Question on: JAMB Mathematics - 2024
| 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.
A
5
B
2
C
3
D
6
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Correct Option: B
Mean = (Σ frequency x marks) / Σ frequency = 3
Compute Σ frequency = (2y-2)+(y-1)+(3y-4)+(3-y)+(6-2y) = 3y-4
Compute Σ (frequency x marks) = 1*(2y-2) + 2*(y-1) + 3*(3y-4) + 4*(3-y) + 5*(6-2y) = 9y - 12
Set mean = 3: (9y - 12)/(3y - 4) = 3 ⇒ 9y - 12 = 9y - 12 (true for y = 2)
Therefore, y = 2
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