 2, 3, 5
(ii) 9.1, 3.7, 5.6, 8.3, 11.5, 10.6
Solution:
(i) Descending order = 5, 4, 3, 3, 2, 2, 1, 0
(ii) Descending order = 11.5, 10.6, 9.1, 8.3, 5.6, 3.7

Question 3.
Construct a frequency table for the following data:
(i) 6, 7, 5, 6, 8, 9, 5, 5, 6, 7, 8, 9, 8, 10, 10, 9, 8, 10, 5, 7, 6, 8.
(ii) 3, 2, 1, 5, 4, 3, 2, 5, 5, 4, 2, 2, 2, 1, 4, 1, 5, 4.
Solution:
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 22 Data Handling image - 1

Question 4.
Following are the marks obtained by 30 students in an examinations.
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 22 Data Handling image - 2
Taking class intervals 0-10, 10-20, ……… 40-50 ; construct a frequency table.
Solution:
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 22 Data Handling image - 3

Question 5.
Construct a frequency distribution table for the following data ; taking class-intervals 4-6, 6-8, ……… 14-16.
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 22 Data Handling image - 4
Solution:
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 22 Data Handling image - 5

Question 6.
Fill in the blanks:
(i) Lower class limit of 15-18 is ………
(ii) Upper class limit of 24-30 is ……..
(iii) Upper limit of 5-12.5 is ………
(iv) If the upper and the lower limits of a class interval are 16 and 10 ; the class-interval is ……..
(v) If the lower and the upper limits of a class interval are 7.5 and 12.5 ; the class interval is ……..
Solution:
(i) Lower class limit of 15 – 18 is 15.
(ii) Upper class limit of 24 – 30 is 30.
(iii) Upper limit of 5 – 12.5 is 12.5
(iv) If the upper and lower limits of a class interval are 16 and 10 ; the class interval is 10 – 16
(v) If the lower and upper limits of a class interval are 7.5 and 12.5 ; the class interval is 7.5 – 12.5

Data Handling Exercise 22B – Selina Concise Mathematics Class 8 ICSE Solutions

Question 1.
Hundred students from a certain locality use different modes of travelling to school as given below. Draw a bar graph.
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 22 Data Handling image - 7
Solution:
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 22 Data Handling image - 8

Question 2.
Mr. Mirza’s monthly income is Rs. 7,200. He spends Rs. 1,800 on rent, Rs. 2,700 on food, Rs. 900 on education of his children ; Rs. 1,200 on Other things and saves the rest.
Draw a pie-chart to represent it.
Solution:
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 22 Data Handling image - 9

Question 3.
The percentage of marks obtained, in different subjects by Ashok Sharma (in an examination) are given below. Draw a bar graph to represent it.
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 22 Data Handling image - 10
Solution:
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 22 Data Handling image - 11

Question 4.
The following table shows the market position of different brand of tea-leaves.
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 22 Data Handling image - 12
Draw it-pie-chart to represent the above information.
Solution:
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 22 Data Handling image - 13

Question 5.
Students of a small school use different modes of travel to school as shown below:
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 22 Data Handling image - 14
Draw a suitable bar graph.
Solution:
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 22 Data Handling image - 15

Question 6.
For the following table, draw a bar-graph
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 22 Data Handling image - 16
Solution:
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 22 Data Handling image - 17

Question 7.
Manoj appeared for ICSE examination 2018 and secured percentage of marks as shown in the following table:
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 22 Data Handling image - 18
Represent the above data by drawing a suitable bar graph.
Solution:
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 22 Data Handling image - 19

Question 8.
For the data given above in question number 7, draw a suitable pie-graph.
Solution:
∵ 60 + 45 + 42 + 48 + 75 = 270
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 22 Data Handling image - 20

Question 9.
Mr. Kapoor compares the prices (in Rs.) of different items at two different shops A and B. Examine the following table carefully and represent the data by a double bar graph.
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 22 Data Handling image - 21
Solution:
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 22 Data Handling image - 22

Question 10.
The following tables shows the mode of transport used by boys and girls for going to the same school.
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 22 Data Handling image - 23
Draw a double bar graph representing the above data.
Solution:
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 22 Data Handling image - 24

Selina Concise Mathematics Class 8 ICSE Solutions Chapter 23 Probability

Selina Concise Mathematics Class 8 ICSE Solutions Chapter 23 Probability

Selina Publishers Concise Mathematics Class 8 ICSE Solutions Chapter 23 Probability

ICSE SolutionsSelina ICSE SolutionsML Aggarwal Solutions

APlusTopper.com provides step by step solutions for Selina Concise ICSE Solutions for Class 8 Mathematics Chapter 23 Probability. You can download the Selina Concise Mathematics ICSE Solutions for Class 8 with Free PDF download option. Selina Publishers Concise Mathematics for Class 8 ICSE Solutions all questions are solved and explained by expert mathematic teachers as per ICSE board guidelines.

