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# Statistical quality control- xchart, R chart

If a food processing company specified that the weight of each box containing 20 × 750 gram jars of jam should be 15 kg with a tolerance of 100 grams per box. A statistical quality control operation was set up and the following data was obtained:

Sample
Number Weight in kg
1 15.02 15.02 15.08 15.06
2 15.10 15.24 15.00 15.90
3 15.80 15.75 15.70 15.51
4 15.59 15.90 15.01 15.02
5 15.96 15.26 15.81 15.17
6 15.40 15.83 15.68 15.93
7 15.86 15.32 15.90 15.04
8 15.56 15.96 15.69 15.63
9 15.85 15.71 15.05 15.91
10 15.75 15.19 15.05 15.09

How would you construct a x chart based on these 10 samples?
How would you construct an R chart based on these samples.
Are there any points that have gone out of control?
What conclusion can make with these results about the quality control in the production
What non-statistical quality method(s) can I use to ensure quality in products?

#### Solution Summary

Constructs x chart and R chart, identifies out of control points etc.

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