Question

Construct a frequency distribution table using the data below: The color of a sample of cars parked in the Macy's/Sears lot in the Galleria mall are as follows: white, white, gray, gray, red, black, gray, black, brown, gray, gray, brown, white, gray, white, black, white, white, gray, white, gray, black, gray, white, gray, brown, gray, gray, white, gray, white, gray, white, white, white, gray, brown, white, gray, gray, black, gray, red, white, gray, white, red, white, gray, white, blue, gray, white, gray, brown, white, red, gray, white, white, gray, white, gray 2. Construct a pie chart using the data above. You must find the percentages and construct by hand (show your work!). Please include all labels and round your percents to one decimal place

Answer 1

The frequency distribution table for the car colors in the Macy's/Sears lot at the Galleria mall is as follows:

Color Frequency

White 23

Gray 22

Black 5

Brown 4

Red 3

Blue 1

Step-by-step explanation:

The frequency distribution table is constructed by counting the occurrences of each car color in the given data. The colors are listed in the left column, and the corresponding frequencies are listed in the right column. For instance, there are 23 white cars, 22 gray cars, 5 black cars, 4 brown cars, 3 red cars, and 1 blue car in the sample.

Now, to construct the pie chart, we need to find the percentage of each color relative to the total number of cars. The total number of cars is calculated by adding up all the frequencies: (23 + 22 + 5 + 4 + 3 + 1 = 58).

To find the percentage of each color, we use the formula:

`\[ \text{Percentage} = \left( \frac{\text{Frequency}}{\text{Total}} \right) * 100 \]`

For example, the percentage of white cars is
`\(\left( (23)/(58) \right) * 100 \approx 39.7\% \).`

Repeat this calculation for each color, rounding the percentages to one decimal place. Once you have the percentages, you can use them to construct the pie chart, where each slice represents a color, and the size of the slice corresponds to the percentage of that color in the total sample.