Problem Set #2 - 5) a) sample mean= 32, sample variance=...

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1) a) mean: 118.6 b) median: 118 c) mode: 106, 118 d)mean absolute deviation: 10.76 e)sample variance: 201.7263 f) sample standard deviation: 14.20304 0 b.l.t 5 1 5 b.l.t. 10 14 10 b.l.t. 15 9 15 b.l.t. 20 3 20 b.l.t. 25 2 25 b.l.t. 30 0 30 b.l.t. 35 0 35 b.l.t. 40 1 2) a) b) mean from frequency dist. 11.83; mean from raw data 11.87; the two very close c) median from frequency dist. 10.278; median from raw data 10.275; the two are very close d) The distribution is negatively skewed. One thing that indicates this is that the median is less than the mean. e) standard deviation from frequency dist. 6.79; standard deviation from raw data: 6.129; the two are very close 3) a) 3.5% per year b) 7.3% per year c) $5854 billion d) -29.6% per year 4) a) Q1= 43.5, Median= 49, Q3= 56.5 range= 32, interquartile range= 13 b) sample variance= 92.75, sample standard deviation= 9.63 c)coefficient of variation Ponoma= 19.92 coefficient of variation Anaheim= 24.04 Although their mean air quality index readings are almost the same, the readings in Anaheim vary much more.
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Unformatted text preview: 5) a) sample mean= 32, sample variance= 70, sample standard deviation= 8.367 b) The mean would increase by 10 but the sample variance and sample standard deviation would be unchanged. c) The mean and standard deviation would double and the variance would quadruple. d) When every piece of data is changed, the mean is affected by any change but the sample variance and sample standard deviation are only changed by rational changes. This is because they are based on relations between data pieces. 6) a) 50 th percentile= 61.086 b) 25 th percentile= 57.3 c) 90 th percentile= 68.56 7) To compare the two variations for the stock prices, you must use the coefficient of variance Stock A : mean= 11.4 sample standard deviation= 5.77 coefficient of variance= 50.6 Stock B : mean= 142.6 sample standard deviation= 5.594 coefficient of variance= 3.92 Stock A has the most volatile price movements because its coefficient of variance is much greater than stock B’s....
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This note was uploaded on 11/16/2009 for the course ECO 045 taught by Professor Robertj.thornton during the Spring '08 term at Lehigh University .

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Problem Set #2 - 5) a) sample mean= 32, sample variance=...

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