Sum
The distribution, given below, shows the marks obtained by 25 students in an aptitude test. find the mean, median and mode of the distribution.
Marks obtained | 5 | 6 | 7 | 8 | 9 | 10 |
No.of students | 3 | 9 | 6 | 4 | 2 | 1 |
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Solution
Marks obtained(x) | No.of student (f) | c.f | fx |
5 | 3 | 3 | 15 |
6 | 9 | 12 | 54 |
7 | 6 | 18 | 42 |
8 | 4 | 22 | 32 |
9 | 2 | 24 | 18 |
10 | 1 | 25 | 10 |
total | 25 | 171 |
Number of terms=25
Mean=`171/25=6.84`
Median`= (25+1^("th"))/2 "term" = 13^"th" "term" =7`
Mode = 6 as it has maximum frequencies i.e. 6
Concept: Concept of Median
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