  # Safe Food for Canadians Regulations (SOR/2018-108)

Regulations are current to 2020-10-05 and last amended on 2019-06-17. Previous Versions

## SCHEDULE 5(Subsection 200(2) and paragraphs 200(4)(a) and (b))

### PART 2Formula for Determining the Weighted Average Quantity of the Units in a Sample

For the purposes of paragraph 200(4)(a) of these Regulations, 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 = ∑x ÷ n

where

∑x
is the sum of the net quantities of all units in the sample;
s
is the standard deviation of the sample, calculated as follows:

s = √(∑(x – x)2 ÷ (n – 1))

where

∑(x – x)2
is the sum of the squared differences between the sample mean and the net quantity of each unit in the sample;
t
is the value determined in accordance with Part 3 for the selected sample size; and
n
is the number of units 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 3 of the table to Part 3.

### PART 3Table for Values of t and (t ÷ √n)

• Return to footnote 1If all units in a lot are selected to constitute a sample, zero must be used as the value of t and (t ÷ √n).

• Return to footnote 2The value of t will be determined by linear interpolation as follows:

t = a – ((a – b) × (c – e) ÷ (c – d))

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; and
e
is the result of 120 divided by the selected sample size.

### PART 4Minimum Number of Units for the Purposes of Paragraph 200(4)(b)

• Return to footnote 1Minimum number of units in the sample that results in the lot not meeting the requirements of the Act and these Regulations respecting the declaration of net quantity.

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