Question
Download Solution PDFFind the arithmetic mean of the following data.
| x | 5 | 10 | 15 | 20 | 25 | 30 |
| f | 3 | 5 | 6 | 2 | 1 | 3 |
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
| x | 5 | 10 | 15 | 20 | 25 | 30 |
| f | 3 | 5 | 6 | 2 | 1 | 3 |
Concept:
\(Mean ={\Sigma x\times f\over\Sigma f}\)
Calculation
⇒ \(\Sigma x\times f\) = 5x3 + 10x5 +15x6 + 20x2 + 25x1 + 30x3 = 310
⇒ \(\Sigma f\) = 3 + 5 + 6 + 2 +1 + 3 = 20
⇒ Mean = \(\large{310\over 20 }\)
⇒ Mean = 15.5
∴ the correct answer is 'option 2'.
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