RBSE Solutions for Class 7 Maths Chapter 17 Data Handling Ex 17.3

RBSE Solutions for Class 7 Maths Chapter 17 Data Handling Ex 17.3 is part of RBSE Solutions for Class 7 Maths. Here we have given Rajasthan Board RBSE Class 7 Maths Chapter 17 Data Handling Exercise 17.3.

Rajasthan Board RBSE Class 7 Maths Chapter 17 Data Handling Ex 17.3

Question 1
Find the mode from the (RBSESolutions.com) following data :
7, 6, 4, 5, 6, 4, 6, 3, 2,7, 8, 6, 4, 6, 5
Solution:
Arranging the observations in ascending order
2, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 7, 7, 8
Here number 6 is repeated 5 times (minimum) so the mode is 6.

Question 2
Vandana took a dice. She tossed the dice 20 times and noted (RBSESolutions.com) the obtained number each time :
3, 4, 6,3, 5, 2, 2, 3, 5, 4, 5, 6, 6, 1, 5, 6, 3, 5, 2, 4
Find the median and mode with the help of above data.
Sol
Arranging the observations in assending order
1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6
n = 20 (even)

Mode: In the observation 5 occurs more urns 5 times so Mode is 5.

Question 3
The weights (in kgs.) of 30 labourors working in (RBSESolutions.com) a factory is as follows :
60, 65, 70, 65, 60, 70, 65, 70, 75, 80, 75, 60, 65, 70, 65, 65, 70, 65, 60, 70, 65, 75, 80, 75, 80, 65, 60, 65, 70, 80. Find the median and mode with the help of above data.
Solution:
Arranging observation in ascending order
60, 60, 60, 60, 60, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 70, 70, 70, 70, 70, 70, 70, 75, 75, 75, 75, 80, 80, 80, 80
No. of observation (n) = 30 even

In the above observations 65 has repeated 10 times which is maximum so the Mode is 65.

Question 4
Find the median of following (RBSESolutions.com) variables 37, 31, 42, 43, 46, 25, 39, 45, 32
Solution:
Arranging in ascending order
25, 31, 32, 37, 39, 42, 43, 45, 46
No. of observations (n) = 9 (odd)

Question 5
The height, 21 persons of a class (RBSESolutions.com) are as follows 147, 149, 150, 152, 148, 151, 148, 150, 151,149,152,151, 152,151,150,148, 149, 152, 153, 151, 152
(i) Find the median and mode of the above data.
(ii) Are there more than one mode in the above data?
Solution:
Arranging the following in ascending order 147, 148, 148, 148, 149, 149, 149, 150, 150, 150, 151, 151, 151, 151, 151, 152, 152, 152, 152, 152, 153
(i) No. of observations (n) = 21 (odd)
Median of observations = \({ \left( \frac { n+1 }{ 2 } \right) }^{ th }\) terms
= \({ \left( \frac { n+1 }{ 2 } \right) }^{ th }\) term = 11 term = 151
Mode of observations =151 and 152 because these are repeated more time (5 times each)
(ii) Yes, 151 and 152 occurs 5 times so the mode of observations is 151 and 152.

Question 6
The runs scored by the players in (RBSESolutions.com) a cricket match are as follows
105, 47, 0, 36, 50, 16, 7, 70, 65, 36, 52
Find the mean median and mode from the above data. Are they all equal?
Solution:
Arranging in ascending order
0, 7, 16, 36, 36, 47, 50, 52, 65, 70, 105
No. of observations (n) = 11 (odd)

So in given observations 36 occurs (RBSESolutions.com) which is maximum
So, Mode is 36
Mean = 44, Median = 47, Mode = 36
All the mean, median and mode are different.

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