# Free Data Handling 02 Practice Test - 8th Grade

### Question 1

One cannot predetermine the outcome of a random experiment.

True

False

#### SOLUTION

Solution :A

By definition, the outcome of a random experiment cannot be predetermined by definition.

### Question 2

There is a bag which contains 50 balls of same size. 20 of those balls are red in colour and remaining 30 are white. Now, if you take a ball out from the bag what can be said about its colour?

It must be red

It must be white

May be red or white

Getting a red ball and getting white ball are two equally likely outcomes

#### SOLUTION

Solution :C

The withdrawn ball may be of red colour or white colour. Since white balls are 30 in number, it is more likely that withdrawn ball will be white incolour. Similarly, it is less likely that ball will be red. We can never be sure that withdrawn ball is of red or white unless all the balls are of same colour.

### Question 3

There is a box containing 10 ping pong balls of 3 different colours red, green and blue. There are 2 red balls and 3 green balls. What is the probability of getting a blue ball in the first attempt?

12

23

34

56

#### SOLUTION

Solution :A

Total number of Blue Balls= 10-(2+3) =5

Probability of getting Blue Balls

=Number of blue ballsTotal number of balls

=510

=12

### Question 4

What is the lower class limit for the class interval 40 - 70?

55

45

40

35

#### SOLUTION

Solution :C

We know that the lower class limit for a class is the lowest value that can go into that class.

So, the lower class limit for the class 40-70 is 40.

### Question 5

The graph below shows average height of girls at different age. What will be the age of the girl whose height is 65 inches? Refer to the bar graph below to answer this question.

10

20

15

None of these

#### SOLUTION

Solution :C

According to the bar graph, we get to know that a girl whose age is 10 years has a height of 60 inches, if the age is 15 years then the height is 65 inches and lastly if the age is 20 years then the height is 66 inches. Hence the height of the 15 year old girl is 65 inches.

### Question 6

Statement 1: Bar Graph is a graph of rectangles.

Statement 2: Width of the rectangle gives us the quantity that bar is representing.

1 and 2 both are true

1 is true and 2 is false

2 is true and 1 is false

Both 1 and 2 is false

#### SOLUTION

Solution :B

A bar graph is shown in the figure above. As you can see the height of the rectangle gives us the frequency of the object the bar is representing. The width does not represent any quantity. Thus statement 1 is true while statement 2 is false.

### Question 7

The kind of graph the following figure represents is a

#### SOLUTION

Solution :Bar graph is a graph of rectangles where the height of the bar gives us the quantity we are interested in. Thus, the figure above represents a bar graph.

### Question 8

The proportion of time spent in the gym by a person is ____.

(Refer the pie chart given below)

12

112

13

25

#### SOLUTION

Solution :B

Total hours(as per the pie chart)= 12 + 2 + 2 + 8 = 24 hours

Total number of hours spent in the gym = 2 hours

The proportion of time spent in gym

=hours spent in the gymtotal number of hours=224=112

### Question 9

A certain mixture contains gases according to the following proportions. Name the first two gases obtained after they are arranged in the decreasing order of their content.

Oxygen

Carbon dioxide

Sulphur dioxide

Nitrogen

#### SOLUTION

Solution :B and C

According to the pie chart, sulphur dioxide has the highest content which is 50%. Carbon dioxide has 25%. Nitrogen and oxygen combined together have 25% content according to the pie chart. Therefore, when we arrange them in the decreasing order the first gas that we get is sulphur dioxide and the second one is carbon dioxide.

### Question 10

The following data relates to the expenses for a household in Bangalore.

ItemsExpenditure(in Rs)Food4000Clothing2000Rent1500Education1500Miscellaneous1000

The central angle of Clothing will be ___.

36∘

54∘

59∘

72∘

#### SOLUTION

Solution :D

Total expenditure is:

4000 + 2000 + 1500 + 1500 + 1000 = 10,000

Central angle of clothing is

=expenditure on clothingtotal expenditure

=(200010000×360∘)=72∘