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

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

Options:

Correct Answer: 20

Solution:

Range = Maximum - Minimum. Therefore, Maximum = Range + Minimum = 15 + 5 = 20.

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

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.