Advertisements
Advertisements
Question
If the mean of the following distribution is 2.6, then the value of y is:
| Variable (x) | 1 | 2 | 3 | 4 | 5 |
| Frequency | 4 | 5 | y | 1 | 2 |
Options
3
8
13
24
MCQ
Advertisements
Solution
8
Explanation:
Consider the following table:
| Variable (x) | Frequency (f) |
fx |
| 1 | 4 | 4 |
| 2 | 5 | 10 |
| 3 | y | 3y |
| 4 | 1 | 4 |
| 5 | 2 | 10 |
| ∑f = 12 + y | ∑fx = 28 + 3y |
Now,
Mean = `(sum"fx")/(sum"f")`
`2.6/1 = (28 + 3y)/(12+y)`
31.2 + 2.6y = 28 + 3y
3y – 2.6y = 31.2 – 28
0.4y = 3.2
y = `(3.2)/(0.4)`
y = 8
shaalaa.com
Is there an error in this question or solution?
