What is the sum of all frequencies in a frequency distribution?

Answer the following critical thinking questions in this forum. Use complete sentences and proper statistical terminology in each answer. Do not copy and paste. Explain in your own words.
Each question has a certain amount of minimum sentences required in your answer as noted in the brackets.
Elementary Statistics Questions:
1. What is the sum of all frequencies in a frequency distribution? (Hint it is not 1) [1 sentence required]
2. Why is the sum of all relative frequencies equal to 1? [1 sentence required]
3. What is the relationship between percentiles and quartiles? Interpret Q1, Q2, & Q3 as percentiles. (Hint: A number
x
is at the
k
t
h
percentile if
k
%
of the data in the set is less than or equal to
x
.) [3 sentences required]
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? [3 sentences required]
5. Why is it important to identify outliers? [2 sentences required]

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