find the median of the following distribution. Obtained marks:- 20-29-28-34-42-38-43-25. Number of students:- 5-28-24-15-2-5-1-20
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GIVEN :
Given data arranged in increasing order is ,
No-MO - NoS
1 - 20 - 5
2 - 25 - 20
3 - 28 - 24
4 - 29 - 28
5 - 34 - 15
6 - 38 - 5
7 - 42 - 2
8 - 43 - 1
Where , No - serial Number,
NoS - number of students
MO - marks obtained
TO FIND :
Median of the given data
SOLUTION :
◆We know,
Median is the number that is in halfway of the set.
◆For that , write the data given in increasing order
◆Median of an even number is mean of both numbers that is in the middle of set.
◆Here,
Median = (4th + 5th observation )/2
ANSWER :
Median = (28 + 29)/2 = 28.5.
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