Question : The table given below shows the number of boys and girls in a school in 6 years.
| Years | Boys | Girls |
| Y1 | 90 | 80 |
| Y2 | 70 | 60 |
| Y3 | 130 | 110 |
| Y4 | 110 | 150 |
| Y5 | 170 | 50 |
| Y6 | 100 | 90 |
Which of the following statements is NOT correct?
I. The number of girls in year Y6 is 9 percent of the number of boys in year Y6.
II. The average number of boys in years Y1 and Y2 are 80.
Option 1: Only I
Option 2: Both I and II
Option 3: Only II
Option 4: Neither I nor II
Correct Answer: Only I
Solution :
I.
The number of girls in year Y6 is 9 percent of the number of boys in year Y6.
The number of girls in year Y6 = 90
The number of girls in year Y6 = 100
$\therefore$ Percentage = $\frac{90}{100}\times100$ = 90%
⇒ Statement I is not correct.
II.
The average number of boys in years Y1 and Y2 are 80.
Number of boys in year Y1 = 90
Number of boys in year Y2 = 70
$\therefore$ Average = $\frac{90+70}{2}=\frac{160}{2}=80$
⇒ Statement II is correct.
Hence, the correct answer is Only I.
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