If the range of a data set is 15 and the minimum value is 5, what is the maximum

Practice Questions

Q1
If the range of a data set is 15 and the minimum value is 5, what is the maximum value?
  1. 10
  2. 15
  3. 20
  4. 25

Questions & Step-by-Step Solutions

If the range of a data set is 15 and the minimum value is 5, what is the maximum value?
Correct Answer: 20
  • Step 1: Understand what the range of a data set means. The range is the difference between the maximum value and the minimum value.
  • Step 2: Write down the formula for range: Range = Maximum - Minimum.
  • Step 3: Substitute the known values into the formula. We know the range is 15 and the minimum value is 5.
  • Step 4: Rewrite the formula using the known values: 15 = Maximum - 5.
  • Step 5: To find the maximum value, rearrange the equation: Maximum = Range + Minimum.
  • Step 6: Substitute the values into the rearranged equation: Maximum = 15 + 5.
  • Step 7: Calculate the maximum value: Maximum = 20.
  • Range – The range of a data set is the difference between the maximum and minimum values.
  • Basic Arithmetic – Understanding how to perform addition to find the maximum value from the given range and minimum.
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