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Weights and Measures Regulations (C.R.C., c. 1605)

Regulations are current to 2024-10-30 and last amended on 2024-09-20. Previous Versions

SCHEDULE III(Section 52)

PART ISamples

Column IColumn II
ItemNumber of Units in the LotMinimum Number of Units in the Sample
1from 2 to 10All the units in the lot
2from 11 to 12825% of the units in the lot, rounded up to the next whole number, but not less than 10
3from 129 to 4 00032
4from 4 001 to 8 00064
5from 8 001 to 12 00096
6more than 12 000125

PART IIFormula for Determining the Weighted Average Quantity of the Units in a Sample

For the purposes of paragraph 52(4)(a), the formula for adjusting the sample mean to determine the weighted average quantity of the units in the sample is as follows:

Xa = x + s(t÷√n)Footnote *

where

Xa
is the weighted average quantity of the units in the sample
x
is the sample mean calculated as follows:

x = Σx ÷ n

Σx
is the sum of the net quantities of all units in the sample
t
is the value determined in accordance with Part III for the selected sample size
n
is the number of units in the sample
s
is the standard deviation of the sample, calculated as follows:
s equals the square root of the quotient of the sum of the squared differences of x minus the mean of x divided by the difference of n minus 1
Σ(x-x)2
is the sum of the squared differences between the sample mean and the net quantity of each unit in the sample.

  • Return to footnote *The value of (t ÷ √n) may, instead of being calculated in accordance with this Part, be determined using the applicable value set out in column III of the table to Part III.

PART IIITable for Values of t and (t ÷ √n)

Column IColumn IIColumn III
Sample SizetFootnote for *(t ÷ √n)Footnote for *
263.65745.01Linear Interpolation of Values
39.9255.73

Where a sample size is selected that is not listed in column I of this table and lies between 32 and 125, the value of t will be determined by linear interpolation as follows:

t = a - (c-e) ÷ (c-d)(a-b)

where

a
is the value of t for the closest sample size below the selected sample size
b
is the value of t for the closest sample size above the selected sample size
c
is the result of 120 divided by the closest sample size below the selected sample size
d
is the result of 120 divided by the closest sample size above the selected sample size
e
is the result of 120 divided divided by the selected size
45.8412.92
54.6042.06
64.0321.65
73.7071.40
83.4991.24
93.3551.12
103.2501.03
113.1690.955
123.1060.897
133.0550.847
143.0120.805
152.9770.769
162.9470.737
172.9210.708
182.8980.683
192.8780.660
202.8610.640
212.8450.621
222.8310.604
232.8190.588
242.8070.573
252.7970.559
262.7870.547
272.7790.535
282.7710.524
292.7630.513
302.7560.503
312.7500.494
322.7460.485
642.6570.332
962.6340.269
1252.6150.234

  • Return to footnote *Where all units in a lot are selected to constitute a sample, zero shall be used as the value of t and (t ÷ √n).

PART IVMinimum Number of Units for the Purposes of Paragraph 52(4)(B)

Column IColumn II
ItemSample SizeMinimum Number of UnitsFootnote for *
1from 2 to 81
2from 9 to 202
3from 21 to 323
4from 33 to 504
5from 51 to 655
6from 66 to 806
7from 81 to 1027
8from 103 to 1258

  • Return to footnote *Minimum number of units in the sample that result in the lot not meeting the requirements of the Act and these Regulations respecting the statement of quantity.

  • SOR/89-570, s. 5

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