STATS FINAL

7 September 2022
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True.
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The mean is the measure of central tendency most likely to be affected by an extreme value​ (outlier).
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The statement is false. All quantitative data set have medians.
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Some quantitative data sets do not have medians.
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The statement is true.
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A data set can have the same​ mean, median, and mode.
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The value that lies in the middle of the data when the data set is ordered.
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What is the definition of​ median?
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The data entry that occurs with the greatest frequency.
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What is the definition of​ mode?
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The sum of the data entries divided by the number of entries.
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What is the definition of​ mean?
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The mode is the data entry that has the highest frequency.
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In this​ distribution, how is the mode​ determined?
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nominal
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If the data set isn't skewed what it is?
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Median
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When the data set is​ skewed, the _______is the preferred measure of central tendency.
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Mode
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The _____ best describes a nominal data set.
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The range is found by subtracting the minimum data entry from the maximum data entry.
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Explain how to find the range of a data set.
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It is easy to compute.
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What is an advantage of using the range as a measure of​ variation?
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It uses only two entries from the data set.
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What is a disadvantage of using the range as a measure of​ variation?
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The units of variance are squared. Its units are meaningless.
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Why is the standard deviation used more frequently than the​ variance?
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The standard deviation is the positive square root of the variance. The standard deviation and variance can never be negative. Squared deviations can never be negative.
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Explain the relationship between variance and standard deviation. Can either of these measures be​ negative? Explain.
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When calculating the population standard​ deviation, the sum of the squared deviation is divided by​ N, then the square root of the result is taken. When calculating the sample standard​ deviation, the sum of the squared deviations is divided by -​1, then the square root of the result is taken.
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Let N be the number of data entries in a population and n be the number of data entries in a sample data set. Choose the correct answer below.
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When given a data​ set, one would have to determine if it represented the population or if it was a sample taken from the population. If the data are a​ population, then sigma is calculated. If the data are a​ sample, then s is calculated.
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Given a data​ set, how do you know whether to calculate stand deviation or​ s?
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Both estimate proportions of the data contained within k standard deviations of the mean.
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What is a similarity between the Empirical Rule and​ Chebychev's Theorem?
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The Empirical Rule assumes the distribution is aproximately symmetric and​ bell-shaped and​ Chebychev's Theorem makes no assumptions.
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What is a difference between the Empirical Rule and​ Chebychev's Theorem?
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The sum of the data entries divided by the number of entries.
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How do you find the population mean?