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Measures of Position and Box-and-Whisker Plots

Measures of Position and Box-and-Whisker Plots. Sections 3.5 – 3.6. Measure of Position. The position of a single value in relation to other values in a data set. Quartiles – Divide ranked data into four equal parts. First Quartile, Q1. Second Quartile, Q2 (Median). Third Quartile, Q3

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Measures of Position and Box-and-Whisker Plots

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  1. Measures of Position and Box-and-Whisker Plots Sections 3.5 – 3.6

  2. Measure of Position • The position of a single value in relation to other values in a data set. • Quartiles – Divide ranked data into four equal parts. • First Quartile, Q1. • Second Quartile, Q2 (Median). • Third Quartile, Q3 • Interquartile Range – Difference between Q3 and Q1.

  3. Figure 3.11 (p. 106)Quartiles.

  4. Ex: Find the Quartiles and Interquartile Range of the data.

  5. Percentiles • Percentiles divide ranked data into 100 equal parts. • Percentile is the percent of values below a given value. • To find the kth percentile: kn/100, tells which data value is at that percentile.

  6. Percentile Rank • Percentile Rank for a given value is the percentage of data values less than it. • To find Percentile Rank of a value: Percentile rank of xi = # of values less than xi # of values in data set • Ex: Find the percentile rank of 29,920 car thefts.

  7. Box-and-Whisker Plot • Shows center spread and skewness of a data set. • Use 5 number summary: • Minimum • Q1 • Median • Q3 • Maximum

  8. Figure 3.13 (p. 112)

  9. Figure 3.14 (p. 112)

  10. Make a Box Plot of Car Thefts

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