Altair® Panopticon

### Abs

The sum of absolute values of the selection.

This method returns the sum of the absolute values of each item in a set of numbers.

The absolute value of a number refers to the number without its sign.

Adding each item of a set of numbers will produce its total or sum.

Sample 1

Given a list of arbitrary numbers:

 Arbitrary 3 2 1 0 -1 -2 -3 0 0 0

A list of positive and negative numbers

Steps:

1.     Compute for the absolute value of each item.

 Arbitrary 3 2 1 0 1 2 3 0 0 0

The list of absolute values.

2.     Compute the sum of the absolute numbers.

3 + 2 + 1 + 0 + 1 + 2 + 3 + 0 + 0 + 0 = 12

Sample 2

Assuming that the same list of numbers has multiple groupings or breakdowns as shown below.

 Grouping Arbitrary 1 3 1 2 1 1 1 0 2 -1 2 -2 2 -3 3 0 3 0 3 0

The list of values with groupings.

Steps:

1.     Compute for the absolute values of each item based on the Grouping defined.

 Grouping Arbitrary 1 3 1 2 1 1 1 0 2 1 2 2 2 3 3 0 3 0 3 0

The list of absolute values with groupings.

2.     Compute the sum of the absolute numbers based on the grouping.

 Grouping Arbitrary 1 6 2 6 3 0

The final result.

Computation Details:

Group 1: 3 + 2 + 1 + 0 = 6

Group 2: 1 + 2 + 3 = 6

Group 3: 0 + 0 + 0 = 0

Sample 3

Given the following sample fields:

 Number Arbitrary Negative Values Positive Values One Binary Currency Decimal 1 3 -1 1 1 0 \$1.00 1.01 2 2 -2 2 1 \$10.00 2.02 3 1 -3 3 0 \$100.00 3.03 4 0 -4 4 1 \$1,000.00 4.04 5 -1 -5 5 0 \$10,000.00 5.05 6 -2 -6 6 1 -\$1.00 6.06 7 -3 -7 7 0 -\$10.00 7.07 8 0 -8 8 -\$100.00 8.08 9 0 -9 9 -\$1,000.00 9.09 10 0 -10 0 \$0.00 0.00

Sample fields.

Abs Results:

 Number Arbitrary Negative Values Positive Values One Binary Currency Decimal 55 12 55 45 1 3 12,222.00 45.45

The results per field.