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Displaying Data, SM-Bank 030

A random sample of people were asked what is their favourite winter sport.

The table below recorded the results.

\begin{array} {|l|c|}
\hline
\rule{0pt}{2.5ex} \textbf{Sport} \rule[-1ex]{0pt}{0pt} & \textbf{Number of People} \\
\hline
\rule{0pt}{2.5ex} \text{Netball} \rule[-1ex]{0pt}{0pt} & \text{25} \\
\hline
\rule{0pt}{2.5ex} \text{Aussie Rules} \rule[-1ex]{0pt}{0pt} & \text{35} \\
\hline
\rule{0pt}{2.5ex} \text{Rugby League} \rule[-1ex]{0pt}{0pt} & \text{30} \\
\hline
\rule{0pt}{2.5ex} \text{Ice Hockey} \rule[-1ex]{0pt}{0pt} & \text{10} \\
\hline
\end{array}

  1. Use the information in the table to construct a divided bar graph on the template below. Remember to include a title and labels.  (2 marks)
     

     
  2. Using the data from the survey, predict how many people would choose Aussie Rules if 2000 people were surveyed. (2 marks)

    --- 2 WORK AREA LINES (style=lined) ---

Show Answers Only

a. 

b.    \(700\)

Show Worked Solution
 

a.    \(\text{Total Number Sampled}\) \(=25+35+30+10\)
    \(=100\)

 
\(\text{Division on the template}=\dfrac{100}{20}=5\ \text{people}\)

b.    \(\text{Aussie rules}\) \(=\dfrac{35}{100}\times 2000\)
    \(=700\)

 
\(\therefore\ \text{700 people would be predicted to choose Aussie Rules}\)

Filed Under: Displaying Data Tagged With: num-title-ct-core, smc-5076-15-Sector graphs and Divided Bar graphs

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