Mathematics
The following table shows the distribution of the marks obtained by 50 students in an aptitude test.
Marks obtained | No. of students |
---|---|
15 | 6 |
18 | 18 |
21 | 12 |
24 | 8 |
27 | 4 |
30 | 2 |
Find the mean, the median and the mode of the distribution.
Statistics
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Answer
Marks obtained (x) | No. of students (f) | Cumulative frequency | fx |
---|---|---|---|
15 | 6 | 6 | 90 |
18 | 18 | 24 | 324 |
21 | 12 | 36 | 252 |
24 | 8 | 44 | 192 |
27 | 4 | 48 | 108 |
30 | 2 | 50 | 60 |
Total | 50 | 1026 |
By formula,
Mean = = 20.52
From table,
n (no. of terms) = 50, which is even.
By formula,
Median = th term
= = 25th term.
From table,
Marks obtained from 25th to 36th student = 21.
∴ Median = 21.
Maximum students have scored 18 marks.
∴ Mode = 18.
Hence, mean = 20.52, median = 21 and mode = 18.
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