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Catalogue of Mear's slide rules

Make Mear's, United Kingdom
Model Probability & quality control calculator
Notes

1. This rule is designed for industrial quality control, both to avoid poor quality products leaving a factory and to keep the costs of sampling at a scientifically acceptable minimum.
2. This rule is quite large - 19.5 cm (7.7 inches) diameter.
3. Although the instructions for rule gives a brief description of some the terms it uses it does require some understanding of statistics.
4. Both faces of the rule have a solid outer disc, a thinner rotating disc and a cursor with, in effect, multiple gauge points.
5. The rule has seven different sections and these are described in more detail below.
6. The rule has 48 scales - more than any other rule in my collection.

Front view
9933-mears-qual-01.jpg (48312 bytes)
Back view
9933-mears-qual-02.jpg (51165 bytes)
Section 1 - Poisson Probability
9933-mears-qual-03.jpg (63487 bytes)
Section 2 -Total inspected
9933-mears-qual-04.jpg (39893 bytes)
Section 3 - Average quality
9933-mears-qual-05.jpg (56729 bytes)
Section 4 - Sampling by attributes
9933-mears-qual-06.jpg (55980 bytes)
Section 5 - Sampling by variables - average size chart
9933-mears-qual-07.jpg (37465 bytes)
Section 6 - - Sampling by variables - sample range chart
9933-mears-qual-08.jpg (32159 bytes)
Section 7 - Area under probability curve
9933-mears-qual-09.jpg (54242 bytes)
 
Manufacturing date c 1970
Length 7.7" diameter.
Material Plastic
Scales Special
Cursor Plastic - multi line

The seven sections of the rule

Section 1 - Sample size - Consumer risk - Producer risk - Operating characteristics - Poisson Probabilities

This section has a series of scales giving the Poisson Probability that an Allowable Number of Defects in the Sample will not be exceeded when the batch from which it is taken has a certain percentage of defectives.

Section 2 - Total inspected

This enables a particular sampling scheme to be chosen which makes the Total Inspected a minimum and thus minimises Inspection costs.
Section 3 - Average outgoing quality - Average outgoing quality limit

Ensures that a product is kept within acceptable, specified limits.

Section 4 - Sampling by attributes - control chart limits

Enables upper an Upper Warning Limit and an Upper Action Limit to be calculated.

Section 5 - Sampling by variables - control limits for the average size chart

The calculator gives plus and minus action and warning limits for the average size of the items in each sample.

Section 6 - Sampling by variables - control limits for the sample range chart

The calculator gives Upper and Lower Warning and Action Limits from the Mean Sample Range.

Section 7 - Proportion of product outside specified limits - area under the normal probability curve

From the standard deviation this section determines the proportion of the product which will fall outside any Allowable Deviations specified.