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

100×sx¯100×sx¯

The place −

  • ss = the pattern normal deviation
  • x¯ = 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.

Answer:

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

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

2.84×100=2842.84×100=284

Step 3 – Discover the pattern imply, x¯. 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:

52.2±5.452.2±5.4%

Be aware that the RSD is expressed as a proportion.