The weights of $9$ apples are $50, 60, 65, 62, 67, 70, 64, 45, 48$ grams Their mean weight is:
- A$60.5$ gram
- B$60$ gram
- ✓$59$ gram
- D$62$ gram
Answer: C.
View full solution →Question types
Data Handling question types
329 questions across 9 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.
329
Questions
9
Question groups
5
Question types
01
M.C.Q. [1 Marks Each]
202 Q→02Assertion (A) & Reason (B) MCQ
32 Q→03True False[1 Marks ]
20 Q→04BLANKS [1 Marks Each]
29 Q→051 Marks Question
15 Q→062 Marks Questions
9 Q→075 Marks Questions
16 Q→08case /data -based (4 Marks)
3 Q→093 Marks Question
3 Q→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.
Three years ago the average age of the family of $5$ members was $17$ years A baby having been born the average age of the family is the same today What is the baby today$?$
- A$4$ years
- B$3$ years
- ✓$2$ years
- D$1$ year
Answer: C.
View full solution →There are $7$ observations in the data and their mean is $11$. If each observation is multiplied by $2,$ then the mean of new observations is:
- A$11$
- B$13$
- ✓$22$
- D$55$
Answer: C.
View full solution →If the mean of $x$ and $\frac{1}{\text{x}}$ is $M,$ then the mean of $x^2$ and $\frac{1}{\text{x}{^{2}}}$ is:
- A$M^2$
- B$2M^2+ 1$
- ✓$2M^2 -1$
- D$\frac{\text{m}^{2}}{4}$
Answer: C.
View full solution →If the range of $14, 12, 17, 18, 16, x$ is $20$ and $x > 0,$ the value of $x$ is:
- A$2$
- B$28$
- ✓$32$
- DCannot be determined
Answer: C.
View full solution →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:
Assertion: The median of a set of data is the middlemost number in the set.
Reason: If $I < m < n$ then the median of the list $i, m, n$ is $n$.
Assertion: The median of a set of data is the middlemost number in the set.
Reason: If $I < m < n$ then the median of the list $i, m, n$ is $n$.
- ABoth Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- BBoth Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- ✓Assertion is true but the reason is false.
- DBoth assertion and reason are false.
Answer: C.
View full solution →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:
Assertion: Mean is one of the numbers in data.
Reason: The data $6, 4, 3, 8, 9, 12, 13, 9$ has mean $9$.
Assertion: Mean is one of the numbers in data.
Reason: The data $6, 4, 3, 8, 9, 12, 13, 9$ has mean $9$.
- ABoth Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- BBoth Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- CAssertion is true but the reason is false.
- ✓Both assertion and reason are false.
Answer: D.
View full solution →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:
Assertion: The median of the distribution $2, 3, 4, 7, 5, 1, 6$ is $4$.
Reason: The middle most observation of a data series is called the median of the series.
Assertion: The median of the distribution $2, 3, 4, 7, 5, 1, 6$ is $4$.
Reason: The middle most observation of a data series is called the median of the series.
- ✓Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- BBoth Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- CAssertion is true but the reason is false.
- DBoth assertion and reason are false.
Answer: A.
View full solution →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:
Assertion: Mode is the term which appears maximum number of times.
Reason: Mode of $2, 3, 4, 5, 0, 1, 3, 3, 4, 3$ is $3.$
Assertion: Mode is the term which appears maximum number of times.
Reason: Mode of $2, 3, 4, 5, 0, 1, 3, 3, 4, 3$ is $3.$
- ✓Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- BBoth Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- CAssertion is true but the reason is false.
- DBoth assertion and reason are false.
Answer: A.
View full solution →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:
Assertion: Mode is a simple and popular average.
Reason: Mode is the possible value of the distribution.
Assertion: Mode is a simple and popular average.
Reason: Mode is the possible value of the distribution.
- ABoth Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- ✓Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- CAssertion is true but the reason is false.
- DBoth assertion and reason are false.
Answer: B.
View full solution →The median of numbers on a die is $4$.
View full solution →An arithmetic mean of a set of observations is greater than its average.
The arithmetic mean of first five natural numbers is $3$.
View full solution →The difference between the highest and the lowest observation gives an idea of the spread of the observations.
