histogram

Variation In Brakeline Tube LengthSpecification: 35 Inches +/- 1.5 InchesIntervalsQuantityQuantity

33.5 33.754180

33.75 3413687

34 34.2518618

34.25 34.519634

34.5 34.7517981

34.75 357190

35 35.2516369

35.25 35.53212

35.5 35.754122

35.75 369200

36 36.256461

36.25 36.53435

Developing A Histogram

Rahul Laxman IyerASQ Certified Quality EngineerCertificate #63672Mesa AZ USA

5 November 2015

One Of The 7 Basic Tools Of Quality

Histogram

Definition Of A Histogram

History Regarding The Histogram

How To Develop A Histogram

Rules Of Thumb For Determining Data Bins For A Histogram

Example Of A Histogram

Conclusion

Definition of a Histogram

A graphical representation of the distribution of numerical data

often confused with a bar chart

Very useful statistical technique to understand the spread of data for a process


Initially developed by Karl (Carl) Pearson in 1891

Statistician, University College London


Collect a sample of data (minimum of 30 data points)

Break it down into Bins of data based upon interval range for the sample data values

Once Bins have been determined, count the number of data points in each bin

Plot the number of data points in each bin to form a histogram


Need to develop the number of bins for representing data

Most common: Sturges's Formula & Rice Rule

Sturges's Formula:

Rice's Rule:


From a production line that cuts brakeline tube to length

Length Data on next slide collected over the last 24 hours

Three shift operation, 8 hours per shift

Data presented in intervals or Data Bins

Specification is 35 inches +/-1.5 inches

Example Data For Histogram

Bin (number)Interval (inches)Quantity (qty)

133.5 33.754180

233.75 3413687

334 34.2518618

434.25 34.519634

534.5 34.7517981

634.75 357190

735 35.2516369

835.25 35.53212

935.5 35.754122

1035.75 369200

1136 36.256461

1236.25 36.53435

Example Histogram Plot

Conclusion

Definition Of A Histogram





Conclusion

One Of The 7 Basic Tools Of Quality

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