Montgomery College Relative Frequency Distribution Statistics Question

[Minimum length of responses is given in brackets as number of complete sentences required]

Critical Thinking Questions

1. What is the sum of all frequencies in a frequency distribution? (Hint it is not 1) [1]
2. Why is the sum of all relative frequencies equal to 1? [1]
3. What is the relationship between percentiles and quartiles? Interpret Q1, Q2, & Q3 as percentiles. (Hint: A number $x$ is at the $k^{th}$ percentile if $k\%$ of the data in the set is less than or equal to $x$ .) [3]
4. What can you say about a data set when the “box” in the box plot is very wide but the “whiskers” do not go out very far from the box? [2]
5. Why is it important to identify outliers? [2]