Mean may be bigger than each of the observations.
The mode of a data having observations $1. 2. 3. 1. 2. 1. 2. 1$ is
View full solution →The probability of getting a black ball from a bag containing $4$ black and $2$ red balls is…………. $\left(\frac{2}{3}, \frac{3}{2}, \frac{1}{2}\right)$
View full solution →A batsman scored $15$ runs in an over. He scored average……….. runs on each ball. $(6, 5, 2.5)$
View full solution →In a throw of a die, the probability of getting $3$ is…………. $\left(\frac{1}{2}, \frac{1}{3}, \frac{1}{6}\right)$
View full solution →The sum of five observations in a data is $40$. then mean of the data is $…………. (5. 40. 8) )$
View full solution →Read the bar graph (Fig) which shows the number of books sold by a bookstore during five consecutive years and answer the question: Can you explain how you would estimate the number of books sold in $1989?$
View full solution →Read the bar graph (Fig) which shows the number of books sold by a bookstore during five consecutive years and answer the question: In which years were fewer than $250$ books sold?
View full solution →Read the bar graph (Fig) which shows the number of books sold by a bookstore during five consecutive years and answer the question: In which year about $475$ books were sold? About $225$ books sold?
View full solution →Read the bar graph (Fig) which shows the number of books sold by a bookstore during five consecutive years and answer the question: About how many books were sold in $1989? 1990? 1992?$
View full solution →The data $6, 4, 3, 8, 9, 12, 13, 9$ has mean $9.$
View full solution →Use the bar graph to answer the question: How many students have dog as a pet?
Use the bar graph to answer the question: Which is the most popular pet?
Find the mode and median of the data :$13, 16, 12, 14, 19, 12, 14, 13, 14.$
View full solution →The scores in mathematics test (out of $25$) of $15$ students is as follows :$19, 25, 23, 20, 9, 20, 15, 10, 5, 16, 25, 20, 24, 12, 20$. Find the mode and median of this data. Are they same?
View full solution →The enrolment of a school during six consecutive years was as follows: $1555, 1670, 1750, 2013, 2540, 2820$. Find the mean enrolment of the school for this period.
View full solution →Take the data giving the minimum and the maximum temperature of various cities given in Table. Plot a double bar graph using the data and answer the question: Name the city which has the least difference between its minimum and the maximum temperature.
View full solution →| Temperatures of Cities as on $20.6.2006$ | ||
| City | Max. | Min. |
| Ahmedabad | $38^{\circ} \mathrm{C}$ | $29^{\circ} \mathrm{C}$ |
| Amritsar | $37^{\circ} \mathrm{C}$ | $26^{\circ} \mathrm{C}$ |
| Banglore | $28^{\circ} \mathrm{C}$ | $21^{\circ} \mathrm{C}$ |
| Chennai | $36^{\circ} \mathrm{C}$ | $27^{\circ} \mathrm{C}$ |
| Delhi | $38^{\circ} \mathrm{C}$ | $28^{\circ} \mathrm{C}$ |
| Jaipur | $39^{\circ} \mathrm{C}$ | $28^{\circ} \mathrm{C}$ |
| Jammu | $41^{\circ} \mathrm{C}$ | $26^{\circ} \mathrm{C}$ |
| Mumbai | $32^{\circ} \mathrm{C}$ | $27^{\circ} \mathrm{C}$ |
Take the data giving the minimum and the maximum temperature of various cities given in Table. Plot a double bar graph using the data and answer the question: Name two cities where maximum temperature of one was less than the minimum temperature of the other.
View full solution →| Temperatures of Cities as on $20.6.2006$ | ||
| City | Max. | Min. |
| Ahmedabad | $38^{\circ} \mathrm{C}$ | $29^{\circ} \mathrm{C}$ |
| Amritsar | $37^{\circ} \mathrm{C}$ | $26^{\circ} \mathrm{C}$ |
| Banglore | $28^{\circ} \mathrm{C}$ | $21^{\circ} \mathrm{C}$ |
| Chennai | $36^{\circ} \mathrm{C}$ | $27^{\circ} \mathrm{C}$ |
| Delhi | $38^{\circ} \mathrm{C}$ | $28^{\circ} \mathrm{C}$ |
| Jaipur | $39^{\circ} \mathrm{C}$ | $28^{\circ} \mathrm{C}$ |
| Jammu | $41^{\circ} \mathrm{C}$ | $26^{\circ} \mathrm{C}$ |
| Mumbai | $32^{\circ} \mathrm{C}$ | $27^{\circ} \mathrm{C}$ |
Take the data giving the minimum and the maximum temperature of various cities given in Table. Plot a double bar graph using the data and answer the question: Which is the hottest city and which is the coldest city?
