Question
Download Solution PDFWhat is the mean of the following distribution?
| Marks | 10 | 30 | 50 | 70 | 90 |
| Number of students | 17 | 28 | 32 | 24 | 19 |
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
| Marks | 10 | 30 | 50 | 70 | 90 |
| Number of students | 17 | 28 | 32 | 24 | 19 |
Concept used:
Mean = \(\frac{Sum\ of\ observations}{Total\ number\ of\ observations}\)
Calculation:
According to the question,
Mean = \(\frac{Sum\ of\ observations}{Total\ number\ of\ observations}\)
= \(\frac{(10 × 17 + 30 × 28 + 50 × 32 + 70 × 24 + 90 × 19)}{(17 + 28 + 32 + 24 + 19)}\)
= \(\frac{(170 + 840 + 1600 + 1680 + 1710)}{120}\)
= \(\frac{6000}{120}\)
= 50
Hence, The Required mean value is 50.
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