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McKenzie found the variation of the data set below by finding the range. McKenzie says that the range is 5. Did McKenzie find the range correctly?

Question

McKenzie found the variation of the data set below by finding the range. McKenzie says that the range is 5. Did McKenzie find the range correctly?

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Solution

To determine if McKenzie found the range of the data set correctly, we need to follow these steps:

1. Break Down the Problem

  • Identify the values in the data set.
  • Calculate the range by finding the difference between the maximum and minimum values.

2. Relevant Concepts

The formula for calculating the range is: Range=Maximum ValueMinimum Value \text{Range} = \text{Maximum Value} - \text{Minimum Value}

3. Analysis and Detail

  • First, we need the actual data set to proceed with the calculation.
  • If we assume a hypothetical data set, for example: {3,8,6,1,7} \{3, 8, 6, 1, 7\}
    • Minimum value = 1
    • Maximum value = 8
  • Now, applying the formula for the range: Range=81=7 \text{Range} = 8 - 1 = 7
  • In this case, the range would be 7, not 5.

4. Verify and Summarize

Without the actual data set, we cannot confirm whether McKenzie’s calculation of the range as 5 is accurate. We can only check against the hypothetical examples.

Final Answer

Without the specific data set, we cannot definitively state whether McKenzie found the range correctly. If you provide the data set, we can check it specifically.

This problem has been solved

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