14.Data Handling- Worksheet Solutions

Q1. Grade 8 students recorded the colours of cars that drove by their school over a five minute period. Each car picture = 1 car. 

Complete the following questions:

a) What colour car was the most popular?

Ans: The white column has the most car pictures — there are 7 white cars.

b) What colour car was recorded six (6) times?

Ans: There are 6 black cars.
So, the colour recorded six times is black.

c) What is the total number of red and white cars recorded?

Ans: First, count the red cars — there are 4.

Then count the white cars — there are 7.

To find the total, we add:
4 (red) + 7 (white) = 11

So, there were 11 red and white cars altogether.

Q2. In a class, children were asked about their favourite fruits. Each fruit symbol in the chart below represents one child’s choice. The chart shows how many children liked each type of fruit — bananas, apples, oranges, avocados, and pears.

a) How many children like pear? 

Ans: There are 3 pear pictures, so 3 children like pears.

b) Which fruit do children like the most?

Ans: There are 5 oranges in the chart, which is the highest number. So, most children like oranges.

c) Which fruit do children like the least? 

Ans: Only 2 children chose avocados, which is the smallest number.

Q3. The bar graph shows how many students liked different school subjects: Math, Science, Sport, History, and STEM (Science, Technology, Engineering, and Math). Each bar’s height tells us the number of students who liked that subject.

a) How many liked  STEM? 

Ans: The graph shows 20 students liked STEM.
So the answer is 20.

b) What was the least preferred subject? 

Ans: The shortest bar is for History, with only 4 students.
So, History was the least preferred subject.

c) How many students were surveyed altogether? 

Ans: Let’s add the number of students for each subject:

  • Math: 12
  • Science: 8
  • Sport: 22
  • History: 4
  • STEM: 20

Total = 12 + 8 + 22 + 4 + 20 = 66

So, 66 students were surveyed in total.

Q4. The following pictograph shows the number of pet animals sold in a month –
Each symbol  = 5 pets

(i) How many more Cats were sold as compared to Sheep ?
(a) 25
(b) 10
(c)  20

Ans: (b)
Given that each symbol = 5 pets
So, the number of Catssold = ( 5 x 4 ) = 20
The number of Sheep sold = ( 5 x 2 ) = 10
Number of Cats sold more as compared to Sheep = The number of Cats sold   –  The number of Sheep sold
=  20 – 10 = 10

(ii) How many Parrots were sold in a month?
(a) 16
(b) 15
(c) 10
Ans: 
(b)
Given that each symbol = 5 pets
So, the number of Parrots sold = (5 x 3) = 15

(iii) Which pet was sold the most ?
(a) Parrot
(b) Rabbit
(c) Dog
Ans:
 (c)
Since there are maximum number of symbols for Dog, Dog is sold the most in a month.

(iv) How many Dogs were sold in a month ?
(a) 35
(b) 55
(c) 30
Ans: 
(a)
Given that each symbol = 5 pets
So, the number of Dogs sold =( 5 x 7 )
= 35

(v) Which pet was sold the least ?
(a) Dog
(b) Cat
(c) Sheep
Ans: 
(c)
Since there are minimum numbers of symbols for sheep, therefore Sheep were sold the least.

Q5. The total number of animals in five villages are given below:

Draw a pictograph to represent the above data.
Ans: Each circle represents 10 animals