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# Chapter 5 - Chapter 5 Describing Distribution Numerically...

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Chapter 5 – Describing Distribution Numerically ActivStats: 5-1 to 5-4 Read: Chapter 5 Measures of the center: midrange median mean Measures of the spread: range interquartile range (IQR) variance standard deviation

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Data: 45 46 49 35 76 80 89 94 37 61 62 64 68 56 57 57 59 71 72 Sorted Data : 35 37 45 46 49 56 57 57 59 61 62 64 68 71 72 76 80 89 94 Max = 94, Min = 35, n=19 midrange = average of Max and Min Midrange = (35+94)/2 = 64.5 median = the middle value (or the average of two middle values) Median = 61 mean = the average value = sum/n n x x Mean = = Mean = (35+37+. ..+94)/19 =1178/19 = 62 Note: For skewed distributions the median is a better measure of the center than the mean.
Data (sorted !): 35 37 45 46 49 56 57 57 59 61 62 64 68 71 72 76 80 89 94 Max = 94, Min = 35, n=19, Mean = 62, Median = 61 Range = Max - Min Range = 94 - 35 = 59 Interquartile range (IQR) = Q3 - Q1 Q3 = Upper quartile = middle of upper half (include median if

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Chapter 5 - Chapter 5 Describing Distribution Numerically...

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