Important data handling questions for class 8 maths chapter 5 are provided here to help the students get completely acquainted with the concepts. These questions from class 8 data handling topic (NCERT) given require the students to have a deeper understanding of the concepts and thus, will help to develop problem-solving skills.
Important Data Handling Questions for Class 8 (Chapter 5)
The data handling questions also include questions from “chance and probability” as the concepts are included in the NCERT class 8 maths book. Some of the most important data handling and chance and probability questions are given below.
Data Handling and Chance and Probability Questions
1. Answer the following questions:
(i) What is the total angle at the centre of a pie chart?
(ii) What does the height and width of rectangles in a histogram represent?
(iii) Is tossing a coin a random experiment?
Solution:
(i) 360°
(ii) The height represents the number of times the values within an interval occurred and the width represents the length of the interval covered by the bar.
(iii) Yes, tossing a coin is a random experiment. To recall, a random experiment is an experiment or a process for which the outcome cannot be predicted with certainty.
2. A group of students were asked about their favourite superhero. The responses were as follows:
Batman, Superman, Ironman, Spiderman, Superman, Batman, Spiderman, Superman, Spiderman, Batman, Ironman, Batman, Ironman, Ironman, Superman, Batman, Spiderman, Batman, Ironman, Superman, Ironman, Batman.
(i) How many students like Ironman?
Solution:
Ironman is liked by 6 students.
(ii) Which is the most liked superhero?
Solution:
From the table,
Number of students like
Batman = 7
Superman = 5
Ironman = 6
Spiderman = 4
So, the most liked superhero is Batman.
(iii) Draw a frequency distribution table from the data.
Solution:
Frequency distribution table will include how often a superhero’s name is repeated.
Superhero |
Frequency |
Batman |
7 |
Superman |
5 |
Ironman |
6 |
Spiderman |
4 |
3. Calculate the probability of picking a prime number from a lot containing the first 100 natural numbers.
Solution:
Number of elements in the sample space = 100
Total number of prime numbers = 25 (2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89 and 97)
So, the probability of picking a prime number from the lot = 25/100 =¼
4. A student scored the following marks in six subjects:
36, 35, 50, 46, 60, 55
Calculate the mean marks scored by him.
Solution:
Mean = sum of data points/ total number of data
So, Mean = (36 + 35 + 50 + 46 + 60 + 55)/6 = 282/6 = 47
5. A bag contains 10 red balls and 8 white balls. Find the probability of picking one white ball.
Solution:
Total number of white balls = 8
Total number of red balls = 10
So, total number of balls = 10 + 8 = 18
Here, the total favourable outcome will be the total number of white balls i.e. 8
Now,
P(The ball drawn is white) = (Number of favourable cases)/ (Total number of cases)
= 8/18 = 4/9