The marks obtained by the student in a test of 20 marks in Mathematics are as
follows. Find the median of the information.
Marks
4
6
10
15
18
20
Number of students
2
4
8
12
3
1
Answers
Answer:
Median will be 15 marks....
Solution :-
Marks Number of Students CF
4 2 2
6 4 6
10 8 14
15 12 26
18 3 29
10 1 30
we know that,
- Median when n is even number = [(n/2)th term + (n/2) + 1 th term]/2
so,
→ n = Total number of students = 30
then,
→ Median = [(30/2) th term + (30/2 + 1) th term]
→ Median = [15th term + 16th term]/2
since , both 15th and 16th students has scored 15 marks .
therefore,
→ Median = (15 + 15)/2
→ Median = 30/2
→ Median = 15 (Ans.)
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