Calculating Mean, Standard Deviation and Control Limit-Statistics Solution Sample

QUESTION

 

 

 

ANSWER

 

Data Set

1

2

3

4

 

5.8

6.2

6.1

6

5.9

6

5.9

5.9

6

5.9

6

5.9

6.1

5.9

5.8

6.1

 

Mean = (x1+x2+x3+x4)/4

Ans:

Mean

5.95

6

5.95

5.975

 

Standard Deviation =

Ans:

 

Std Dv

0.129

0.141

0.129

0.096

 

Control Limit

Upper limit = Mean + 3*sd

Lower Limit = Mean – 3*sd

Ans:

Control Limits

Upper

6.337

6.424

6.337

6.262

Lower

5.563

5.576

5.563

5.688

 

 

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