Question

Data set 1: 71, 61, 50, 60

Data set 2: 76, 68, 48, 57

Find the standard deviation of the differences between these two data sets.

Please show all work and I'll give you a thumbs up! Thanks

Answer 1

First, we will find the standard deviation of each data set.

For data set 1, standard deviation is given by

First we find the mean of data set 1,

Subtracting mean from each of the data, then square the difference,

71 - 60.5 = 10.5

61 - 60.5 = 0.5

50 - 60.5 = -10.5

60 - 60.5 = -0.5

Similarly, we can find the standard deviation for the data set 2

which is 21.28.

Now, the variance can be calculated as