Marks obtained by 70 students are given below. Marks 20,70,50,60,75,90,40 and No of students 8,12,18,6,9,5,12 find the median. Let me get the accurate and correct answer pls
Answers
X F ♡ X | F| CF
20 8 ♡ 20 |8| 8
70 12♡ 40 |12| 20
90 5 ♡ 50 |18| 38
40 12 ♡ 60 |6 | 44
60 6 ♡ 70 |12| 56
50 18 ♡ 75 |9 | 65
75 9 ♡ 90| 5 | 70
TOTAL 70
median = [ (70/2)th + (70/2 +1)th ] /2
= [ 50 + 50 ] / 2 = 50
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Given : Marks obtained by 70 students
20 8
70 12
50 18
60 6
75 9
90 5
40 12
To Find : Median
Solution:
Arranging the marks in order and finding CF also
M f cf
20 8 8
40 12 20
50 18 38
60 6 44
70 12 56
75 9 65
90 5 70
Mean of 35th and 36th students mark will be the median
which is 50 marks as 21st to 38th students have marks 50 hence 35th and 36th student have 50 marks
Median is 50
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