There were 550 people registered for a conference. There were only three sessions, which were held at different times during the day. No session times conflicted with any other session time. A post-conference survey that the attendees completed showed that: ❖ 500 people attended Session A ❖ 450 people attended Session B ❖ 425 people attended Session C ❖ 400 people attended both Sessions A and B ❖ 410 people attended both Sessions B and C ❖ 415 people attended both Sessions A and C ❖ 390 people attended all three sessions A, B, and C For the following questions, you may create a Venn Diagram at the bottom or show your calculations to explain your reasoning. a) How many people attended none of the three sessions? Explain. b) How many people attended Session A but not Sessions B or C? Explain. c) How many people attended exactly two sessions? Explain.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
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There were 550 people registered for a conference. There were only three sessions, which
were held at different times during the day. No session times conflicted with any other
session time. A post-conference survey that the attendees completed showed that:

❖ 500 people attended Session A
❖ 450 people attended Session B
❖ 425 people attended Session C
❖ 400 people attended both Sessions A and B
❖ 410 people attended both Sessions B and C
❖ 415 people attended both Sessions A and C
❖ 390 people attended all three sessions A, B, and C

For the following questions, you may create a Venn Diagram at the bottom or show
your calculations to explain your reasoning.

a) How many people attended none of the three sessions? Explain.

b) How many people attended Session A but not Sessions B or C? Explain.

c) How many people attended exactly two sessions? Explain. 

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