Statistics And Probability Question 480
Question: Consider the frequency distribution of the given numbers
| Value: | 1 | 2 | 3 | 4 |
|---|---|---|---|---|
| Frequency: | 5 | 4 | 6 | f |
If the mean is known to be 3, then the value of f is
Options:
A) 3
B) 7
C) 10
D) 14
Show Answer
Answer:
Correct Answer: D
Solution:
Mean = $ \frac{1\times 5+2\times 4+3\times 6+4\times f}{5+4+6+f} $ i.e., $ 3=\frac{5+8+18+4f}{15+f} $
Þ $ 45+3f=31+4f $
Þ $ 45-31=f $
Þ $ f=14 $ .
BETA
