Question

Two thousand two hundred frequent business travelers are asked which midwestern city they prefer: Indianapolis, Saint Louis, Chicago, or Milwaukee. 124 liked Indianapolis best, 416 liked Saint Louis, 1225 liked Chicago, and the remainder preferred Milwaukee. Develop a frequency table and a relative frequency table to summarize this information.

Answer 1

The frequency table and relative frequency table summarize preferences for midwestern cities among business travelers, showing the number of votes and respective percentages for Indianapolis, Saint Louis, Chicago, and Milwaukee.

Step-by-step explanation:

To create the frequency table and the relative frequency table for the es apreferences of midwestern citimong business travelers, we can follow these steps:

• Firstly, tally the votes each city received.
• Then, calculate the total number of travelers who did not vote for the three cities by subtracting the sum of votes for Indianapolis, Saint Louis, and Chicago from the total number of travelers.
• Finally, divide the number of votes for each city by the total number of travelers to find the relative frequencies.

Here is the frequency table:

CityFrequencyIndianapolis124Saint Louis416Chicago1225Milwaukee435

And here is the relative frequency table (assuming the total number of travelers is 2200):

CityRelative FrequencyIndianapolis5.64%Saint Louis18.91%Chicago55.68%Milwaukee19.77%

Note: To obtain the remainder who preferred Milwaukee, we subtract the sum of votes for the other cities from the total:

2200 - (124 + 416 + 1225) = 435

The relative frequencies were calculated by dividing the frequency of each city by the total number of travelers, then converting to percentages.

Answer 2

Frequency Table
City Frequency
Indianapolis 124
Saint Louis 416
Chicago 1,225
Milwaukee 435

Relative Frequency Table
City Relative Frequency
Indianapolis 124/2200 = 31/550
Saint Louis 416/2200 = 52/275
Chicago 1,225/2200 = 49/88
Milwaukee 435/2200 = 87/440