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Directions (1 - 5): Study the table carefully to answer the questions that follow:
Number of Boys and Girls (in Hundreds) in six different Years in 5 different Schools.
School → A B C D E
Year ↓ Boys Girls Boys Girls Boys Girls Boys Girls Boys Girls
2005 3.3 3.6 5.2 3.1 5.5 4.5 2.4 1.4 6.5 6.6
2006 6.6 4.2 4.9 2.2 6.9 3.3 4.4 2.3 5.5 3.6
2007 9.3 6.9 4.7 4.2 5.8 4.9 6.4 3.3 2.7 2.4
2008 5.4 9.6 6.3 5.4 6.6 5.2 5.3 5.4 5.4 5.7
2009 8.4 12.9 7.5 5.9 8.7 6.6 12.1 5.2 6.8 6.5
2010 12.3 14.4 9.8 4.4 11.7 4.2 12.2 9.4 10.8 12.7
1
The number of girls in school B in the year 2009 is approximately what percent of the total number of students in school E in the year 2006 ?
Discuss
Answer & Solution
Number of girls in School B in 2009
= 5.9 × 100
= 590
Total Number of students in School E in 2006
= (5.5 + 3.6) × 100
= 9.1 × 100
= 910
$$\eqalign{ & \text{Required }\% \cr & = \left(\frac{590}{910}\times100\right)\% \cr & = \frac{5900}{91}\% \cr & = 64.8\% \cr & \approx 65\% \cr} $$
2
In which year is the total number of students the third highest in School E ?
Discuss
Answer & Solution
Total number of students in School E in various years:
2005 → (6.5 + 6.6) × 100
            = 1310
2006 → (5.5 + 3.6) × 100
            = 910
2007 → (2.7 + 2.4) × 100
            = 510
2008 → (5.4 + 5.7) × 100
            = 1110
2009 → (6.8 + 6.5) × 100
            = 1330
2010 → (10.8 + 12.7) × 100
            = 2350
It is highest in 2010, 2nd highest in 2009 and 3rd highest in 2005.
3
What is the average number of girls in school A in all the years taken together ?
Discuss
Answer & Solution
Average number of girls in School A over the years
$$\eqalign{ & = \frac{\left(3.6+4.2+6.9+9.6+12.9+14.4\right)\times100}{6} \cr & = \frac{51.6\times100}{6} \cr & = \frac{5160}{6} \cr & = 860 \cr} $$
4
What is the approximate percentage decrease in the number of boys in School D in the year 2008 as compared to that in the previous year ?
Discuss
Answer & Solution
Number of boys in School D in 2007
= 6.4 × 100
= 640
Number of boys in School D in 2008
= 5.3 ×100
= 530
$$\eqalign{ & \text{Decrease }\% \cr & = \left(\frac{110}{640}\times100\right)\% \cr & = \frac{275}{16}\% \cr & = 17.1\% \cr & \approx 17\% \cr} $$
5
What is the ratio of the number of boys in School C in the year 2009 to the number of girls in School A in the year 2009 ?
Discuss
Answer & Solution
(Number of boys in C in 2009) : (Number of girls in A in 2009)
$$\eqalign{ & = \left(8.7\times100\right) : \left(12.9\times100\right) \cr & = \frac{870}{1290} \cr & = \frac{29}{43} \cr & = 29 : 43 \cr} $$