CK-12-Basic Probability and Statistics Concepts - A Full Course

(Marvins-Underground-K-12) #1

6.4. Applications of Variance and Standard Deviation http://www.ck12.org


b. 9.15
c. 66.96
d. 83.7


  1. What is the population standard deviation of the following data values? 3. 3 2. 9 8. 5 11. 5
    a. 3.61
    b. 4.17
    c. 6.55
    d. 13.52

  2. What is the sample standard deviation of the following data values? 34. 2 40. 1 31. 9 44. 8
    a. 5.05
    b. 5.83
    c. 25.51
    d. 34.02

  3. Mrs. Meery has recorded her exam results for the current mathematics exam. The results are shown below:


64 98 78 76 56 48 89 78 69 90 89


97 67 58 59 50 78 89 68 83 72 91


(a) Determine the mean for this data with technology. (b) Determine the standard deviation for this data with
technology. (c) Determine the variance for this data with technology. (d) Draw a normal distribution curve to
represent the data Mrs. Meery found in her class.


  1. Mrs. Landry decided to do the same analysis as Mrs. Meery for her math class. She has recorded her exam
    results for the current mathematics exam. The results are shown below:


89 87 81 84 76 72 67 49 55 38 67 90 59
87 89 69 92 90 79 84 69 93 85 70 87 80

(a) Determine the mean for this data with technology. (b) Determine the standard deviation for this data with
technology. (c) Determine the variance for this data with technology. (d) Draw a normal distribution curve to
represent the data Mrs. Landry found in her class.
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