![]() ![]() Step 14: Mark the locations of the following five values with vertical line segments all having the same length: the minimum, the first quartile, the median, the Minimum to the original maximum, but not much farther. Number line with a uniform scale that extends at least from the original The remaining data, 83, as the new maximum. Upper fence for reasonable data is Q 3 + MWL = 79 + 48 = 127.ġ0: Nothing is below the lower fence, but 145 is above the upperġ1: Since there are no data values below the lower bound, we leave theġ2: The original maximum was a possible outlier, so we use the maximum of Lower fence for reasonable data is Q 1 - MWL = 47 - 48 = 1. We find the maximum whisker length: MWL = IQR x 1.5 = 32 x 1.5 Their median is at the middle: Q 3 =įind the interquartile range: IQR = Q 3 - Q 1 = 79 - 47 = 32. Their median is at the middle: Q 1Ĥ: Data values above 61.5 are: 62, 78, 79, 83, 145. Is put in order from smallest to largest. Will use the following data representing tornadoes per year inĢ004 (Sullivan, 2nd edition, p. Mark the location of all your possible outliers Otherwise to the segment for the maximum.ġ8. Draw a line from the middle of the segmentįor Q3 to the middle of the segment for the new maximum (if you have one) or Minimum (if you have one) or otherwise to the segment for the minimum.ġ7. With horizontal lines through their top points and their bottom points.įrom the middle of the segment for Q1 to the middle of the segment for the new Connect the segments for Q1, the median, and Q3 Use the maximum if there is no new maximum.ġ5. Use the minimum if there is no new minimum. Their corresponding position on the number line. Minimum, Q1, the median, Q3, and the new maximum as short vertical lines above Number line that extends from the original minimum data value to the original It by the largest data value that is not a possible outlier. If the maximum is a possible outlier, replace It by the smallest data value that is not a possible outlier. If the minimum is a possible outlier, replace Reasonable data values should be at or below the Upper Fence.ĭata values below the Lower Fence or above the Upper Fence as possibleġ1. Reasonable data values should be at or above the Lower Fence.ĩ. ![]() This is the maximum whisker length, denotedĨ. This is the interquartile range, denoted IQR.ħ. Minimum, or smallest, data value, and the maximum, or largest, data value.Ħ. ![]() the middle data value when the scores are put in order. Good Modified Boxplots, Bad Modified Boxplots and Unmodified Boxplots ![]() Using TI 83/84 Calculator as Aid in Modified Boxplot ConstructionĬ. ![]()
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