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QuestionStatistics
Which of the statements below is true for the following set of numbers?
42, 20, 36, 51, 60, 28
The range is 14 and the midrange is 35.
The range is 60 and the midrange is 39.
The range is 40 and the midrange is 20.
The range and the midrange are equal.
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Answer
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Step 1:Let's solve this step by step:
Step 2:: Calculate the Range
- Range = $$60 - 20 = 40
The range is the difference between the largest and smallest numbers in the set.
Step 3:: Calculate the Midrange
- Midrange = $$\frac{60 + 20}{2} = \frac{80}{2} = 40
The midrange is the average of the largest and smallest numbers.
Step 4:: Compare the Statements
Let's check each statement:
Step 5:
Range = 14, Midrange = 35 ❌ (Incorrect)
Step 6:
Range = 60, Midrange = 39 ❌ (Incorrect)
Step 7:
Range = 40, Midrange = 20 ❌ (Incorrect)
Step 8:
Range and Midrange are equal ✅ (Correct)
Final Answer
The range is 40 and the midrange is also 40.
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