The table shows the annual sales revenue for different types of vehicles from four automobile manufacturers.
| | Sales ($ million) | |
|---|---|---|---|---|---|
| | Convertible | SUV | Sedan | Mini Truck | Marginal Total |
| Allison | 45 | 28 | 19 | 36 | 128 |
| B & B Motors | 65 | 22 | 15 | 9 | 111 |
| Pluto Cars | 18 | 25 | 27 | 10 | 80 |
| Panther Motors | 40 | 26 | 34 | 12 | 112 |
| Marginal Total | 168 | 101 | 95 | 67 | 431 |
The company with the highest percentage of sales revenue from sedans is $\square$ . The relative frequency of the revenue earned by that company from sales of sedans compared to its total revenue is $\square$ .
Answer (2)
Calculate the percentage of sedan sales for each company.
Identify the company with the highest percentage, which is Pluto Cars.
Calculate the relative frequency of Pluto Cars' sedan sales to its total sales.
The company with the highest percentage is Pluto Cars, and the relative frequency is 0.3375 .
Explanation
Calculate Percentage of Sedan Sales First, we need to calculate the percentage of sales revenue from sedans for each company. To do this, we will divide the sedan sales revenue by the total sales revenue for each company and then multiply by 100.
Calculating Percentages for Each Company For Allison, the percentage is calculated as follows: 128 19 × 100 = 14.84% For B & B Motors, the percentage is: 111 15 × 100 = 13.51% For Pluto Cars, the percentage is: 80 27 × 100 = 33.75% For Panther Motors, the percentage is: 112 34 × 100 = 30.36%
Identify Company with Highest Percentage Now, we identify the company with the highest percentage of sales revenue from sedans. Comparing the percentages we calculated, Pluto Cars has the highest percentage at 33.75%.
Calculate Relative Frequency Next, we calculate the relative frequency of the revenue earned by Pluto Cars from sales of sedans compared to its total revenue. This is simply the sedan sales revenue divided by the total sales revenue: 80 27 = 0.3375
Final Answer Therefore, the company with the highest percentage of sales revenue from sedans is Pluto Cars, and the relative frequency of their sedan sales revenue compared to their total revenue is 0.3375.
Examples
Understanding sales percentages and relative frequencies can help businesses make informed decisions about their product lines and marketing strategies. For example, if a company sees that a particular type of vehicle has a high relative frequency of sales compared to its total revenue, it may decide to invest more in the production and marketing of that vehicle. This kind of analysis can also help companies identify areas where they may need to improve, such as increasing sales of a particular type of vehicle or improving overall sales revenue.
The company with the highest percentage of sales revenue from sedans is Pluto Cars, which has 33.75%. The relative frequency of Pluto Cars' sedan sales revenue compared to its total revenue is 0.3375.
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