Question

1. Imagine you and four classmates calculate variance and SD for your group. Then each of you does five speed tests individually. Which would produce larger values, those from the group or those from one individual? Why?

Answer 1

When conducting speed test in group, all five people have different mobile phones and different data service provider, i.e. different data speed. So, there is a high probability of larger variation in the standard deviation or variance due to heterogenous data.

When conducting speed test on individual basis, we will have same mobile phone and same data service provider in all five tests, i.e. low data variation due to homogeneity of data.

So, it is clear that when conducting the test in group, there is high variation in data and when conducting the test on individual basis, there is low variation in data.

So, Group data is producing larger values for standard deviation and variance as compared to individual data.