6.4. Applications of Variance and Standard Deviation http://www.ck12.org
6.4 Applications of Variance and Standard De-
viation
Here you’ll learn how to use a Texas Instruments calculator to calculate the variance and standard deviation of a data
set.
This semester you decided to join the school’s bowling league for the first time. Having never bowled previously,
you’re very anxious to find out what your bowling average is for the semester. If your average is comparable to that
of the other students, you’ll be able to join the league again next semester. Your coach has told you that your mean
score is 70. How can you find out how your results compare to those of the other members of the league?
Watch This
First watch this video to learn about applications of variance and standard deviation.
MEDIA
Click image to the left for more content.CK-12 Foundation: Chapter6ApplicationsofVarianceandStandardDeviationA
Then watch this video to see some examples.
MEDIA
Click image to the left for more content.CK-12 Foundation: Chapter6ApplicationsofVarianceandStandardDeviationB
Guidance
Your coach has decided to let you figure this out for yourself. He tells you that the scores were normally distributed
and provides you with a list of the other mean scores. These average scores are in no particular order. In other words,
they are random.
54 88 49 44 96 72 46 58 79
92 44 50 102 80 72 66 64 61
60 56 48 52 54 60 64 72 68
64 60 56 52 55 60 62 64 68
We will discover how your mean bowling score compares to that of the other bowlers in the following example.