Marks | 1 | 2 | 3 | 4 | 5 |
Frequency | 2y - 2 | y - 1 | 3y - 4 | 3 - y | 6 - 2y |
The table above is the distribution of data with mean equals to 3. Find the value of y.
5
2
3
6
Correct answer is B
Marks (x) | 1 | 2 | 3 | 4 | 5 | |
Frequency (f) | 2y - 2 | y - 1 | 3y - 4 | 3 - y | 6 - 2y | 3y + 2 |
fx | 2y - 2 | 2y - 2 | 9y - 12 | 12 - 4y | 30 - 10y | 26 - y |
Mean = ∑fx∑f
3=26−y3y+2
3(3y+2)=26−y
9y+6=26−y
9y+y=26−6
10y=20⟹y=2