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Chapter 3: Q. 3.104 (page 122)

What condition on a data set is required to apply the Empirical rule?

Short Answer

Expert verified

The condition which is required to apply Empirical rule is that data set should be with symmetric distribution.

Step by step solution

01

Given information

We need to find the condition required for empirical rule.

02

Explanation

The condition which is required to apply empirical rule is that data set should be with symmetric distributions because the Empirical Rule does not apply to data sets with severely asymmetric distributions.

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Most popular questions from this chapter

Simple data sets have been given for you to try locating the descriptive metrics mentioned in this section. For each data set separately.

(a) Calculate the quartiles,

(b) calculate the interquartile range

(c)compile a five-number summary.

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

Simple data sets have been given for you to try locating the descriptive metrics mentioned in this section. For each data set separately.

(a) Calculate the quartiles,

(b) calculate the interquartile range

(c)compile a five-number summary.

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

High School Completion. As reported by the US Census Bureau in Educational Attainment in the United States, the percentage of adults in each state and the District of Columbia who have completed high school is provided on the Weiss Stats site.

Magazine Ads. Advertising researchers F. Shuptrine and D. McVicker wanted to determine whether there were significant differences in the readability of magazine advertisements. Thirty magazines were classified based on their educational level-high, mid, or low-and then three magazines were randomly selected from each level. From each magazine, six advertisements were randomly chosen and examined for readability. In this particular case, readability was characterized by the numbers of words, sentences, and words of three syllables or more in each ad. The researchers published their findings in the article "Readability Levels of Magazine Ads" (Journal of Adrertiving Reseanch, Vol. 21,No.5,pp.45-51). The number of words of three syllables or more in each ad are provided on the Weissstats site.

A quantitative data set has size 40. At least how many observations lie within two standard deviation to either side of the mean?
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