Question

In this exercise, data from the StudentSurvey dataset is given.

Of thestudent submitted image, transcription available belowstudents who answered the question about the number of piercings they had in their body,student submitted image, transcription available belowhad no piercings,student submitted image, transcription available belowhad one or two piercings, and the rest had more than two.

Construct a relative frequency table of the data using the categories given.

Click here for the dataset associated with this question.

Give the relative frequencies rounded to three decimal places.
Response
Relative Frequency

No Piercing
student submitted image, transcription available below

One or two piercings
student submitted image, transcription available below

More than two piercings
student submitted image, transcription available below

Total
student submitted image, transcription available below

Answer 1

To construct a relative frequency table, divide the frequency of each category by the total number of responses and express this as a decimal rounded to three places.

Step-by-step explanation:

Constructing a relative frequency table involves calculating the proportion each category represents in the total number of responses. To calculate the relative frequencies, you divide the frequency of each category by the total number of responses and round to three decimal places, as requested.

Let's say we have the following frequencies given in the dataset for piercings: 'No Piercings' (x students), 'One or two piercings' (y students), and 'More than two piercings' (z students). The total number of students would therefore be x+y+z. The relative frequency for each category is found by dividing the number of students in each category by the total number of students (x+y+z). This will give us the relative frequencies for each category.

For example:

• No Piercing: The relative frequency is x / (x+y+z).
• One or two piercings: The relative frequency is y / (x+y+z).
• More than two piercings: The relative frequency is z / (x+y+z).
• Total: The sum of all relative frequencies should equal 1 or 100%.