Ask a New Question
Menu

11.

Find the mean and range.

18 23 10 39 22 17 16 15

1 answer

To find the mean and range of the given set of numbers (18, 23, 10, 39, 22, 17, 16, 15), follow these steps:

Mean:

  1. Sum the numbers: \[ 18 + 23 + 10 + 39 + 22 + 17 + 16 + 15 = 18 + 23 = 41, \quad 41 + 10 = 51, \quad 51 + 39 = 90, \quad 90 + 22 = 112, \quad 112 + 17 = 129, \quad 129 + 16 = 145, \quad 145 + 15 = 160 \] The total sum is 160.

  2. Count the numbers: There are 8 numbers in total.

  3. Calculate the mean: \[ \text{Mean} = \frac{\text{Total Sum}}{\text{Count}} = \frac{160}{8} = 20 \]

Range:

  1. Identify the minimum and maximum values:

    • Minimum: 10
    • Maximum: 39

  2. Calculate the range: \[ \text{Range} = \text{Maximum} - \text{Minimum} = 39 - 10 = 29 \]

Summary:

  • Mean: 20
  • Range: 29