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Chapter 3: Q 3.65. (page 113)
In Exercises , we have provided simple data sets for you to practice the basics of finding measures of variation . For each data set determine.
a) Range
b) sample standard deviation
.
a)
b)
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In this exercise, you will compare Chebyshev's rule and the empirical rule.
a. Compare the estimates given by the two rules for the percentage of observations that lie within two standard deviations to either side of the mean. Comment on the differences.
b. Compare the estimates given by the two rules for the percentage of observations that lie within three standard deviations to either side of the mean. Comment on the differences.
Consider the data set: .
a) Obtain the mean and median of the data.
b) Replace the in the data set by and again compare the mean and median. Decide which measure of the center works better here and explain your answer.
c) For the data set in part b) the mean is neither central nor typical for the data. The lack of what property of the mean accounts for this result.
A quantitative data set has size has mean and standard deviation . At least how many observations lie betweenand
Name and describe the three most important measures of center.
Consider these sample data:
a) Find role="math" localid="1650821862719"
b) Compute role="math" localid="1650822690845"
c) Determine.
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