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.