Calculate the variance S²= 32575 − 395²÷5/4

Mathematics

ScanSolve AI Answer

Answer

-92245

Step-by-step solution

6 steps

  1. Identify the formula for variance.

    The formula provided is S2=∑x2−(∑x)2/nn−1S^2 = \frac{\sum x^2 - (\sum x)^2/n}{n-1}. However, the expression given is S2=32575−39525/4S^2 = 32575 - \frac{395^2}{5/4}. This appears to be a direct calculation of a variance value, not the formula itself. Assuming the expression is the one to be calculated:

    S2=32575−39525/4S^2 = 32575 - \frac{395^2}{5/4}

  2. Calculate the square of 395.

    3952=156025395^2 = 156025

  3. Calculate the value of the fraction 54\frac{5}{4}.

    54=1.25\frac{5}{4} = 1.25

  4. Divide the result from Step 2 by the result from Step 3.

    1560251.25=124820\frac{156025}{1.25} = 124820

  5. Subtract the result from Step 4 from 32575.

    S2=32575−124820S^2 = 32575 - 124820

  6. Perform the subtraction.

    S2=−92245S^2 = -92245

    The variance is -92245.

    −92245-92245
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