6.4. Applications of Variance and Standard Deviation http://www.ck12.org
b. 9.15
c. 66.96
d. 83.7
- 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 - 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 - 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.
- 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.