Exam 3: Describing Data: Numerical Measures

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The arithmetic mean is the sum of the quantitative observations divided by the total number of observations.

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For a data set with an odd number of observations that have been sorted or arrayed from smallest to largest values,where is the median located?

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The sum of the deviations of each data value from this measure of central location will always be zero.

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The weights (in kilograms)of a group of crates being shipped to Panama are 95,103,110,104,105,112 and 92.What is the mean deviation?

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The U.S.Department of Education reported that for the past seven years 4,033,5,652,6,407,7,201,8,719,11,154,and 15,121 people received bachelor's degrees in computer and information sciences.What is the annual arithmetic mean number of degrees awarded?

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When is the only time the variance equals the standard deviation? ________________

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For any data set,which measures of central location have only one value?

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Extremely high or low scores affect the value of the median.

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What is the difference between the largest and the smallest values in a set of data? __________.

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Sometimes,data has two values that have the highest and equal frequencies.In this case,the distribution of the data can best be summarized as

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For a symmetrical distribution,the variance is equal to the standard deviation.

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If a set of observations contains an extreme value and none of the observations repeat themselves,what is the most representative measure of central location? _____________

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What is the positive square root of the variation? _________.

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The net incomes (in $ millions)of a sample of steel fabricators are: $86,$67,$86 and $85.What is the modal net income?

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The median can be determined for any set of interval-level data.

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A sample of five full service gasoline stations,each carrying three grades of gasoline,was taken and the price per liter (to the nearest cent)was recorded for each grade of gasoline,as shown in the table below. A sample of five full service gasoline stations,each carrying three grades of gasoline,was taken and the price per liter (to the nearest cent)was recorded for each grade of gasoline,as shown in the table below.   For Super Unleaded gas,which measure of central location would be the highest? _____________. For Super Unleaded gas,which measure of central location would be the highest? _____________.

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The weights (in grams)of the contents of several small bottles are 4,2,5,4,5,2 and 6.What is the sample variance?

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A value that is typical or representative of the data is referred to as a measure of central location.

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A statistic is a measurable characteristic of the population.

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Which measure of central location requires that the data be ranked before it is possible to determine it? _____________.

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