Data Handling(7th Grade > Mathematics ) Questions and answers for exam Preparation

7th Grade > Mathematics

DATA HANDLING MCQs

Total Questions : 114 | Page 6 of 12 pages

Question 51. The range of a data set is either less than or equal to its mean. State whether true or false.

True
False
6
34

Discuss Question

Answer: Option B. -> False
:
B
Range can be greater than, less than or equal to the mean.
For e.g.:
1. Data Set = {2,10}
Range = 8
Mean = 6
Here, range is greater than mean.
2. Data Set = {3,9}
Range = 6
Mean = 6
Here, range is equal to mean.
3. Data Set ={3,5}
Range = 2
Mean = 4
Here, range is less than mean.

Question 52. Which of the following data sets are organised?

\begin{matrix} Data set 1 & 5 & 7 & 12 & 18 & 25 & 28 & 34 & 67 & 78 & 98 Data set 2 & 101 & 96 & 76 & 69 & 56 & 49 & 44 & 35 & 23 & 11 Data set 3 & 2 & 8 & 54 & 65 & 32 & 11 & 13 & 25 & 4 & 33 \end{matrix}

Sets 1 and 2
Sets 2 and 3
Sets 1 and 3
None of the above

Discuss Question

Answer: Option A. -> Sets 1 and 2
:
A
Data set 1 is in ascending order, whereas data set 2 is in descending order. So, both of them are organized. But we can see that data set 3 is random.Hence, it is anunorganised data set.

Question 53. The bar graph shown below gives the number of goals scored by a football player AJU. Find the difference between the range and mean of the goals scored by AJU in these 5 matches.

Discuss Question

Answer: Option B. -> 0.6
:
B

M e a n = \frac{S u m o f a l l o b s e r v a t i o n s}{T o t a l n u m b e r o f o b s e r v a t i o n s}

M e a n = \frac{2 + 4 + 3 + 1 + 2}{5} = \frac{12}{5} =

2.4

Range = highest observation- lowest observation

R a n g e = 4 - 1 =

Difference between range and mean

= 3 - 2.4 = 0.6

Question 54. Mean, median and mode are also known as the measures of __ of a data set.

Discuss Question

:
A measure of central tendency is a single value that attempts to describe a set of data by identifying the central position within that set of data. The mean, median and mode are all valid measures of central tendency, but under different conditions, some measures of central tendency become more appropriate to use than others.

Question 55.

Given below is the table of the marks of 10 students. For getting promoted to section A, a student has to score more marks than the average. Can you tell me from the given options, which student will not be promoted to Section A?

$\begin{matrix} Name & Marks & Name & Marks Pavani & 79 & Ajit & 77 Goutham & 81 & Kushagra & 73 Deepthi & 68 & Manish & 94 Pavan & 85 & Satyam & 81 Akash & 62 & Sarosh & 80 \end{matrix}$

Pavani
Sarosh
Deepthi
Goutham

Discuss Question

Answer: Option C. -> Deepthi
:
C

We know that,
$A v e r a g e = \frac{S u m o f a l l o b s e r v a t i o n s}{T o t a l n u m b e r o f o b s e r v a t i o n s}$ 
Average marks= $\frac{79 + 81 + 68 + 85 + 62 + 77 + 73 + 94 + 81 + 80}{10}$ = $\frac{780}{10}$ =78.

Students who scored less marks than the average, won't be promoted to section A. So, from the given options, only Deepthi has lesser marks than 78.

Question 56.

Which of the following is always equal to one of the observations in the data set?

Median
Mode
Both median & mode
Mean

Discuss Question

Answer: Option B. -> Mode
:
B

Mean and Range may or may not be equal to any of the observations from the data set. Median is one of the observations if the number of observations is odd. If it's even, median also won't be equal to one of the observations. But mode is always equal to one of the observations.

Question 57.

Median is defined as:

the data which is the largest in a data set.
the data which lies in the middle of an organised data set.
same as mean.
the observation that occurs most frequently.

Discuss Question

Answer: Option B. -> the data which lies in the middle of an organised data set.
:
B

Median is defined as the data which lies in the middle of an organised data set. Median refers to the value which lies in the middle of the data (when arranged in an increasing or decreasing order) with half of the observations above it and the other half below it.

Question 58.

What is the probability of getting an ACE from a deck of well-shuffled cards if the total number of cards are 52 and there are 4 ACEs in it?

$\frac{1}{13}$
$\frac{4}{13}$
$\frac{2}{13}$
$\frac{3}{13}$

Discuss Question

Answer: Option A. ->

\frac{1}{13}

:
A

Probability of getting ACE from a deck of shuffled cards = $\frac{Number of favourable outcomes}{Total number of outcomes} = \frac{4}{52} = \frac{1}{13}$ .

Question 59.

In the game of ludo, you start your move if you get 6 after throwing the dice for the first time. What is the probability that you will start your move after the first throw?

$\frac{1}{3}$
$\frac{1}{4}$
$\frac{1}{5}$
$\frac{1}{6}$

Discuss Question

Answer: Option D. ->

\frac{1}{6}

:
D

The probability of getting digit '6' (from the digits 1,2,3,4,5,6) after throwing the dice for the first time
$= \frac{Number of favourable outcomes}{Total number of outcomes} = \frac{1}{6}$
Here the total number of outcomes is 6 and the number of favourable outcomes is 1 as the value of '6' is there for one time.

Question 60.

If the X- axis represents various fruits purchased and the Y-axis represents sales(in kgs), then match the following.

1-a , 2-b , 3-d , 4-c , 5-e
1-c , 2-d , 3-b , 4-e , 5-a
1-d , 2-c , 3-a , 4-b , 5-e
1-b , 2-c , 3-e , 4-a , 5-d

Discuss Question

Answer: Option B. -> 1-c , 2-d , 3-b , 4-e , 5-a
:
B

As seen from the graph,
the quantity of apples sold = 5 kg,
the quantity of mangoes sold= 15 kg,
the quantity of bananas sold = 20 kg,
the quantity of pineapples sold = 10 kg and
the quantity of papayas sold = 25 kg.
Thus, 1 - c, 2 - d, 3 - b, 4 - e, 5 - a is correct.