5, 8, 6 and k occur with frequency 3, 2, 4, and 1 respectively and have a mean of 5.7. Find the value of k?
| x | f | fx | |
| 5 | 3 | 15 | |
| 8 | 2 | 16 | |
| 6 | 4 | 24 | |
| k | i | k | |
| ∑f=10 | ∑fx=55+k |
Mean = \(\frac{∑fx}{∑f}\)
5.7 = \(\frac{55 + k}{10}\)
57 = 55 + k
k = 57 - 55
k = 2
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