# Free Data Handling 01 Practice Test - 8th Grade

A bag contains 1 red ball, 1 green ball, 2 blue balls and 1 black ball. What is the probability of getting a white ball?

A.

0

B.

15

C.

14

D.

1

#### SOLUTION

Solution : A

The probability of getting a white ball is 0 as there are 0 white balls.

A bag has 6 red balls and 8 green balls. A ball is drawn from a bag without looking into the bag. What is the probability of getting a green ball?

A.

34

B.

114

C.

37

D.

47

#### SOLUTION

Solution : D

Probability=Number of favourable outcomesTotal Number of outcomes

Number of green balls (favourable outcomes) =8

Total number of balls (total outcomes) = 14

So probability of getting a green ball
=Number of green ballsTotal number of balls =814 =47

A coin is thrown and it lands on a chess board. Find the probability of it landing on a white square if it falls exactly inside a square.

A.

164

B.

132

C.

14

D.

12

#### SOLUTION

Solution : D

Probability=Number of favourable outcomesTotal Number of outcomes

Number of white squares (favourable outcomes) = 32

Total number of squares or outcomes = 64

So probability of coin falling in a white square
=Number of white squaresTotal number of squares
=3264
=12

In a game of cards, 7 cards are taken and numbered 1 to 7. The probability of getting an even number and the probability of getting an odd number are equal.

A.

True

B.

False

#### SOLUTION

Solution : B

The cards are numbered as 1,2,3,4,5,6,7

Total number of outcomes = 7

Number of odd numbers (favourable outcomes) = 4

Number of even numbers (favourable outcomes) = 3

Probability=Number of favourable outcomesTotal Number of outcomes

Probability of getting odd number
=Number of odd numbered cardsTotal number of cards;
=47

Probability of getting even number
=Number of even numbered cardsTotal number of cards
=37

Probabilities are different. Hence, the statement is false.

Arrange the given heights of 20 students in grouped distribution with a class interval of 5. The number of students above the height of 169cm is ___ Heights (in cm): 150, 153, 162, 170, 186, 153, 162, 180, 165, 150, 178, 156, 184, 176, 173, 186, 159, 183, 180, 156.

#### SOLUTION

Solution :

HeightNumber of Students150-1544155-1593160-1642165-1691170-1742175-1792180-1844185-1892Total20

Number of students above the height of 169 = 2+2+4+2=10

In a class, the teacher asks the students to name few scientists. The names that students told were -
Which name has the highest frequency?

A.

Einstein

B.

Tesla

C.

Newton

D.

Hawking

#### SOLUTION

Solution : A

From the above frequnecy table, we find that the maximum frequency is 4 which corresponds to Einstein.

Hence, Einstein is the name whose frequency is the highest.

Data arranged in an unorganised manner is called

A.

organised data

B.

Meaningful data

C.

Processed data

D.

Raw data

#### SOLUTION

Solution : D

Data available to us in an unorganised form is called raw data.

Using this pictorial representation of the amount of money possessed by 3 friends find the amount of money that Ram has. A.

Rs 100

B.

Rs 900

C.

Rs 750

D.

Rs 375

#### SOLUTION

Solution : D

2 bags comprise Rs 300 so 1 will comprise Rs 150

And half bag will have 1502=Rs.75

So, 2 bags and a half comprise 300 + 75 = Rs 375

The graph below shows the usage of graph types in a school. Choose the correct options on basis of data given. A.

Pictograph is the most favoured graph.

B.

Pie graphs is the least favoured.

C.

Frequency polygon is the least favoured graph.

D.

Line graph is the most favoured graph.

#### SOLUTION

Solution : C and D

Line graphs are the most favoured graphs in the school as it has the highest value on the Y-axis of 9.Frequency polygon is the least favoured as it has the smallest value of just 1. The above pie chart depicts the percentage of students being girls and boys in the mechanical branch of NIT Trichy college. If the red coloured portion represents the boys' percentage then what is the percentage of girls in the class?

A.

10%

B.

75%

C.

25%

D.

5%

#### SOLUTION

Solution : C

The total area of the pie chart (gilrs and boys) = 100%

The white region is the percentage of girls = 100% – percentage of boys

100% -75%  = 25 %

The percentage of the girls in the class is 25%