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y (Grade Repair) Assignment rch 7 at 11:00 PM 7% apected Value inding the Mean and Median alculate Measure of Dispersion Normal Distribution - Find Z Score Normal Distribution - Empirical Rule Normal Distribution - Find Area Normal Distribution w/ Population Size Calculator Javon Thomas Log Out Question Watch Video Show Examples For the following set of data, find the sample standard deviation, to the nearest thousandth. 70,39,114,39,52,108,101 Copy Values for Calculator Open Statistics Calculator Answer Attempt 1 out of 20 Submit Answer

y (Grade Repair) Assignment\newlinerch 77 at 1111:0000 PM\newline7% 7 \% \newlineapected Value\newlineinding the Mean and Median\newlinealculate Measure of Dispersion\newlineNormal Distribution - Find Z Score\newlineNormal Distribution - Empirical Rule\newlineNormal Distribution - Find Area\newlineNormal Distribution w/ Population Size\newlineCalculator\newlineJavon Thomas\newlineLog Out\newlineQuestion\newlineWatch Video\newlineShow Examples\newlineFor the following set of data, find the sample standard deviation, to the nearest thousandth.\newline70,39,114,39,52,108,101 70,39,114,39,52,108,101 \newlineCopy Values for Calculator\newlineOpen Statistics Calculator\newlineAnswer Attempt 11 out of 2020\newlineSubmit Answer

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Q. y (Grade Repair) Assignment\newlinerch 77 at 1111:0000 PM\newline7% 7 \% \newlineapected Value\newlineinding the Mean and Median\newlinealculate Measure of Dispersion\newlineNormal Distribution - Find Z Score\newlineNormal Distribution - Empirical Rule\newlineNormal Distribution - Find Area\newlineNormal Distribution w/ Population Size\newlineCalculator\newlineJavon Thomas\newlineLog Out\newlineQuestion\newlineWatch Video\newlineShow Examples\newlineFor the following set of data, find the sample standard deviation, to the nearest thousandth.\newline70,39,114,39,52,108,101 70,39,114,39,52,108,101 \newlineCopy Values for Calculator\newlineOpen Statistics Calculator\newlineAnswer Attempt 11 out of 2020\newlineSubmit Answer
  1. List data set: List the given data set.\newlineThe data set provided is: 70,39,114,39,52,108,10170, 39, 114, 39, 52, 108, 101.
  2. Calculate mean: Calculate the mean (average) of the data set.\newlineTo find the mean, sum all the data points and divide by the number of data points.\newlineMean = (70+39+114+39+52+108+101)/7(70 + 39 + 114 + 39 + 52 + 108 + 101) / 7\newlineMean = 523/7523 / 7\newlineMean ≈74.714\approx 74.714
  3. Calculate deviations: Calculate the deviations from the mean for each data point. This involves subtracting the mean from each data point. Deviations: (70−74.714)(70 - 74.714), (39−74.714)(39 - 74.714), (114−74.714)(114 - 74.714), (39−74.714)(39 - 74.714), (52−74.714)(52 - 74.714), (108−74.714)(108 - 74.714), (101−74.714)(101 - 74.714)
  4. Square deviations: Square each deviation to get the squared deviations.\newlineSquared deviations: (70−74.714)2(70 - 74.714)^2, (39−74.714)2(39 - 74.714)^2, (114−74.714)2(114 - 74.714)^2, (39−74.714)2(39 - 74.714)^2, (52−74.714)2(52 - 74.714)^2, (108−74.714)2(108 - 74.714)^2, (101−74.714)2(101 - 74.714)^2
  5. Sum squared deviations: Sum the squared deviations.\newlineSum of squared deviations = (70−74.714)2+(39−74.714)2+(114−74.714)2+(39−74.714)2+(52−74.714)2+(108−74.714)2+(101−74.714)2(70 - 74.714)^2 + (39 - 74.714)^2 + (114 - 74.714)^2 + (39 - 74.714)^2 + (52 - 74.714)^2 + (108 - 74.714)^2 + (101 - 74.714)^2\newlineSum of squared deviations ≈22.449+1277.571+1538.449+1277.571+517.571+1111.449+689.571\approx 22.449 + 1277.571 + 1538.449 + 1277.571 + 517.571 + 1111.449 + 689.571\newlineSum of squared deviations ≈5434.631\approx 5434.631
  6. Calculate variance: Divide the sum of squared deviations by the sample size minus one to get the variance.\newlineSince we have 77 data points, we divide by 66 (n−1n-1).\newlineVariance = 5434.631/65434.631 / 6\newlineVariance ≈905.772\approx 905.772
  7. Find standard deviation: Take the square root of the variance to find the sample standard deviation.\newlineSample standard deviation = 905.772\sqrt{905.772}\newlineSample standard deviation ≈30.096\approx 30.096

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