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Descriptive measures that indicate where the center or most typical value of a data set lies |
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Is the sum of the observations divided by the number of observations |
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arrange numbers in increasing order, it is the one in the middle or the average of the two in the middle |
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the number that occurs the most often |
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Not sensitive to the influence of a few extreme observations |
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when the smallest and the largest observations are removed before computing the mean |
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Population mean or mean of the variable |
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the mean of the population data |
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The mean of the sample data |
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the number of observations |
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For a variable x, the mean of the observations for a sample is called a sample mean and looks like what? |
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Measures variation by indicating how far, on average, the observations are from the mean |
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How far each observation is from the mean |
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Sum of Squared Deviations |
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Sample Standard Deviation |
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Variation and the Standard Deviation |
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The more variation there is in a data set, the larger is its standard deviation |
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Computing Formula for a Sample Standard Deviation |
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Atleast 89% of the observations lie within three standard deviations to either side of the mean |
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roughly 99.7% of the observations lie within three standard deviations to either side of the mean |
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data set divided into hundreths or a 100 equal parts |
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Divide a data set into tenths |
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divide a data set into fifths |
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Divide a data set into quaters |
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bottom 25% of data from the top 75% of Q2 |
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the median of the portion of the entire data set that lies at or above the median of the entire data set |
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IQR is the difference between the first and third quartiles IQR=Q3 - Q1 |
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1) Determine the 5-number summary 2) Draw a horizontal axis on which the numbers obtained in step 1 can be located. Above this axis, mark the quartiles and the min and max with vertical lines 3) Connect the quartiles to make a box and then connect the box to the min and max with lines |
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To construct a modified boxplot |
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