Altair® Panopticon

 

Mean

The mean of the selection.

Returns the average of a given set of numbers.

The mean is the sum of all the values in a set of numbers, divided by the number of values.

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 the sum of the values.

3 + 2 + 1 + 0 + -1 + -2 + -3 + 0 + 0 = 0

2.     Divide it by the number of values.

0/10 = 0

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

 

Groupings of numbers

Computing for the mean of the Arbitrary field based on the Grouping field will result in the table below:

Grouping

Arbitrary

1

2

2

-2

3

0

 

The resulting table

Computation details:

Group 1: 3 + 2 + 1 + 0 = 6/4 = 1.5

Group 2: -1 + -2 + -3 = -6/3 = -2

Group 3: 0 + 0 + 0 = 0/3 = 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.

Mean Results:

Number

Arbitrary

Negative Values

Positive Values

One

Binary

Currency

Decimal

6

0

-6

5

1

0

1000.00

4.55

 

The results per field.