View full solution →| Temperatures of Cities as on $20.6.2006$ | ||
| City | Max. | Min. |
| Ahmedabad | $38^{\circ} \mathrm{C}$ | $29^{\circ} \mathrm{C}$ |
| Amritsar | $37^{\circ} \mathrm{C}$ | $26^{\circ} \mathrm{C}$ |
| Banglore | $28^{\circ} \mathrm{C}$ | $21^{\circ} \mathrm{C}$ |
| Chennai | $36^{\circ} \mathrm{C}$ | $27^{\circ} \mathrm{C}$ |
| Delhi | $38^{\circ} \mathrm{C}$ | $28^{\circ} \mathrm{C}$ |
| Jaipur | $39^{\circ} \mathrm{C}$ | $28^{\circ} \mathrm{C}$ |
| Jammu | $41^{\circ} \mathrm{C}$ | $26^{\circ} \mathrm{C}$ |
| Mumbai | $32^{\circ} \mathrm{C}$ | $27^{\circ} \mathrm{C}$ |
Take the data giving the minimum and the maximum temperature of various cities given in Table. Plot a double bar graph using the data and answer the question: Which city has the largest difference in the minimum and maximum temperature on the given date?
View full solution →| Temperatures of Cities as on $20.6.2006$ | ||
| City | Max. | Min. |
| Ahmedabad | $38^{\circ} \mathrm{C}$ | $29^{\circ} \mathrm{C}$ |
| Amritsar | $37^{\circ} \mathrm{C}$ | $26^{\circ} \mathrm{C}$ |
| Banglore | $28^{\circ} \mathrm{C}$ | $21^{\circ} \mathrm{C}$ |
| Chennai | $36^{\circ} \mathrm{C}$ | $27^{\circ} \mathrm{C}$ |
| Delhi | $38^{\circ} \mathrm{C}$ | $28^{\circ} \mathrm{C}$ |
| Jaipur | $39^{\circ} \mathrm{C}$ | $28^{\circ} \mathrm{C}$ |
| Jammu | $41^{\circ} \mathrm{C}$ | $26^{\circ} \mathrm{C}$ |
| Mumbai | $32^{\circ} \mathrm{C}$ | $27^{\circ} \mathrm{C}$ |
Consider this data collected from a survey of a colony.
Which is more preferred, watching or participating in sports?
View full solution →| Favourite Sport | Cricket | Basket Ball | Swimming | Hockey | Athletics |
| Watching | $1240$ | $470$ | $510$ | $423$ | $250$ |
| Participating | $620$ | $320$ | $320$ | $250$ | $105$ |
During the $HC$ game, players can spin the wheel to earn points.
$1.$ What is the probability that she earns $6$ points$?$
$1.$ What is the probability that she earns $6$ points$?$
- A$0$
- B$\frac{1}{12}$
- C$\frac{1}{5}$
- ✓$\frac{1}{2}$
Answer: D.
View full solution →The graph below shows the percentage of new and existing active users of the games.
$1.$ In which game the number of existing active users is more than $1.5$ million$?$
$A. KC$
$B. RJ$
$C. CM$
$D. CR$
$2. $ For which game(s) the number of new users is more than the number of existing users$?$
$3.$ It has been observed that $50\%$ of the new $RJ$ game users play online with friends.
For existing users, this percentage is $36\%.$
What is the number of people (in millions) playing $RJ $ game online with friends$?$
$A. 1.39$ millions
$B. 4.975$ millions
$C. 8.557$ millions
$D. 9.95$ millions
$4.$ Mary played $10\ HC$ matches. She scored $45, 36, 50, 27, 36, 52, 50, 43, 50$ and $47$ points in them. What is the most frequent score point$?$
$A. 27$
$B. 36$
$C. 47$
$D. 50$
$5. $ Are the mean and median of Mary’s scores equal? Justify your answer.
