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

Responses

{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

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

{324, 318, 367, 312, 389, 337}

:)

1 answer

To find the range of each data set, we use the formula:

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

Let's calculate the range for each set:

  1. Data Set 1: {148, 145, 117, 148, 199, 172}

    • Maximum: 199
    • Minimum: 117
    • Range: \( 199 - 117 = 82 \)

  2. Data Set 2: {50, 30, 10, 0, 80, 100}

    • Maximum: 100
    • Minimum: 0
    • Range: \( 100 - 0 = 100 \)

  3. Data Set 3: {37, 19, 40, 54, 75, 68}

    • Maximum: 75
    • Minimum: 19
    • Range: \( 75 - 19 = 56 \)

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

    • Maximum: 389
    • Minimum: 312
    • Range: \( 389 - 312 = 77 \)

Now, let's summarize the ranges:

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

The data set with the smallest range is Data Set 3: {37, 19, 40, 54, 75, 68} with a range of 56.