Frequency Distribution Table for Car Sales

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Questions and Answers

In a frequency distribution table, what does the 'frequency' represent?

  • The range of values within each category.
  • The count of each category of the variable. (correct)
  • The total value of all variables.
  • The average of all categories.

The sum of all relative frequencies in a frequency distribution must equal 100.

False (B)

If a car dealership sold a total of 500 cars, and 125 of them were SUVs, what is the relative frequency of SUVs?

0.25

To calculate the percent frequency, you multiply the relative frequency by ______.

<p>100</p> Signup and view all the answers

A car dealership sold 400 cars in a month. If the relative frequency of sedans is 0.35, the relative frequency of trucks is 0.4, and the relative frequency of hatchbacks is 0.2, what is the relative frequency of sports cars?

<p>0.05 (C)</p> Signup and view all the answers

A frequency distribution can only be used for numerical data.

<p>False (B)</p> Signup and view all the answers

Which of the following statements correctly describes how a frequency distribution can inform business decisions?

<p>It can identify which product categories are most popular. (C)</p> Signup and view all the answers

A car dealership sells 5 types of vehicles. The percent frequencies are: Sedans (25%), SUVs (30%), Trucks (20%) and Minivans (15%). What is the percent frequency of Hatchbacks?

<p>10% (C)</p> Signup and view all the answers

Flashcards

Frequency Distribution

A data summary, usually in table form, showing the count of each category in a variable.

Frequency

The count of items in a particular category.

Relative Frequency

The frequency of a category divided by the total number of observations.

Percent Frequency

Relative frequency expressed as a percentage.

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Variable (in car sales)

Cars sold in the past month.

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Categories (in car sales)

Minivans, SUVs, convertibles, and electric vehicles.

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Calculate Relative Frequency

Divide each category's frequency by the total number of observations.

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Calculate Percent Frequency

Multiply the relative frequency by 100.

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Study Notes

  • A car dealership owner wants to know which of the four car types - minivans, SUVs, convertibles, and electric vehicles - sold the most in the past month.

Frequency Distribution Table

  • The question can be answered by constructing this.
  • It's a data summary, usually in table format.
  • It displays the frequency, or count, of each category of the variable.
  • In this case the variable is cars sold in the past month.
  • The categories are the four types of cars sold at the dealership.
  • Each car sold can be grouped into one of the four categories: minivans, SUVs, convertibles, and electric vehicles.
  • Suppose a dealership sold 750 total cars in the past month
  • 312 were minivans, 102 were SUVs, 80 were convertibles, and 256 were electric vehicles.
  • The counts of cars sold in each category represent the frequency of the variable, or cars sold in the past month.

Relative and Percent Frequency

  • These can be computed for the frequency distribution.
  • This is done by dividing the frequency of each category by the total number of cars sold.
  • The relative frequency in the category of minivans is 312 divided by 750, which equals 0.416.
  • The relative frequencies of SUVs, convertibles, and electric vehicles that were purchased in the last month are 0.136, 0.106, and 0.341, respectively.
  • When all the relative frequencies are summed, the value is 1.
  • Multiplying the relative frequency by 100 gives the percent frequency.
  • When all the percent frequencies are added, the sum is 100%.
  • The minivan and electric vehicle categories have the highest percent frequencies.
  • They are 41.6% and 34.1%, respectively.
  • The SUV and convertible categories have small percent frequencies, at 13.6% and 10.6% respectively.
  • With the frequency distribution completed, it can be stated that out of all the cars sold in the past month, minivans sold the most frequently.
  • Electric vehicles were second.

Usefulness of Frequency Distributions

  • They are useful for summarizing raw data into a form that is easier to interpret.

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