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Chapter 3: Q. 3.101 (page 122)

Apply Chebyshev's rule with k=5and interpret your answer.

Short Answer

Expert verified

For k=5Chebyshev’s Theorem states that at least 96%of the observations fall inside that range, and no more than 4%fall outside that range.

Step by step solution

01

We have been given

StandardDeviation=k=5

02

Calculations

Maximum proportion of observations that are more than k standard deviations from the mean are given by 1/k2=.04

Minimum proportion of observations that are within k standard deviations of the mean are given by1-1/k2=0.96

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Most popular questions from this chapter

Consider these sample data:x1=12,x2=8,x3=9,x4=17

a) Find n.

b) Compute ∑xi.

c) Determinex-.

The data set has mean 30and standard deviation4 . Approximately what percentage of the observations lie between 22and 38?

For you to practice finding the descriptive measures mentioned in this part, we have provided simple data sets. Each data set separately.

a) Calculate the quartiles

b) calculate the interquartile range

c)recognize the five-number summary

1,2,3,4,5,6,7

The data set has size 80. Approximately how many observations lie within two standard deviations to either side of the mean?

True of False: The mean, median and mode can all be used with quantitative data. Explain your answer.
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