A data set is interpreted as a collection of measured or counted values, with tables, scaled bar graphs, and line plots used to identify frequencies, compare categories, describe greatest and least values, and determine differences or totals. The interpretation distinguishes individual data values from how often they occur and supports conclusions grounded in the displayed data, including line plots with fractional measurements; formal statistical measures such as mean, median, and variability analysis are not included.
A data set is a collection of information. A table often shows:
When interpreting a data set, read the labels carefully and use the numbers to compare categories or find totals.
Example: A class surveys students about their favorite pets.
| Favorite pet | Number of students |
|---|---|
| Dog | 9 |
| Cat | 6 |
| Fish | 4 |
| Bird | 2 |
Step 1: Identify what each number means.
The number means 9 students chose dogs. It is the frequency for dogs. The number means 2 students chose birds.
Step 2: Find the greatest and least frequencies.
The greatest number is , so dogs were the most popular choice.
The least number is , so birds were the least popular choice.
Step 3: Find the difference between two categories.
To find how many more students chose dogs than fish, subtract:
So, 5 more students chose dogs than fish.
Step 4: Find the total number of students.
Add all the frequencies:
So, 21 students answered the survey.
Remember: the category tells what is being counted, and the frequency tells how many. Use the frequencies to compare categories, find differences, and calculate totals.
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