Statistics And Probability Question 490
Question: If the mean of the distribution is 2.6, then the value of y is Variate x 1 2 3 4 5
[Kurukshetra CEE 2001]
Frequency f of x 4 5 y 1 2
Options:
A) 24
B) 13
C) 8
D) 3
Show Answer
Answer:
Correct Answer: C
Solution:
We know that, Mean $ =\frac{\sum\limits_{i=1}^{n}{f_{i}x_{i}}}{\sum\limits_{i=1}^{n}{f_{i}}} $ i.e., $ 2.6=\frac{1\times 4+2\times 5+3\times y+4\times 1+5\times 2}{4+5+y+1+2} $ or $ 31.2+2.6y=28+3y $ or $ 0.4y=3.2 $
Þ $ y=8 $ .
BETA
