Descriptive Statistics Measures

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Questions and Answers

What is the purpose of squaring the deviations in calculating the sum of squares?

  • To eliminate positive signs
  • To find the mean
  • To make the calculations simpler
  • To eliminate negative signs (correct)

What is the deviation of 102 from the mean of 110.54?

  • 4.46
  • 8.54
  • -8.54 (correct)
  • 0.00

What is the sum of the deviations from the mean in a dataset?

  • The sum of the values
  • The median of the values
  • The mean of the values
  • Zero (correct)

What is the formula for calculating the deviation of a value from the mean?

<p>X - X-bar (C)</p> Signup and view all the answers

What is the purpose of calculating the sum of squares?

<p>To find the average spread of the dataset (A)</p> Signup and view all the answers

Why is it necessary to square the deviations when calculating the sum of squares?

<p>Because the deviations cancel each other out (D)</p> Signup and view all the answers

What is the deviation of 115 from the mean of 110.54?

<p>4.46 (A)</p> Signup and view all the answers

What is the result of adding all the deviations from the mean together?

<p>Zero (D)</p> Signup and view all the answers

What is the formula for calculating the sum of squares?

<p>Σ(Xi - X-bar)2 (D)</p> Signup and view all the answers

What is the purpose of finding the deviation of a value from the mean?

<p>To measure the variability of the dataset (B)</p> Signup and view all the answers

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