Question
Download Solution PDFBased on the data given in the following table find the arithmetic mean of the marks obtained out of 10 in a class test by the students of a class.
| Marks obtained out of 10 in a class test | Frequency |
| 0 | 3 |
| 1 | 2 |
| 2 | 2 |
| 3 | 4 |
| 4 | 6 |
| 5 | 7 |
| 6 | 7 |
| 7 | 5 |
| 8 | 3 |
| 9 | 4 |
| 10 | 2 |
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
| Marks obtained out of 10 in a class test | Frequency |
| 0 | 3 |
| 1 | 2 |
| 2 | 2 |
| 3 | 4 |
| 4 | 6 |
| 5 | 7 |
| 6 | 7 |
| 7 | 5 |
| 8 | 3 |
| 9 | 4 |
| 10 | 2 |
Concept Used:
Arithmetic Mean = ∑(fi xi )/n
Calculations:
Arithmetic mean = \(\frac{0\times 3+1\times 2+ 2 \times 2+3\times 4+ 4 \times 6+ 5\times 7+ 6\times 7+ 7\times5+8\times 3+ 9\times 4+ 10\times 2}{3+2+2+4+6+7+7+5+3+4+2}\)
Arithmetic mean = \(\frac{234}{45}=5.2\)
∴ The arithmetic mean of the given data is 5.2
Last updated on May 28, 2025
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