Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 78.7 Mbps. The complete list of 50 data speeds has a mean of x=18.51 Mbps and a standard deviation of s=36.78 Mbps. What is the difference between carrier's highest data speed and mean of all 50 data speeds?

Question

Harry Hanna

Mathematics

8 December, 19:35

Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 78.7 Mbps. The complete list of 50 data speeds has a mean of x=18.51 Mbps and a standard deviation of s=36.78 Mbps. What is the difference between carrier's highest data speed and mean of all 50 data speeds?

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Caitlyn Randall · Answer 1

We have that the highest speed that the researchers measured was 78.7 Mbps. The mean of the whole data set was 18.51 Mbps. We need to calculate their difference which is: 78.7-18.51 = 60.19 Mbps. This is a very large difference, since it is around triple the mean. This implies that the observations were widespread and that justifies the high variance of the sample.