Find the range and coefficient of range from the following data. 15, 20, 18, 12,20, 28, 25

Mathematics

ScanSolve AI Answer

Answer

16
0.4

Step-by-step solution

3 steps

  1. Identify the maximum and minimum values in the data set.

    The given data set is: 15,20,18,12,20,28,2515, 20, 18, 12, 20, 28, 25.
    Maximum value (LL) = 28
    Minimum value (SS) = 12

  2. Calculate the Range.

    The formula for Range is:

    Range=L−S\text{Range} = L - S

    Substitute the values:

    Range=28−12\text{Range} = 28 - 12 Range=16\text{Range} = 16

  3. Calculate the Coefficient of Range.

    The formula for Coefficient of Range is:

    Coefficient of Range=L−SL+S\text{Coefficient of Range} = \frac{L - S}{L + S}

    Substitute the values:

    Coefficient of Range=28−1228+12\text{Coefficient of Range} = \frac{28 - 12}{28 + 12} Coefficient of Range=1640\text{Coefficient of Range} = \frac{16}{40}

    Simplify the fraction:

    Coefficient of Range=16÷840÷8\text{Coefficient of Range} = \frac{16 \div 8}{40 \div 8} Coefficient of Range=25\text{Coefficient of Range} = \frac{2}{5}

    Convert to a decimal:

    Coefficient of Range=0.4\text{Coefficient of Range} = 0.4

    The range is 16\boxed{16} and the coefficient of range is 0.4\boxed{0.4}.

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