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Six Sigma Frequency Distribution Assignment 9 The following are the weights of 3

ID: 3360312 • Letter: S

Question

Six Sigma

Frequency Distribution Assignment 9

The following are the weights of 30 steel rods:

5.96

5.51

5.59

5.68

5.51

5.60

5.68

5.78

5.64

5.68

5.64

5.67

5.54

5.72

5.50

5.89

5.60

5.68

5.89

5.55

5.89

5.53

5.50

5.60

5.53

5.59

5.50

5.53

5.67

5.68

Create a tally chart

Find the range

Determine the cell interval

Determine the cell midpoints

Determine the cell boundaries

Post the cell frequency

To make this easier the weights are coded from 5.00, therefore a weight with a value of 50 is equivalent to 5.50lb. Here is your tally chart:

Weight

Tabulation

50

3

51

2

53

3

54

1

55

1

59

2

60

3

64

2

67

2

68

5

72

1

78

1

89

3

96

1

TOTAL=30

5.96

5.51

5.59

5.68

5.51

5.60

5.68

5.78

5.64

5.68

5.64

5.67

5.54

5.72

5.50

5.89

5.60

5.68

5.89

5.55

5.89

5.53

5.50

5.60

5.53

5.59

5.50

5.53

5.67

5.68

Explanation / Answer

Range = maximum observation - minimum observation

=5.96-5.00

=0.96

interval

mid points

interval

mid points

Boundaries frequency 5.50-5.60 5.55 5.50-5.60 12 5.60-5.70 5.65 5.60-5.70 12 5.70-5.80 5.75 5.70-5.80 2 5.80-5.90 5.85 5.80-5.90 3 5.90-6.00 5.95 5.90-6.00 1