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Which five values would be used to graph a box-and-whisker plot for the following set of data? 36, 14, 27, 27, 33, 22, 41, 29

User Sun Bee
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2 Answers

6 votes

Answer:

Lower value: 14

Highest value: 41

Lower quartile: 24.5

Upper quartile: 34.5

Median: 28

Explanation:

User Roet
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6 votes
First put all the number in order from least to greatest:
Q1 Q2 Q3
{14,22,27,(27}{,29),33,36,41}
add/div. by 2 add/div. by 2
28.5 34.5

Minimum: 14 (smallest number)
Quartile 1: 28.5 (middle number of q1)
Quartile 2: 28 (middle number) when you have and even amount of numbers you end up having 2 middle numbers, so you just add them then divide by 2. 27+29=56 56/2=28
Quartile 3: 34.5 (middle number of q3)
Maximum: 41 (biggest number)

I hope this helped you! :)
User Talkingrock
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