1.4 - Measures of Variability (Solutions)

# 1.4 - Measures of Variability (Solutions) - 1.3 Measures of...

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1.3 Measures of Variability (Solutions) 1 Section 1.3 Measures of Variability DATA SET #2 1 2 3 4 5 6 6 7 8 9 10 11 4 5 5 5 6 6 6 6 7 7 7 8 Mean: 6 Median: 6 Mode: 6 Mean: 6 Median: 6 Mode: 6 1 2 3 4 5 6 7 8 9 10 11 1 2 3 4 5 6 7 8 9 10 11 DATA SET #1

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1.3 Measures of Variability (Solutions) 2 MEASURES OF VARIABILITY Show how variable (scattered) the data are Range Standard Deviation Interquartile Range RANGE The difference between the maximum and minimum values in the data set RANGE = 350 - 250 = 100 Data Set A Data Set B RANGE = 350 - 250 = 100 The RANGE is not helpful to distinguish between two data values
1.3 Measures of Variability (Solutions) 3 POPULATION sample STANDARD DEVIATION measure of variability that is based on deviations from the mean   1 - n x - x s 2   N μ - X σ 2 σ = Population Standard Deviation s = sample standard deviation μ = Population Mean x = sample mean X, x = Individual Observation N, n =Total Number of Observations 5 8 4 3 10 -1 2 -2 -3 4 1

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1.4 - Measures of Variability (Solutions) - 1.3 Measures of...

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