The following are closing prices of Google stock for a sample of trading days. Use the...

The following are closing prices of Google stock for a sample of trading days. Use the 1-Var Stats command in the TI-84 PLUS calculator to compute the sample standard deviation. 455.21 , 482.37, 483.19, 459.63, 497.99, 475.10, 472.08, 444.95, 489.22 Write only a number as your answer. Round to two decimal places (for example 8.32). Your Answer:

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Expert Solution

For the given sample data set 455.21 , 482.37, 483.19, 459.63, 497.99,:

475.10, 472.08, 444.95, 489.22 to find the Sample standard deviation we need to find the mean first which is calculated as:

Mean = (455.21 + 482.37 + 483.19 + 459.63 + 497.99 + 475.10 + 472.08 + 444.95 + 489.22)/9
= 4259.74/9
, Mean = 473.3044

and the sample standard deviation is calculated as:

Standard Deviation σ = √(1/9 - 1) x ((455.21 - 473.3044)² + ( 482.37 - 473.3044)² + ( 483.19 - 473.3044)² + ( 459.63 - 473.3044)² + ( 497.99 - 473.3044)² + ( 475.10 - 473.3044)² + ( 472.08 - 473.3044)² + ( 444.95 - 473.3044)² + ( 489.22 - 473.3044)²)
= √(1/8) x ((-18.0944)² + (9.0656)² + (9.8856)² + (-13.6744)² + (24.6856)² + (1.7956)² + (-1.2244)² + (-28.3544)² + (15.9156)²)
= √(0.125) x ((327.40731136) + (82.18510336) + (97.72508736) + (186.98921536) + (609.37884736) + (3.2241793600001) + (1.49915536) + (803.97199936) + (253.30632336))
= √(0.125) x (2365.68722224)
= √(295.71090278)
= 17.20

orchestra answered 1 year ago

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