These Class 8 Maths Extra Questions Chapter 5 Data Handling will help students prepare well for the exams.
Class 8 Maths Chapter 5 Extra Questions Data Handling
Class 8 Maths Data Handling Extra Questions
Question 1.
If a die is thrown, what is the probability of getting 3 ?
Solution:
When a die is thrown the possible outcomes are 1, 2, 3, 4, 5 and 6.
∴ Total number of possible outcomes = 6
Number of outcomes of getting ‘3’ = 1
∴ Probability = \(\frac{1}{6}\)
Question 2.
Ajit sends clothes to the laundry every Sunday. He sent a total of 48 clothes to the laundry during a certain month. The following table shows the number of clothes Ajit sent.
Represent the number of clothes Ajit sent for laundry on the fourth Sunday using the tally mark.
(Assume that there are only 4 Sundays in the month.)
Solution:
Question 3.
The histogram below represents the prices of different headphone models available at a store.
Which of these can be found out from tho histogram ? Explain your answer.
i) The number of headphone models in the store.
ii) The price of the costliest headphone model.
Solution:
i) Each bar represents the total number . of headphone models in that price range.
So, we can found the number of headphone models in the store.
ii) The X-axis intervals represents the price range of the models.
But the exact price of each model cannot be determined. So, we cannot found the price of the costliest headphone model.
Question 4.
When a die is thrown list the outcomes of an event of getting.
i) An odd number
ii) A number less than 3
Solution:
When a die is thrown, the possible outcomes are 1, 2, 3, 4, 5 and 6.
i) An odd number : Outcomes are 1, 3, 5.
ii) A number less than 3: Outcomes are 1 and 2.
Data Handling Extra Questions Class 8
Question 1.
The graph below shows the number of participants from classes 4 and 5 in some sports in the sports meet of a school.
Which sport from which class has the highest number of participants ?
Solution:
The highest number of participants are 4th class people in the volleyball game
Question 2.
The following table shows the blood groups of 40 students in a class.
Blood group | Number of Students |
A | 11 |
B | 9 |
O | 14 |
AB | 6 |
One student of the class is chosen at random. What is the probability that the chosen student has blood group O?
Solution:
Number of class students = 40 ,
Number of ‘O’ blood group students = 14
Probability of blood group ‘O’ students = \(\frac{\text { Number of ‘O’ blood group students }}{\text { Number of Class Students }}\)
= \(\frac{14}{40}\) = \(\frac{7}{20}\)
Question 3.
Numbers from 1 to 10 are written on ten separate slips (one number on one slip), kept in a box and mixed well. One slip is chosen from the box without looking into it. What is the probability of.
a) Getting an even number
b) Getting a number less than 5
Solution:
There are 10 slips in the box from 1 to 10 numbers.
Which means that,
possible outcomes are :
1, 2, 3, 4, 5, 6, 7, 8, 9, 10
Total possible outcomes = 10
b) Getting a number less than 5 :
Favourable outcomes are : 1, 2, 3, 4
Number of favourable outcomes = 4
Probability getting an less than 5 = \(\frac{4}{10}\) = \(\frac{2}{5}\)
a) Getting an even number :
Possible outcomes are : 2, 4, 6, 8, 10
Number of favourable outcomes = 5
Probability getting an even number = \(\frac{5}{10}\) = \(\frac{1}{2}\)
Extra Questions of Data Handling Class 8
Question 1.
On a particular day, the sales data of different items in a grocery store are given
below :
Rice : Rs. 800 Vegetables : Rs 600 Fruits : Rs. 400
Dairy products : Rs. 300 Snacks: Rs. 300
Draw a pie chart for this data.
Solution:
Data Handling Class 8 Extra Questions
Question 1.
Adjoining pie chart (Fig) gives the expenditure (in percentage) on various items and savings of a family during a month.
i) On which item, the expenditure was maximum ?
ii) Expenditure on which item is equal to the total savings of the family ?
iii) If the monthly savings of the family is ₹ 3000, what is the monthly expenditure on clothes ?
Solution:
i) Expenditure is maximum on food.
ii) Expenditure on Education of children is the same (i.e., 15%) as the savings of the family.
iii) 15% represents ₹ 3000
Therefore, 10% represents ₹ \(\frac{3000}{15}\) × 10 = ₹ 2000
Question 2.
On a particular day, the sales (in rupees) of different items of a baker’s shop are given below.
Draw a pie chart for this data.
Solution:
We find the central angle of each sector. Here the total sale = ₹ 720. We thus have this table.
Now, we make the pie chart (Fig):
Question 3.
A bag has 4 red balls and 2 yellow balls. (The balls are identical in all respects other than colour). A ball is drawn from the bag without looking into the bag. What is probability of getting a red ball? Is it more or less than getting a yellow ball?
Solution:
There are in all (4 + 2 =) 6 outcomes of the event. Getting a red ball consists of 4 outcomes.
Therefore, the probability of getting a red ball is \(\frac{4}{6}\) = \(\frac{2}{3}\). In the same way the probability of getting a yellow ball = \(\frac{2}{6}\) = \(\frac{1}{3}\)
Therefore, the probability of getting a red ball is more than that of getting a yellow ball.