Problem 2. Here are two sets of data, both representing 24 independent measureme

Question

Problem 2. Here are two sets of data, both representing 24 independent measurements of the length (em) of a single rod by different individuals. In the first set, data was recorded using a regular meter stick, to a precision of 1 mm. The second set represents the measurements using a micrometer to the nearest micron, 1 m = 10-6 m. 32.0 32.0 32.0 32.0 32.0 31.9 32.0 32.0 31.9 32.2 31.9 32.0 31.9 31.9 31.9 32.0 32.0 32.0 31.9 32.0 31.9 31.9 32.0 32.0 31.9659 32.0481 31.9756 32.0369 31.9924 31.9284 32.0245 32.0291 31.9381 32.2135 31.9328 31.9594 31.9393 31.9025 31.8917 32.0054 31.9836 31.9988 31.9257 31.9923 31.9396 31.9102 31.9638 31.9867 Calculate the coefficient of variation for each data set; it is easier to do this by coding the data.

Explanation / Answer

Rcode:

meter_stick <- c(32,32,32,32,32,31.9,32,32,31.9,32.2,31.9,32,31.9,31.9,31.9,32,32,32,31.9,32,31.9,

micro_meter <- c(31.9659,32.0481,31.9756,32.0369,31.9924,31.9284,32.0245,32.0291,31.9381,
32.2135,31.9328,31.9594,31.9393,31.9025,31.8917,32.0054,31.9836,
31.9988,31.9257,31.9923,31.9396,31.9102,31.9638,31.9867)

Coeff.Variation.Prcnt_meter_stick <- sd(meter_stick)/mean(meter_stick)*100
Coeff.Variation.Prcnt_micro_meter <- sd(micro_meter)/mean(micro_meter)*100

Coeff.Variation.Prcnt_meter_stick
Coeff.Variation.Prcnt_micro_meter

output:

Coeff.Variation.Prcnt_meter_stick
0.2159009
> Coeff.Variation.Prcnt_micro_meter
0.2067716

therefore coefficient of variation in first set is 0.2159009

coefficient of variation in second set is 0.2067716

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