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If the range of a data set is 20 and the minimum value is 5, what is the maximum

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Question: If the range of a data set is 20 and the minimum value is 5, what is the maximum value? (2023)

Options:

  1. 15
  2. 20
  3. 25
  4. 30

Correct Answer: 25

Exam Year: 2023

Solution: 

Range = Maximum - Minimum. Therefore, Maximum = Range + Minimum = 20 + 5 = 25.

If the range of a data set is 20 and the minimum value is 5, what is the maximum

Practice Questions

Q1
If the range of a data set is 20 and the minimum value is 5, what is the maximum value? (2023)
  1. 15
  2. 20
  3. 25
  4. 30

Questions & Step-by-Step Solutions

If the range of a data set is 20 and the minimum value is 5, what is the maximum value? (2023)
  • Step 1: Understand the formula for range, which is Range = Maximum - Minimum.
  • Step 2: Identify the values given in the question: the range is 20 and the minimum value is 5.
  • Step 3: Rearrange the formula to find the maximum value: Maximum = Range + Minimum.
  • Step 4: Substitute the known values into the rearranged formula: Maximum = 20 + 5.
  • Step 5: Calculate the maximum value: Maximum = 25.
  • Range – The range of a data set is the difference between the maximum and minimum values.
  • Basic Arithmetic – Understanding how to perform addition and subtraction to solve for unknowns.
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