week5_lect_A_posted - WEEK 5 MONDAY SAMPLE STATISTICS 1...

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1 WEEK 5 MONDAY SAMPLE STATISTICS
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2 PERCENTILES Division of ordered data into: halves: median quarters: quartiles 100ths : percentiles Quartiles – middle observation above the median and below the median Q1 = 25 th percentile Q2 = 50 th percentile = median Q3 = 75 th percentile
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3 Ex. 1 - Quartiles 1. Data: 7, 23, 75, 82, 34, 91, 10 2. Put it in order: 7, 10, 23, 34, 75, 82, 91 1. Find the median: 34 2. Below the median: 7, 10, 23 Lower Quartile Q1 = 10 3. Above the median: 75, 82, 91 Upper Quartile Q3 = 82
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4 7, 8, 22, 38, 48, 62 Median = (22+38)/2 = 30 7, 8, 22, 38, 48, 62 Q1 =8 Q3 = 48 7, 8, 22, 38, 48, 62 Ex. 2 - Quartiles
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5 125, 126, 127, 129, 133, 136, 136, 140, 141, 143, 143, 147, 152 125, 126, 127, 129, 133, 136, 136 , 140, 141, 143, 143, 147, 152 Q1 = (127+129)/2 = 128 Q3 = (143 + 143)/2 = 143 Ex. 3 - Quartiles
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6 5 Number Summary (minimum, Q1, median, Q3, maximum) = (125, 128, 136, 143, 152)
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7 1) Range = Max – Min - easy to compute but only uses two data values Measures of Spread 2) Interquartile Range = Q3 - Q1 ( IQR ) 3) Standard Deviation
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8 Box Plot Visual display of 5 number summary: ( MINIMUM, Q1, Q2, Q3, MAXIMUM ) Q 1 Q 2 = median Q 3 Min Max 30 42 45 17 55 42 45 30 17 55 Range = Max – Min = 55 – 17 = 38 IQR = Q3 – Q1 = 45 – 30 = 15
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9 MEASURES OF SPREAD (continued) (3) Standard Deviation
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