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Which of the following data sets has the smallest range?(1 point)

Responses

{37, 19, 40, 54, 75, 68}
left brace 37, 19, 40, 54, 75, 68 right brace

{324, 318, 367, 312, 389, 337}
left brace 324, 318, 367, 312, 389, 337 right brace

{50, 30, 10, 0, 80, 100}
left brace 50, 30, 10, 0, 80, 100 right brace

{148, 145, 117, 148, 199, 172}

1 answer

To find the data set with the smallest range, we need to calculate the range for each data set. The range is defined as the difference between the maximum and minimum values in a data set.

  1. Data set 1: {37, 19, 40, 54, 75, 68}

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

  2. Data set 2: {324, 318, 367, 312, 389, 337}

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

  3. Data set 3: {50, 30, 10, 0, 80, 100}

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

  4. Data set 4: {148, 145, 117, 148, 199, 172}

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

Now we can compare the ranges:

  • Data set 1: 56
  • Data set 2: 77
  • Data set 3: 100
  • Data set 4: 82

The data set with the smallest range is {37, 19, 40, 54, 75, 68} with a range of 56.