Mean wages of both the factories are the same, i.e., Rs. 5300.
To compare variation, we need to find out the coefficient of variation (CV)
We know, CV = , \(\frac{SD}{Mean}\times100\) where SD is the standard deviation.
The variance of factory A is 100 and the variance of factory B is 81.
Now, SD of factory A = \(\sqrt{100}\) = 10
And, SD of factory B = \(\sqrt{81}\) = 9
Therefore,
The CV of factory A = \(\frac{10}{5300}\times100\) = 0.189
The CV of factory B = \(\frac{9}{5300}\times100\) = 0.169
Here, the CV of factory A is greater than the CV of factory B.
Hence, factory A has more variation.