To calculate the coefficient of variation, we first need to find the mean and standard deviation of the data set.
Mean (ΞΌ) = (0.752 + 0.756 + 0.752 + 0.751 + 0.760) / 5 = 3.771 / 5 = 0.7542
Next, calculate the standard deviation (Ο):
1. Calculate the squared differences between each data point and the mean:
(0.752 - 0.7542)^2 = 0.000048
(0.756 - 0.7542)^2 = 0.000032
(0.752 - 0.7542)^2 = 0.000048
(0.751 - 0.7542)^2 = 0.000102
(0.760 - 0.7542)^2 = 0.003364
2. Calculate the variance:
(0.000048 + 0.000032 + 0.000048 + 0.000102 + 0.003364) / 4 = 0.0001264
3. Take the square root of the variance to get the standard deviation:
sqrt(0.0001264) β 0.0112347
Now, calculate the coefficient of variation:
Coefficient of Variation = (standard deviation / mean) * 100
Coefficient of Variation = (0.0112347 / 0.7542) * 100 β 1.49%
Therefore, the coefficient of variation for the given data set is 1.49%. None of the options provided match this value.