6.3 Standard Deviation of a Data Set http://www.ck12.org Contents
Example B
“The typical measurement is approximately __ minutes played, give or take __ minutes.”
“The typical measurement is approximately64 minutes played, give or take6 minutes.”
Example C
“The typical measurement is approximately __ ounces, give or take __ ounces.”
“The typical measurement is approximately20.0 ounces, give or take0.1 ounces.”
Points to Consider
- Is there a way to determine the actual values for a give or take statement?
- Can a give or take statement go beyond a single give or take?
- Can all the actual values be represented on a bell curve?
Guided Practice
Suppose that the mean number of calories consumed by an adult in a particular country per day is 3,200, with a
standard deviation of 150 calories. Determine each of the following intervals and shade the area under a normal
distribution curve for each interval.
a. The values within 1 standard deviation of the mean
b. The values within 2 standard deviations of the mean
c. The values within 3 standard deviations of the mean
Answer:
a. The values within 1 standard deviation of the mean are from 3, 200 −150 calories to 3, 200 +150 calories, or from
3,050 calories to 3,350 calories.