210-Class-Handout-Oct-01

49 1 5 2 1 1 midpoint 1 midpoint midpoint mean

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Unformatted text preview: int mean)² 1,024,000,000 144,000,000 64,000,000 784,000,000 2,304,000,000 f(midpointmean)² 1,024,000,000 720,000,000 128,000,000 784,000,000 2,304,000,000 sum $9,999.50 $29,999.50 $49,999.50 $69,999.50 $89,999.50 Midpoint mean -$32,000.00 -$12,000.00 $8,000.00 $28,000.00 $48,000.00 4,960,000,000 s² = 4,960,000,000 / 9 = 551,111,111 (iv) Standard deviation σ (population) or s (sample) = √variance Grouped Data: Ungrouped Data (v) Coefficient of Variation = Standard Deviation Mean Grouped data: 1.6/2.1 = 0.76 Ungrouped data: $23,476/$41,999.5 = 0.56 s = √2.54 = 1.60 children s = √511,111,111 = $23,476 Professor Savage 5 Statistics 210 MEASURES OF SHAPE (i) Skewness Skewness 1∑ For the ungrouped data (mean was 2.1, standard deviation = 1.6): . . . . . . . ∗ . . . 0.30 For the grouped data (mean = $41,999.50, standard deviation = $23,476) 1∑ Skewness Skewness Midpoint 1 92,160,000,000,000 10 1.29 x 1013 (ii) Kurtosis (beyond scope of this class) Kurtosis 1∑ 0.71 . . ....
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This note was uploaded on 01/26/2014 for the course STAT 210 taught by Professor Habermalz during the Fall '11 term at Northwestern.

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