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Computing the mean and variance for the given data.

RANDOM NUMBERS

6.648148226

9.590568223

13.08821654

11.56960596

9.117794687

11.03829962

12.48332071

12.65101335

9.490335085

9.977890184

12.27038527

7.775071279

6.877049853

8.513567334

10.10921667

11.96416295

10.98025794

9.593537723

8.933938059

11.87065325

9.374681465

12.71689714

9.612418833

8.070970832

9.519834546

8.757884896

12.80700988

6.994774847

10.50255494

11.58505827

7.55297722

8.958021479

13.29525392

12.23347342

5.135949575

9.501073944

7.547147359

6.148562786

11.6179456

10.36562369

9.91927325

12.03066975

10.52738642

7.063923729

11.18436674

10.6041455

10.46773494

13.95950337

12.31614649

10.66658231

11.87563273

10.94589723

9.881588337

10.73343926

10.73180445

10.49624305

9.237516022

12.07000085

12.90277967

9.831734385

12.7678152

8.520816007

9.673823368

9.64588369

11.17871878

7.511049514

9.127060164

7.181475919

6.706528691

9.231590664

9.70479621

7.689228621

12.48596734

11.2186365

6.758824636

8.277762643

6.398200892

12.22948074

11.62879132

9.319491053

11.36511062

8.21050551

8.564708221

10.74720447

 

12.13784915

9.035926521

7.81050974

9.589942945

 

5.405596565

14.67043719

8.719436007

8.363523446

 

8.547832547

12.33389073

9.344242951

11.05285835

 

11.36588369

10.80643531

8.424559635

10.54896191

 

100 draws of a normal distribution with mean 10 and variance 4. (a) What are the mean and variance of theses draws? Comment; (c) Construct histograms of the data with the following bins- (i) start with and go to 8 increments of 1; (ii) start with 8 and go to 12 in increments of 0.2; (iii) start with 5 and go to 15 in crements of 0.75. Comment on these results. 

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