Sample QuestionsData Handling questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
In a school, only $2$ out of $5$ students can participate in a quiz. What is the chance that a student picked at random makes it to the competition?
Answer: B.
View full solution →There are $2$ aces in each of the given set of cards placed face down. From which set are you certain to pick the two aces in the first go?
Answer: C.
View full solution →Which of the following has the same mean, median and mode?
- A
$6, 2, 5, 4, 3, 4, 1$
- B
$4, 2, 2, 1, 3, 2, 3$
- C
$2, 3, 7, 3, 8, 3, 2$
- ✓
$4, 3, 4, 3, 4, 6, 4$
Answer: D.
View full solution →The mean of three numbers is $40$. All the three numbers are different natural numbers. If lowest is $19$, what could be highest possible number of remaining two numbers?
Answer: A.
View full solution →The range of the data : $21, 6, 17, 18, 12, 8, 4, 13$ is:
Answer: A.
View full solution →In Throwing a die the number of possible outcomes is _________.
View full solution →Classify, the following events as certain to happen, impossible to happen, may or may not happen. Getting head when a coin is tossed.
View full solution →The marks in a subject for $12$ students are as follows: $31, 37, 35, 38, 42, 23, 17, 18, 35, 25, 35, 29$ For the given data, find the: Range.
View full solution → _________ can be used to compare two collections of data.
View full solution →The measures of central tendency may not lie between the maximum and minimum values of data.
View full solution →Find the mean of first six multiples of $4.$
View full solution →The marks in a subject for $12$ students are as follows: $31, 37, 35, 38, 42, 23, 17, 18, 35, 25, 35, 29$ For the given data, find the: Mean.
View full solution →The marks in a subject for $12$ students are as follows: $31, 37, 35, 38, 42, 23, 17, 18, 35, 25, 35, 29$ For the given data, find the: Median.
View full solution →Given below are heights of $15$ boys of a class measured in cm: $128, 144, 146, 143, 136, 142, 138, 129, 140, 152, 144, 140, 150, 142, 154.$
Find:
The median height of the boy.
View full solution → When a spinner with three colours given in figure is rotated, which colour has more chance to show up with arrow than the others?
View full solution →The following table shows the average intake of nutrients in calories by rural and urban groups in a particular year. Using a suitable scale for the given data, draw a double bar graph to compare the data.
|
Foodstuff
|
Rural
|
Urban
|
|
Pulses
|
$35$
|
$49$
|
|
Leafy vegetables
|
$14$
|
$21$
|
|
Other vegetables
|
$51$
|
$89$
|
|
Fruits
|
$35$
|
$66$
|
|
Milk
|
$70$
|
$250$
|
|
Fish and flesh foods
|
$10$
|
$22$
|
|
Fats and Oils
|
$9$
|
$35$
|
|
Sugar/ Jaggery
|
$19$
|
$31$
|
View full solution →Observe the given bar graph carefully and answer the questions that follow.

$a.$ What information does the bar graph depict?
$b.$ How many motor bikes were produced in the first three months?
$c.$ Calculate the increase in production in May over the production in January.
$d.$ In which month the production was minimum and what was it?
$e.$ Calculate the average $($mean$)$ production of bikes in $6$ months. View full solution →Study the bar graph given below and answer the questions that follow.

$a.$ What information does the above bar graph represent?
$b.$ In which year was production the least?
$c.$ After which year was the maximum rise in the production?
$d.$ Find the average production of rice during the $5$ years.
$e.$ Find difference of rice production between years $2006$ and $2008.$ View full solution →The bar graph given below represents the circulation of newspapers $($dailies$)$ in a town in six languages $($the figures are approximated to hundreds$).$

Study the bar graph and answer the following questions:
$a.$ Find the total number of newspapers read in Hindi, Punjabi, Urdu, Marathi and Tamil.
$b.$ Find the excess number of newspapers read in Hindi than those in English.
$c.$ Name the language in which the least number of newspapers are read.
$d.$ Write the total circulation of newspapers in the town. View full solution →The table below gives the data of tourists visiting $5$ hill stations over two consecutive years. Study the table and answer questions that follow:
|
Hills
|
Nanital
|
Shimla
|
Manali
|
Mussorie
|
Kullu |
|
$2008$
|
$4000$
|
$5200$
|
$3700$
|
$5800$
|
$3500$ |
|
$2009$
|
$4800$
|
$4500$
|
$4200$
|
$6200$
|
$4600$ |
$a.$ Draw a double bar graph to depict the above information using appropriate scale.
$b.$ Which hill station was visited by the maximum number of tourists in $2008?$
$c.$ Which hill station was visited by least number of tourists in $2009?$
$d.$ In which hill stations was there increase in number of tourists in $2009?$ View full solution →Following cards are put facing down:

What is the chance of drawing out
- a vowel
- a card marked $U$
- $A$ or $I$
- a consonant
View full solution →Age (in years) of $6$ children of two groups are recorded as below:
|
Age (in Years)
|
|
Group A
|
Group B
|
|
$7$
|
$7$
|
|
$7$
|
$9$
|
|
$9$
|
$11$
|
|
$8$
|
$12$
|
|
$10$
|
$12$
|
|
$10$
|
$12$
|
- Find the mode and range for each group.
- Find the range and mode if the two groups are combined together.
View full solution →For the given data below, calculate the mean of its median and mode
$6, 2, 5, 4, 3, 4, 4, 2, 3$
View full solution →A die was thrown $15$ times and the outcomes recorded were $5, 3, 4, 1, 2, 6, 4, 2, 2, 3, 1, 5, 6, 1, 2.$ Find the mean, median and mode of the data.
View full solution →A car seller collects the following data of cars sold in his shop.
|
Colour of Car
|
Number of Cars Sold
|
|
Red
|
$15$
|
|
Black
|
$20$
|
|
White
|
$17$
|
|
Silver
|
$12$
|
|
Others
|
$9$
|
- Which colour of the car is most liked$?$
- Which measure of central tendency was used in $(a)?$
View full solution →