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Calculate the range for the following two sets of data: Set 1: 60, 40, 30, 50, 60, 40, 70. Set 2: 50, 49, 49, 51, 48, 50, 53.

Mathematics

ScanSolve AI Answer

Answer

40\text{40}

5\text{5}

Step-by-step solution

4 steps

To find the range of a data set, subtract the minimum value from the maximum value.

  1. Find the maximum and minimum values for Set 1.

    Set 1: $60, 40, 30, 50, 60, 40, 70$
    Maximum value for Set 1 is 70.
    Minimum value for Set 1 is 30.

  2. Calculate the range for Set 1.

    Range (Set 1)=Maximum−Minimum=70−30=40\text{Range (Set 1)} = \text{Maximum} - \text{Minimum} = 70 - 30 = 40
  3. Find the maximum and minimum values for Set 2.

    Set 2: $50, 49, 49, 51, 48, 50, 53$
    Maximum value for Set 2 is 53.
    Minimum value for Set 2 is 48.

  4. Calculate the range for Set 2.

    Range (Set 2)=Maximum−Minimum=53−48=5\text{Range (Set 2)} = \text{Maximum} - \text{Minimum} = 53 - 48 = 5

    The ranges are:

    • Range for Set 1: 40\boxed{\text{40}}
    • Range for Set 2: 5\boxed{\text{5}}
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