Exercise 3.2 (Revised) - Chapter 3 - Data Handling - Ncert Solutions class 7 - Maths

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Chapter 3: Data Handling - NCERT Solutions for Class 7 Maths | Comprehensive Guide

Question 1.

The scores in mathematics test (out of 25) of students is as follows:
$
19,25,23,20,9,20,15,10,5,16,25,20,24,12,20
$

Find the mode and median of this data. Are they same?

Answer:

Arranging the given data in ascending order,
$
5,9,10,12,15,16,19,20,20,20,20,23,24,25,25
$

Mode is the observation occurred the highest number of times.
Therefore, Mode $=20$

Median is the middle observation $=20$

Yes, Mode and Median are same of given observation.

Question 2.

The runs scored in a cricket match by 11 players is as follows:
$
6,15,120,50,100,80,10,15,8,10,15
$

Find the mean, mode and median of this data. Are the three same?

Answer:

Arranging the given data in ascending order,

$
\begin{aligned}
& 6,8,10,10,15,15,15,50,80,100,120 \\
& \text { Mean }=\frac{\text { Sum of observations }}{\text { Number of observations }} \\
& =\frac{6+8+10+10+15+15+15+50+80+100+120}{11}=\frac{429}{11}=39
\end{aligned}
$

Mode is the observation occurred the highest number of times $=15$

Median is the middle observation $=15$

Therefore, Mode and Median is 15 .
No, the mean, median and mode are not same.

Question 3.

The weight (in $\mathrm{kg}$ ) of 15 students of a class are:
$
38,42,35,37,45,50,32,43,43,40,36,38,43,38,47
$
(i) Find the mode and median of this data.
(ii) Is there more than one mode?

Answer:

Arranging the given data in ascending order,
$
32,35,36,37,38,38,38,40,42,43,43,43,45,47,50
$
(i) Mode is the observation occurred the highest number of times.

Therefore, Mode $=38$ and 43
(ii) Median is the middle observation $=40$

Yes, there are 2 modes.

Question 4.

Find the mode and median of the data:
$
13,16,12,14,19,12,14,13,14
$

Answer:

Arranging the given data in ascending order,
$
12,12,13,13,14,14,14,16,19
$

Mode is the observation occurred the highest number of times $=14$
Median is the middle observation $=14$

Ex 3.2 Question 5.

Tell whether the statement is true or false:
(i) The mode is always one of the numbers in a data.
(ii) The mean is one of the numbers in a data.
(iii) The median is always one of the numbers in a data.
(iv) The data $6,4,3,8,9,12,13,9$ has mean 9 .

Answer:

(i) True
(ii) False
(iii) True
(iv) False