Question

1. for the quantitative question, find the mean answer value. for the qualitative questions, find the percent of answers in each category. the mean is 4.67. 24% of people like to go hiking 5. display the data from the surveys graphically. use pie charts, bar graphs, dot plots, or any other graph type of your choice. 6. write a short summary paper of your results (approx. a page) as if you were writing an article for a newspaper or magazine, explaining your survey project. were your results surprising or expected? do you think your survey project representative of larger population groups? do you think your results would be different if you surveyed a different group of people? why or why not. in discussing the answers to these writing prompts, cite the statistics you calculated

Explanation:

Step1: Identify the quantitative data

The first - column of numbers represents the number of days people prefer to travel in a week.

Step2: Calculate the sum of the quantitative data

Sum all the values in the first column: \(4 + 2+2 + 3+5+4+4+10+3+3+5+5+3+3+1+5+7+7+5+7+7+3+7+6+5+5+7+7+7+3=140\)

Step3: Count the number of data points

Count the number of rows in the data. There are 30 data points.

Step4: Calculate the mean

The mean \(\bar{x}=\frac{\text{Sum of data}}{\text{Number of data points}}=\frac{140}{30}\approx4.67\)

For the qualitative question about the activity:

Step1: Count the number of responses for each category

• Hiking: Count the number of 'A's. There are 7 'A's.
• Swimming: Count the number of 'B's. There are 13 'B's.
• Skiing: Count the number of 'C's. There are 4 'C's.
• Picnicking: Count the number of 'D's. There are 6 'D's.

Step2: Calculate the percentage for each category

• Total number of responses = \(7 + 13+4+6=30\)
• Percentage of hiking: \(\frac{7}{30}\times100\%\approx23.33\%\approx24\%\)
• Percentage of swimming: \(\frac{13}{30}\times100\%\approx43.33\%\)
• Percentage of skiing: \(\frac{4}{30}\times100\%\approx13.33\%\)
• Percentage of picnicking: \(\frac{6}{30}\times100\% = 20\%\)

Answer:

The mean of the quantitative data (number of days people prefer to travel in a week) is approximately \(4.67\). The percentage of people who like hiking is about \(24\%\), swimming is about \(43\%\), skiing is about \(13\%\), and picnicking is about \(20\%\)