Box and Whisker Plot Review A Five Number Summary. October 16, Box and Whisker Lesson.notebook. Oct 14 5:21 PM. Oct 14 5:21 PM.

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1 Oct 14 5:21 PM Oct 14 5:21 PM Box and Whisker Plot Review A Five Number Summary Activities Practice Labeling Title Page 1

2 Click on each word to view its definition. Outlier Median Lower Extreme Upper Extreme Inner Quartile Range Outlier: A data element that lies outside the normal distribution of the data. (IQR - Interquartile Range) There are two types of outliers: 1. Mild Outlier > 1.5*IQR 2. Extreme Outlier > 3*IQR Outlier Lower Extreme (minimum): The lowest value, not counting outliers, in a set of data; part of the five number summary. Lower Extreme Lower Extreme 2

3 (Q 1) = the value of the median of the lower 50% of the data, where 25% of the values are smaller than the lower quartile and 75% are greater than. In other words the lower quartile is the median of the lower 50% of the data. Q 1 = lower quartile = cuts off lowest 25% of data = 25th percentile Median (Q 2 ): the middle value when a set of values are placed in numerical order. If there is an even number of values then the median is the mean of the middle two values (add the two middle terms and divide by two). Med = Q 2 = median = cuts data set in half = 50th percentile Median Median Interquartile Range (IQR): the value of the IQR is the difference of the 3rd and 1st quartile. The IQR contains approximately the middle 50% of the data points. IQR = Q 3 - Q 1 Inner Quartile Range Interquartile Range 3

4 (Q 3 ): the value of the median of the upper 50% of the data, where 25% of the values are greater than the upper quartile and 75% are less than. In other words the upper quartile is the median of the upper 50% of the data. Q 3 = upper quartile = cuts off highest 25% of data, or lowest 75% = 75th percentile Upper Extreme (maximum): The highest value, not counting outliers, in a set of data. Upper Extreme Upper Extreme Collect the Data. Arrange in numerical order. Determine a scale sample P1 4

5 Find the Min, Q 1, Median (Q 2), Q 3 and Max. Identify the Five Number Summary P2 Above the number line, place dots to identify the Five Number Summary. Draw a Rectangle around the IQR, from Q 1 to Q 3. P3 Above the number line, place dots to identify the Five Number Summary. Draw a Rectangle around the IQR, from Q 1 to Q 3. P4 5

6 Draw a vertical line through the Median P5 Draw a vertical line through the Median P6 Steps Use the data below to construct a Box & Whisker Plot Label the Five Number Summary and IQR Pull 98 When completed pull tab to check P7 6

7 Label the Box and Whisker Plot UQ LQ LE IQR Lower Extreme Upper Extreme UE Inner Quartile Range Median Med Practice Labeling Label the Box and Whisker Plot UQ LQ Min IQR Minimum Maximum Max Inner Quartile Range Median M Practice Labeling 1 Assessment Use the data below to construct a Box & Whisker Plot Label the Five Number Summary and IQR Acquired lesson from Modified by R. Acosta on 8/2/2011 to use as review for AMDM/AQR. Printout 7

8 Homework: p. 52 (1 10) Sep 9 9:14 AM Homework: Page 52 Oct 14 5:25 PM Oct 14 5:26 PM 8