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Q.



The weights (in kg.) of 15 students of a class are:
38, 42, 35, 37, 45, 50, 32, 43, 43, 40, 36, 38, 43, 38, 47
The mode and median of this data are:

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a

Mode = 38,41 and Median = 35

b

Mode = 38,43 and Median = 40

c

Mode = 38,45 and Median = 20

d

Mode = 33,42 and Median = 25 

answer is B.

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Detailed Solution

Given the weights (in kg.) of 15 students of a class is 38, 42, 35, 37, 45, 50, 32, 43, 43, 40, 36, 38, 43, 38, 47.
Mode can be defined as the number which occurs most number of times.
Here, 38 and 43 are the mode as they both occurs 3 times.
Now, the number of observation n   =15
Median = n+1 2 th   observation.
= 15+1 2 th   observation
= 16 2 th = 8 th observation  
= 40
The modes are 38 and 43 whereas median is 40.
Therefore, option 2 is correct.
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