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Please show all your work, write equations clearly, plug in values properly, and comment on all steps.

The following table gives the frequency distribution of the number of hours spent per week on activities that involve sports and/or exercise by a sample of 400A The numbers are consistent with the summary results from the Bureau of Labor Statistics American Time Use Survey (www.bls.gov). mericans. Hours per Week Number of People 0 to less than 3.5 36 3.5 to less than 7.0 7.0 to less than 10.5 10.5 to less than 14.0 14.0 to less than 28.0 28.0 to less than 56.0 90 54 84 119 17 Find the mean, variance, and standard deviation. out all calculations exactly, round to 2 decimal places the final answers where it is necessary Mean - hours Variance hours2 Standard deviation hours

math   Statistics-And-Probability   
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Thu data set s (x) Hours per Week 0-3.5 Numbe of People ( freguency) 3 6 g o 5 3.5 7-10. 5 l0,514 14-28 23 -56 84 l19 Since the class widt different fo the interwals 14-2 and 2-56, we adjut their fregveney as follouos Adjosted Frequen Unufortm Class cy ftj。14-291, 113 Widh 4 Unijoum CRass Width is te closu wdt that wx ausume quin 1 t 36-28 Simula Adjus ted Fe 3-5 IT 2.125 28 gThe X (No. ot hous) eny table is obtauned as 0-3 5 3.5-구 36 go 1 75 0 g. 75 12.25 29.75 29.75 29.75 29-75 2 125 2.125 2 125 2g-56< 38-5-42 | 2-125 ap 142-45. 5 | 2.125 14 -17.5 7%) 175-21 21 245 24.5 29 28 31.5 5.75 9.25 22 75 26.25 29 75 33.25 36. 75 8 40.25 353g.5 28-56 / 35-35 23 75 44-25 47-75 51 25 45-5 4g 2 9-52-5 2125 52-5 -562.125 Now, Mean can be calculated as Mean Vauancecan be calcu lated as Vawance and Standard Deutatom = j Vanta nel

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