Question

The total water intake of children of boarding school is recorded throughout the day and then average over the $24$ hour period. The average hourly water intake is plotted against age of children in scatterplot ,where each dot represents the average hourly intake for one child. Which of the following ages has the greatest range of values for the average hourly water intake?

• A. Age $5$
• B. Age $6$
• C. Age $8$
• D. Age $11$

Answer 1

The correct option is D Age $11$

Age $5$ average $=$ $\frac{0.9+1.2+1.3+1.4+1.6+1.7}{6}=1.35$
Age $6$ average $=$ $\frac{1+1.3+1.5+1.6+1.8}{5}=1.44$
Age $8$ average $=$ $\frac{0.9+1+1.2+1.3+1.6+1.8}{6}=1.3$
Age $11$ average $=$ $\frac{1+1.7+1.8+1.9+2}{5}=1.68$
So, age $11$ has the greatest range of values for the average hourly water intake.