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QuestionStatistics
Which of the statements below is true for the following set of numbers?
20, 15, 50, 85, 75, 60
A. The range is 70 and the midrange is 35.
B. The range is 70 and the midrange is 50.
C. The range is 85 and the midrange is 55.
D. The range and the midrange are equal.
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Answer
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Step 1:I'll solve this step by step, using the precise LaTeX formatting guidelines:
Step 2:: Calculate the Range
- Range: $$85 - 15 = 70
- The range is the difference between the maximum and minimum values in a dataset
Step 3:: Calculate the Midrange
- Midrange is calculated by $$\frac{maximum + minimum}{2}
- \frac{85 + 15}{2} = \frac{100}{2} = 50
Step 4:: Compare the Results
- Range = $$70
- Midrange = 50 - The range and midrange are NOT equal
Step 5:: Evaluate the Given Statements
- Statement C: Range = $$85$$, Midrange = $$55$$ (False)
- Statement B: Range = 70, Midrange = 50 (True) - Statement D: Range and midrange are equal (False)
Final Answer
The range is 70 and the midrange is 50.
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