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The director of a local Parks and Recreation department is interested in the number of hours kids spend outside each week. She surveys a group of 19 kids in her town and asks them how many hours they spent outside last week. Her results follow. {0,10,15,4,70,15,18,20,6,8,10,12,15,18,20,2,35,40,10} The director decides to remove the data value “70” since it is a lot larger than the rest of the data values. Calculate the range of the original dataset and the range of the new dataset after “70” is removed. Round your answers to one decimal place.

1 answer

To calculate the range of a dataset, you can use the formula:

\[ \text{Range} = \text{Maximum Value} - \text{Minimum Value} \]

Original Dataset

The original dataset is:

\[ {0, 10, 15, 4, 70, 15, 18, 20, 6, 8, 10, 12, 15, 18, 20, 2, 35, 40, 10} \]

  1. Find the Maximum Value:

    • The maximum value is 70.

  2. Find the Minimum Value:

    • The minimum value is 0.

  3. Calculate the Range: \[ \text{Range} = 70 - 0 = 70 \]

New Dataset (After removing "70")

The new dataset is:

\[ {0, 10, 15, 4, 15, 18, 20, 6, 8, 10, 12, 15, 18, 20, 2, 35, 40, 10} \]

  1. Find the Maximum Value:

    • The maximum value in the new dataset is 40.

  2. Find the Minimum Value:

    • The minimum value is still 0.

  3. Calculate the Range: \[ \text{Range} = 40 - 0 = 40 \]

Final Results

  • The range of the original dataset is 70.0.
  • The range of the new dataset after removing "70" is 40.0.