Statistics - Reliability Coefficient

Statistics – Reliability Coefficient

In chance principle and statistics, the coefficient of variation (CV), also referred to as relative normal deviation (RSD), is a standardized measure of dispersion of a chance distribution or frequency distribution.

Relative Commonplace Deviation, RSD is outlined and given by the next chance operate:

System

100Ã—sxÂ¯100Ã—sxÂ¯

The place âˆ’

• ssÂ = the pattern normal deviation
• xÂ¯xÂ¯Â = pattern imply

Instance

Drawback Assertion:

Discover the RSD for the next set of numbers: 49, 51.3, 52.7, 55.Eight and the usual deviation are 2.8437065.

Step 1Â – Commonplace deviation of pattern: 2.8437065 (or 2.84 rounded to 2 decimal locations).

Step 2Â – Multiply Step 1 by 100. Set this quantity apart for a second.

2.84Ã—100=2842.84Ã—100=284

Step 3Â – Discover the pattern imply,Â xÂ¯xÂ¯. The pattern imply is:

(49+51.3+52.7+55.8)4=208.84=52.2.(49+51.3+52.7+55.8)4=208.84=52.2.

Step 4Divide Step 2 by absolutely the worth of Step 3.

284|52.2|=5.44.284|52.2|=5.44.

The RSD is:

52.2Â±5.452.2Â±5.4%

Be aware that the RSD is expressed as a proportion.