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Question

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

{148, 145, 117, 148, 199, 172}
left brace 148, 145, 117, 148, 199, 172 right brace

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

{324, 318, 367, 312, 389, 337}

1 answer

To find the smallest range among the given data sets, we need to calculate the range for each set. The range is calculated as the difference between the maximum and minimum values in each data set.

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

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

  2. Set 2: {148, 145, 117, 148, 199, 172}

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

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

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

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

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

Now we can summarize the ranges:

  • Set 1: 56
  • Set 2: 82
  • Set 3: 100
  • Set 4: 77

The set with the smallest range is Set 1: {37, 19, 40, 54, 75, 68} with a range of 56.