Problem

8. Prepare a circle or pie graph to display the following sales of running shoes. Show all work in calculating the degrees in the circle or pie graph that each brand of shoe represents.
10 marks
\begin{tabular}{lc}
Brand & Number sold \\
Brooks & 12 \\
New Balance & 21 \\
Asics & 55 \\
Adidas & 60 \\
Reebok & 5 \\
Saucony & 36 \\
Nike & 48 \\
& 237
\end{tabular}

Answer

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Answer

\(\boxed{\text{Final Answer: The degrees that each brand represents in the pie chart are as follows: Brooks: 18.23°, New Balance: 31.90°, Asics: 83.54°, Adidas: 91.14°, Reebok: 7.59°, Saucony: 54.68°, Nike: 72.91°.}}\)

Steps

Step 1 :Given the sales data for each brand of running shoes, we need to prepare a pie chart to represent the sales. The data is as follows: Brooks sold 12 pairs, New Balance sold 21 pairs, Asics sold 55 pairs, Adidas sold 60 pairs, Reebok sold 5 pairs, Saucony sold 36 pairs, and Nike sold 48 pairs. The total sales are 237 pairs.

Step 2 :To represent this data on a pie chart, we need to calculate the percentage of total sales that each brand represents. This can be done by dividing the number of pairs sold by each brand by the total sales, and then multiplying by 100 to get the percentage.

Step 3 :Next, we need to convert these percentages into degrees for the pie chart. Since a circle has 360 degrees, we can do this by multiplying each brand's percentage of total sales by 360.

Step 4 :Doing these calculations, we find that Brooks represents 18.23 degrees, New Balance represents 31.90 degrees, Asics represents 83.54 degrees, Adidas represents 91.14 degrees, Reebok represents 7.59 degrees, Saucony represents 54.68 degrees, and Nike represents 72.91 degrees on the pie chart.

Step 5 :\(\boxed{\text{Final Answer: The degrees that each brand represents in the pie chart are as follows: Brooks: 18.23°, New Balance: 31.90°, Asics: 83.54°, Adidas: 91.14°, Reebok: 7.59°, Saucony: 54.68°, Nike: 72.91°.}}\)

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