[Math Lair] Mean and Standard Deviation Worksheet

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You may want to read about statistics, measures of central tendency, and measures of spread before doing this worksheet.

  1. Calculate the standard deviation of a population with given size and sum of squared deviations.
    a. 15, 364.15 b. 34, 1040 c. 5, 81.4
    d. 100, 1842.138 e. 18, 24 f. 81, 243
  2. Two dice are rolled fifteen times, and their sums are as follows: 5, 8, 7, 11, 4, 9, 9, 7, 6, 3, 8, 2, 6, 10, 7 Find the mean and standard deviation of this sample.
  3. A committee is assessing the usefulness of two programs to aid in teaching reading to elementary school students. Both programs have been evaluated on usefulness and practicality by a large number of elementary school teachers. The means of the ratings of the two programs are approximately equal. What other statistics might help the committee make their decision? Why?