5, 8, 6 and k occur with frequency 3, 2, 4, and 1 respectively an d have a mean of 5.7. Find the value of k
-
A.
4 -
B.
3 -
C.
2 -
D.
1
Correct Answer: Option C
Explanation
| x | f | fx |
| 5 | 3 | 15 |
| 8 | 2 | 16 |
| 6 | 4 | 24 |
| k | i | k |
| ∑f=10 | ∑fx=55+k |
| Mean = | ∑fx |
| ∑fx |
| 5.7 = | 55+k |
| 10 |
57 = 55 + k
k = 57 – 55
k = 2