Data Handling(8th Grade > Mathematics ) Questions and answers for exam Preparation

8th Grade > Mathematics

DATA HANDLING MCQs

Total Questions : 57 | Page 4 of 6 pages

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?

$\frac{3}{4}$
$\frac{1}{14}$
$\frac{3}{7}$
$\frac{4}{7}$

Discuss Question

Answer: Option D. ->

\frac{4}{7}

:
D

$Probability = \frac{Number of favourable outcomes}{Total Number of outcomes}$
Number of green balls (favourable outcomes) =8
Total number of balls (total outcomes) = 14
So probability of getting a green ball
$= \frac{Number of green balls}{Total number of balls}$ $= \frac{8}{14}$ $= \frac{4}{7}$

Question 32.

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

Einstein
Tesla
Newton
Hawking

Discuss Question

Answer: Option A. -> Einstein
:
A

$\begin{matrix} S c i e n t i s t N a m e & F r e q u e n c y H a w k i n g & 1 E i n s t e i n & 4 N e w t o n & 1 T e s l a & 3 F a r a d a y & 2 \end{matrix}$
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.

Question 33.

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.

Discuss Question

Answer: Option A. -> Einstein
:

$\begin{matrix} Height & Number of Students 150-154 & 4 155-159 & 3 160-164 & 2 165-169 & 1 170-174 & 2 175-179 & 2 180-184 & 4 185-189 & 2 Total & 20 \end{matrix}$

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

Question 34.

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

Pictograph is the most favoured graph.
Pie graphs is the least favoured.
Frequency polygon is the least favoured graph.
Line graph is the most favoured graph.

Discuss Question

Answer: Option C. -> Frequency polygon is the least favoured graph.
:
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.

Question 35.

Data arranged in an unorganised manner is called

organised data
Meaningful data
Processed data
Raw data

Discuss Question

Answer: Option D. -> Raw data
:
D

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

Question 36.

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

Rs 100
Rs 900
Rs 750
Rs 375

Discuss Question

Answer: Option D. -> Rs 375
:
D

2 bags comprise Rs 300 so 1 will comprise Rs 150

$And half bag will have \frac{150}{2} = R s . 75$

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

Question 37.

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?

Discuss Question

Answer: Option C. -> 25%
:
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%

Question 38.

One cannot predetermine the outcome of a random experiment.

True
False

Discuss Question

Answer: Option A. -> True
:
A

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

Question 39.

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

Discuss Question

Answer: Option C. -> May be red or white
:
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 40.

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?