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Which of the following data sets has the smallest range?(1 point) Responses {50, 30, 10, 0, 80, 100} left brace 50, 30, 10, 0, 80, 100 right brace {37, 19, 40, 54, 75, 68} left brace 37, 19, 40, 54, 75, 68 right brace {148, 145, 117, 148, 199, 172} left brace 148, 145, 117, 148, 199, 172 right brace {324, 318, 367, 312, 389, 337}

1 answer

To determine which of the given data sets has the smallest range, we first need to calculate the range of each data set. The range is found by subtracting the minimum value from the maximum value in the set.

  1. Data Set 1: {50, 30, 10, 0, 80, 100}

    • Minimum: 0
    • Maximum: 100
    • Range: 100 - 0 = 100

  2. Data Set 2: {37, 19, 40, 54, 75, 68}

    • Minimum: 19
    • Maximum: 75
    • Range: 75 - 19 = 56

  3. Data Set 3: {148, 145, 117, 148, 199, 172}

    • Minimum: 117
    • Maximum: 199
    • Range: 199 - 117 = 82

  4. Data Set 4: {324, 318, 367, 312, 389, 337}

    • Minimum: 312
    • Maximum: 389
    • Range: 389 - 312 = 77

Now, comparing the ranges:

  • Data Set 1: Range = 100
  • Data Set 2: Range = 56
  • Data Set 3: Range = 82
  • Data Set 4: Range = 77

The smallest range is in Data Set 2, which has a range of 56.