Question types

Data Handling question types

291 questions across 6 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.

291
Questions
6
Question groups
5
Question types
Sample Questions

Data Handling questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Study the following frequency distribution table and answer the questions given below:
Class interval Age (in years)
Number of Persons
$15-20$
$12$
$20-25$
$20$
$25-30$
$42$
$30-35$
$20$
$35-40$
$6$
What is the lower limit of the class interval $35-40?$
  • A
    $20$
  • B
    $25$
  • C
    $30$
  • $35$

Answer: D.

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Tick the correct answer in the following:
In a spinning wheel, there are $3$ white and $5$ green sectors. It is spinned. What is the probability of getting a green sector?
  • A
    $\frac{5}{3}$
  • $\frac{5}{8}$
  • C
    $\frac{1}{5}$
  • D
    $\frac{3}{8}$

Answer: B.

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There are $2$ Red, $3$ Blue and $5$ Black balls in a bag. A ball is drawn from the bag without looking in to the bag. What is the probability of getting a blue ball?
  • A
    $\frac{3}{5}$
  • B
    $\frac{2}{5}$
  • $\frac{3}{10}$
  • D
    None of these.

Answer: C.

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Observe the following bar graph carefully and answer the following questions:

Which two subjects have the same number of books?
  • A
    Maths and Hindi.
  • B
    Hindi and English.
  • English and Science.
  • D
    Science and Social Science.

Answer: C.

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Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following: Observe the figure as assertions for the following reasons:-
Reason (R): Expenditure has been done in all is $Rs.20000.$
  • A
    Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.
     
  • B
    Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$.
     
  • $A$ is true but $R$ is false.
     
  • D
    $A$ is false but $R$ is true.

Answer: C.

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Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Observe the figure as reasons for the following assertions:
Daily Wages Number of Workers
$290-325$ $5$
$325-360$ $2$
$360-395$ $4$
$395-430$ $6$
$430-465$ $7$
$465-500$ $5$
Assertion (A): The number of workers getting daily wages $395 - 430$ is $6.$
  • Both $A$ and $R$ are true and $R$ is the correct explanation of $A.$
  • B
    Both $A$ and $R$ are true but $R$ is not the correct explanation of $A.$
  • C
    $A$ is true but $R$ is false.
  • D
    $A$ is false but $R$ is true.

Answer: A.

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Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following: Observe the figure as reasons for the following assertions:
Daily Wages Number of Workers
$290-325$ $5$
$325-360$ $2$
$360-395$ $4$
$395-430$ $6$
$430-465$ $7$
$465-500$ $5$
Assertion (A): $430 - 465$ and $465 - 500$ have the same frequency.
  • A
    Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.
     
  • B
    Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$.
     
  • C
    $A$ is true but $R$ is false.
     
  • $A$ is false but $R$ is true.

Answer: D.

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Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following: Observe the figure as reasons for the following assertions:
Class interval Age (in year) Number of persons
$15-20$ $12$
$20-25$ $20$
$25-30$ $42$
$30-35$ $20$
$35-40$ $6$
Assertion (A): lower limit of the class interval $35 - 40$ is $34.$
  • Both $A $and $R$ are true and $R$ is the correct explanation of $A.$
  • B
    Both $A$ and $R$ are true but $R$ is not the correct explanation of $A.$
  • C
    $A$ is true but $R$ is false.
  • D
    $A$ is false but $R$ is true.

Answer: A.

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Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:Observe the figure as reasons for the following assertions:
Daily Wages Number of Workers
$290-325$ $5$
$325-360$ $2$
$360-395$ $4$
$395-430$ $6$
$430-465$ $7$
$465-500$ $5$
Assertion (A): The total number of workers is $28.$
  • A
    Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.
     
  • B
    Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$.
     
  • C
    $A$ is true but $R$ is false.
     
  • $A$ is false but $R$ is true.

Answer: D.

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If you have a spinning wheel with $3$ green sectors, $1$ blue sector and $1$ red sector, what is the probability of getting a green sector? What is the probability of getting a non blue sector?
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Numbers $1$ 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 getting a 1-digit number?
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Numbers $1$ 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 getting a number greater than $6$?
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Numbers $1$ 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 getting a number less than $6$?
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Numbers $1$ 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 getting a number 6?
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Q 163 Marks Question3 Marks
A group of $360$ people were asked to vote for their favourite season from the three seasons rainy, winter and summer.
Season No. of votes
Summer $90$
Rainy $120$
Winter $150$
Draw a pie chart to show this information.
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Q 173 Marks Question3 Marks
A group of $360$ people were asked to vote for their favourite season from the three seasons rainy, winter and summer.
Season No. of votes
Summer $90$
Rainy $120$
Winter $150$
Find the central angle of each sector?
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The number of students in a hostel, speaking different languages is given below. Display the data in a pie chart.
Language Hindi English Marathi Tamil Bengali Total
Number of Students $40$ $12$ $9$ $7$ $4$ $72$
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On a particular day, the sales (in rupees) of different items of a baker’s shop are given below.
ordinary bread $320$
fruit bread $80$
cakes and pastries $160$
biscuits $120$
others $40$
Total $720$
Draw a pie chart for this data
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