EXAMPLE:
The graph below shows the medal collection for sports houses in a school.
Based on the graph, a) State the ratio of medal collection for red, blue and yellow houses. b) Determine the range, median and mean for the medal collected.
SOLUTION: a) State the ratio of medal collection for red, blue and yellow houses. Red house's medal collection: 14 Blue house's medal collection: 42 Yellow house's medal collection: 28
Ratio = Red : Blue : Yellow
\(\text{Ratio}=14:42:28\)
Simplify and we will get
\(=14\color{red}{\div7}:42\color{red}{\div7}:28\color{red}{\div7}\\=2:6:4\)
b) Determine the range, median and mean for the medal collected. Range = Maximum Value - Minimum Value Range = 42 -14 = 28 Median = Middle Value By sorting in ascending order, we will get 14, 28 and 42. Median = 28 Min = Total of medals \(\div\) Number of houses \(=\frac{42+28+14}{3}\\=\frac{84}{3}\)
\(\text{Mean}=28\)
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