$6.$ Mary scored 56 points in her $11th$ match. What is the change in her mean score after the $11th$ match$?$
$A.$ Increases by $1.13$
$B.$ Increases by $5.6$
$C.$ Decreases by $4$
$D.$ Decreases by $3$
$7.$ What is the probability of Mary scoring $60$ points in her $12th$ match$?$
The highest score in the match is $60$ points.
$A. 0$
$B. \frac{1}{12}$
$C.\frac{1}{5}$
$D. \frac{1}{2}$
View full solution →$1.$ In which game the number of existing active users is more than $1.5$ million$?$
$A. KC$
$B. RJ$
$C. CM$
$D. CR$
$2. $ For which game(s) the number of new users is more than the number of existing users$?$
$3.$ It has been observed that $50\%$ of the new $RJ$ game users play online with friends.
For existing users, this percentage is $36\%.$
What is the number of people (in millions) playing $RJ $ game online with friends$?$
$A. 1.39$ millions
$B. 4.975$ millions
$C. 8.557$ millions
$D. 9.95$ millions
$4.$ Mary played $10\ HC$ matches. She scored $45, 36, 50, 27, 36, 52, 50, 43, 50$ and $47$ points in them. What is the most frequent score point$?$
$A. 27$
$B. 36$
$C. 47$
$D. 50$
$5. $ Are the mean and median of Mary’s scores equal? Justify your answer.
$6.$ Mary scored 56 points in her $11th$ match. What is the change in her mean score after the $11th$ match$?$
$A.$ Increases by $1.13$
$B.$ Increases by $5.6$
$C.$ Decreases by $4$
$D.$ Decreases by $3$
$7.$ What is the probability of Mary scoring $60$ points in her $12th$ match$?$
The highest score in the match is $60$ points.
$A. 0$
$B. \frac{1}{12}$
$C.\frac{1}{5}$
$D. \frac{1}{2}$
Gaming apps allow users to download and play games in online or ofline mode. A play store data
shows $20$ million downloads of $6$ popular games. The table below shows the number of daily active users of the games:
$1.$ Around $50\%$ of those who downloaded the games are active users.
Is the statement correct? Give reason to justify your answer.
$2.$ Every fourth person who downloaded the games spends more than an hour a day playing them.
What percentage of active players play more than an hour a day?
View full solution →shows $20$ million downloads of $6$ popular games. The table below shows the number of daily active users of the games:
| Game | Active users (in millions) |
| $KC$ | $2.07$ |
| $RJ$ | $1.99$ |
| $CM$ | $1.82$ |
| $SN$ | $1.56$ |
| $CR$ | $1.34$ |
| $HC$ | $1.20$ |
Is the statement correct? Give reason to justify your answer.
$2.$ Every fourth person who downloaded the games spends more than an hour a day playing them.
What percentage of active players play more than an hour a day?
The weights (in kg.) of $15$ students of a class are $:38, 42, 35, 37, 45, 50, 32, 43, 43, 40, 36, 38, 43, 38, 47. (i) $ Find the mode and median of this data.$(ii)$ Is there more than one mode$ ?$
View full solution →The runs scored in a cricket match by $11$ players is as follows: $6, 15, 120, 50, 100, 80, 10, 15, 8, 10, 15.$ Find the mean, mode and median of this data. Are the three same$?$
View full solution →The margins of victory in the football matches of a league are:
$1, 3, 2, 5, 1, 4, 6, 2, 5, 2, 2, 2, 4, 1, 2, 3, 1, 1, 2, 3, 2, 6, 4, 3, 2, 1, 1, 4, 2, 1, 5, 3, 3, 2, 3, 2, 4, 2, 1, 2$
Find the mode of this data.
View full solution →$1, 3, 2, 5, 1, 4, 6, 2, 5, 2, 2, 2, 4, 1, 2, 3, 1, 1, 2, 3, 2, 6, 4, 3, 2, 1, 1, 4, 2, 1, 5, 3, 3, 2, 3, 2, 4, 2, 1, 2$
Find the mode of this data.
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