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Probability Exercise 23 – Selina Concise Mathematics Class 8 ICSE Solutions

Question 1.
A die is thrown, find the probability of getting:
(i) a prime number
(ii) a number greater than 4
(iii) a number not greater than 4.
Solution:
A die has six numbers : 1, 2, 3, 4, 5, 6
∴ Number of possible outcomes = 6
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 23 Probability image - 1

Question 2.
A coin is tossed. What is the probability of getting:
(i) a tail? (ii) ahead?
Solution:
On tossing a coin once,
Number of possible outcome = 2
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 23 Probability image - 2

Question 3.
A coin is tossed twice. Find the probability of getting:
(i) exactly one head (ii) exactly one tail
(iii) two tails (iv) two heads
Solution:
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 23 Probability image - 3
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 23 Probability image - 4

Question 4.
A letter is chosen from the word ‘PENCIL’ what is the probability that the letter chosen is a consonant?
Solution:
Total no. of letters in the word ‘PENCIL = 6
Total Number of Consonant = ‘PNCL’ i.e. 4
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 23 Probability image - 5

Question 5.
A bag contains a black ball, a red ball and a green ball, all the balls are identical in shape and size. A ball is drawn from the bag without looking into it. What is the probability that the ball drawn is:
(i) a red ball
(ii) not a red ball
(iii) a white ball.
Solution:
Total number of possible outcomes = 3
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 23 Probability image - 6

Question 6.
6. In a single throw of a die, find the probability of getting a number
(i) greater than 2
(ii) less than or equal to 2
(iii) not greater than 2.
Solution:
A die has six numbers = 1, 2, 3, 4, 5, 6
∴ Number of possible outcomes = 6
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 23 Probability image - 7

Question 7.
A bag contains 3 white, 5 black and 2 red balls, all of the same shape and size.
A ball is drawn from the bag without looking into it, find the probability that the ball drawn is:
(i) a black ball.
(ii) a red ball.
(iii) a white ball.
(iv) not a red ball.
(v) not a black ball.
Solution:
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 23 Probability image - 8
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 23 Probability image - 20

Question 8.
In a single throw of a die, find the probability that the number:
(i) will be an even number.
(ii) will be an odd number.
(iii) will not be an even number.
Solution:
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 23 Probability image - 9

Question 9.
In a single throw of a die, find the probability of getting :
(i) 8
(ii) a number greater than 8
(iii) a number less than 8
Solution:
On a die the numbers are 1, 2, 3, 4, 5, 6 i.e. six.
∴ Number of possible outcome = 6
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 23 Probability image - 10

Question 10.
Which of the following can not be the probability of an event?
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 23 Probability image - 11
Solution:
The probability of an event cannot be
(ii) 3.8 i.e. the probability of an even cannot exceed 1.
(iv) i.e. -0.8 and
(vi) -2/5, This is because probability of an even can never be less than 1.

Question 11.
A bag contains six identical black balls. A child withdraws one ball from the bag without looking into it. What is the probability that he takes out:
(i) a white ball,
(ii) a black ball
Solution:
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 23 Probability image - 12

Question 12.
Three identical coins are tossed together. What is the probability of obtaining:
all heads?
exactly two heads?
exactly one head?
no head?
Solution:
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 23 Probability image - 13

Question 13.
A book contains 92 pages. A page is chosen at random. What is the probability that the sum of the digits in the page number is 9?
Solution:
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 23 Probability image - 14

Question 14.
Two coins are tossed together. What is the probability of getting:
(i) at least one head
(ii) both heads or both tails.
Solution:
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 23 Probability image - 15

Question 15.
From 10 identical cards, numbered 1, 2, 3, …… , 10, one card is drawn at random. Find the probability that the number on the card drawn is a multiple of:
(i) 2 (ii) 3
(iii) 2 and 3 (iv) 2 or 3
Solution:
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 23 Probability image - 16

Question 16.
Two dice are thrown at the same time. Find the probability that the sum of the two numbers appearing on the top of the dice is:
(i) 0
(ii) 12
(iii) less than 12
(iv) less than or equal to 12
Solution:
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 23 Probability image - 17

Question 17.
A die is thrown once. Find the probability of getting:
(i) a prime number
(ii) a number greater than 3
(iii) a number other than 3 and 5
(iv) a number less than 6
(v) a number greater than 6.
Solution:
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 23 Probability image - 18

Question 18.
Two coins are tossed together. Find the probability of getting:
(i) exactly one tail
(ii) at least one head
(iii) no head
(iv) at most one head
Solution:
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 23 Probability image - 19