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Question
Find the mean and the mode for the following data:
| Term | 18 | 22 | 23 | 30 | 34 | 38 |
| Frequency | 3 | 5 | 10 | 2 | 8 | 2 |
Solution
We prepare the table given below:
| Term (xi) |
Frequency (fi) |
(fixi) |
| 18 | 3 | 54 |
| 22 | 5 | 110 |
| 26 | 10 | 260 |
| 30 | 2 | 60 |
| 34 | 8 | 276 |
| 38 | 2 | 76 |
| Total | 30 | 832 |
Mean = `(∑"f"_"i""x"_"i")/"f"_"i"=832/30=27.73`
Since the frequency of Number 26 is maximum.
∴ Mode = 26
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