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QuestionStatistics
What is the five-number summary for the data 0, 2, 2, 4, 5, 5, 5, 5, 7, 11?
Minimum
Q^1
Median
Q^3
Maximum
When the minimum, 0, is removed from the data set, what is the five-number summary?
Minimum
Q^1
Median
Q^3
Maximum
5 months agoReport content
Answer
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Step 1: Find the minimum, maximum, and ordered data set.
The minimum is the smallest value in the data set, which is 0. The maximum is the largest value in the data set, which is 11. The ordered data set is: 0, 2, 2, 4, 5, 5, 5, 5, 7, 11.
Step 2: Calculate Q^1 (the first quartile).
\frac{2 + 2}{2} = 2
The first quartile is the median of the lower half of the data set. Here, the lower half of the data set is: 0, 2, 2, 4. The median of this set is the average of the two middle numbers: So, Q^1 is 2.
Final Answer
Minimum: 2 Q^1: 3.5 Median: 5 Q^3: 6.5 Maximum: 11
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