Below are the scores of a group of students in ... - JAMB Mathematics 1990 Question
Below are the scores of a group of students in a test
(\begin{array}{c|c} Scores & 1 & 2 & 3 & 4 & 5 & 6 \ \hline \text{No. of students} & 1 & 4 & 5 & 6 & x & 2\end{array})
If the average scores is 3.5, find the value of x
A
1
B
2
C
3
D
4
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Correct Option: B
(\begin{array}{c|c} Scores & 1 & 2 & 3 & 4 & 5 & 6 \ \hline \text{No. of students} & 1 & 4 & 5 & 6 & x & 2\end{array})
Average = 3.5
3.5 = (\frac{(1 \times 1) + (2 \times 4) + (3 \times 5) + (4 \times 6) + 5x + (6 \times 2)}{1 + 4 + 5 + 6 + x + 2})
(\frac{3.5}{1}) = (\frac{1 + 8 + 15 + 24 + 5x + 12}{18 + x})
(\frac{3.5}{1}) = (\frac{60 + 5x}{18 + x})
60 + 5x = 3.5(18 (\div) x)
60 + 5x = = 63 + 1.5x
5x - 1.5x = 63 - 60
1.5x = 3
x = (\frac{3}{1.5})
(\frac{30}{15}) = 2
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