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## Montgomery College Relative Frequency Distribution Statistics Question

### Question Description

[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
$x$

is at the kth

${k}^{th}$

percentile if k%

$k%$

of the data in the set is less than or equal to x

$x$

.) [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]

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