Data Analytics (Digital) for Decision Making PDF

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