Discrete Data/Examples/Colors of Rainbow
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Example of Discrete Data
The set $C$ of colors of the rainbow:
- $C = \set {\text {red}, \text {orange}, \text {yellow}, \text {green}, \text {blue}, \text {indigo}, \text {violet} }$
is an example of discrete data.
In such a circumstance where the discrete data are non-numerical, it is usually possible to assign (natural) numbers to each of the elements, for example:
\(\ds \text {red}\) | \(\to\) | \(\ds 1\) | ||||||||||||
\(\ds \text {orange}\) | \(\to\) | \(\ds 2\) | ||||||||||||
\(\ds \text {yellow}\) | \(\to\) | \(\ds 3\) | ||||||||||||
\(\ds \text {green}\) | \(\to\) | \(\ds 4\) | ||||||||||||
\(\ds \text {blue}\) | \(\to\) | \(\ds 5\) | ||||||||||||
\(\ds \text {indigo}\) | \(\to\) | \(\ds 6\) | ||||||||||||
\(\ds \text {violet}\) | \(\to\) | \(\ds 7\) |
and so the set $C'$ can be considered instead:
- $C' = \set {1, 2, 3, 4, 5, 6, 7}$
Sources
- 1972: Murray R. Spiegel and R.W. Boxer: Theory and Problems of Statistics (SI ed.) ... (previous) ... (next): Chapter $1$: Discrete and Continuous Variables