Data Analytics (Digital) for Decision Making PDF

Summary

This document covers data analytics, focusing on numerical measures like mean, median, mode, range, variance, and standard deviation. It includes examples and calculations for both population and sample data.

Full Transcript

Dr. Ahmed Bakri, Dr. Krisztina Soreg & Mr. Antonio Moya o o o o Median = ? 75 + 76 𝑀𝑒𝑑𝑖𝑎𝑛 = = 𝟕𝟓. 𝟓 2 a. Range: b. Variance: c. Standard Deviation: SAMPLE STANDARD DEVIATION ∑(𝒙−ഥ 𝒙) 𝟐 𝑵−𝟏 𝒔 =√ Range = Largest – Smallest value = 80 – 20 = 60 X 𝑿−𝝁 (𝑿 − 𝝁)𝟐 38 38-28 = 10 102 = 100 26 26-28 = -2 −22 =...

Dr. Ahmed Bakri, Dr. Krisztina Soreg & Mr. Antonio Moya o o o o Median = ? 75 + 76 𝑀𝑒𝑑𝑖𝑎𝑛 = = 𝟕𝟓. 𝟓 2 a. Range: b. Variance: c. Standard Deviation: SAMPLE STANDARD DEVIATION ∑(𝒙−ഥ 𝒙) 𝟐 𝑵−𝟏 𝒔 =√ Range = Largest – Smallest value = 80 – 20 = 60 X 𝑿−𝝁 (𝑿 − 𝝁)𝟐 38 38-28 = 10 102 = 100 26 26-28 = -2 −22 = 4 13 13-28 = -15 −152 = 225 41 41-28 = 13 132 = 169 22 22-28 = -6 Total: 140 0 −62 = 36 534 S𝑡𝑎𝑛𝑑𝑎𝑟𝑑 𝑑𝑒𝑣𝑖𝑎𝑡𝑖𝑜𝑛 = 106.8 = 𝟏𝟎. 𝟑𝟑 𝑋ത = ∑𝑋 85 = = 17 𝑛 5 ത (𝑋=mean ; s=standard-deviation ; 3=constant) Step 1 : Compute the sample mean X  X= n = (Hint: You can find the mean using the calculator) $74.26 = $4.95 15 Step 2 : Compute the sample standard deviation (  X −X s= n −1 ) 2 (Hint: You can find the standarddeviation using the calculator) ($0.09 − $4.95) 2 +... + ($16.40 − $4.95) 2 ) = = $5.22 15 − 1 Step 3 : Determine the median - the middle value in a set of data, arranged from smallest to largest. In this case the middle value is $3.18, so the median earnings per share is $3.18. Step 4 : Compute the Skewness sk = 3( X − Median) 3($4.95 − $3.18) = = 1.017 => Moderate positive skewness. s $5.22

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