Question

Without making any calculations, which data set has the smallest standard deviation?

O 1, 1, 2, 2, 3,3
O 1, 3,5
O 0, 1, 5, 6, 9, 10
O 1, 1, 1, 1, 2, 2, 2, 2

Answer 1

the last set: {1, 1, 1, 1, 2, 2, 2, 2}

Explanation:

Notice the smallest standard deviation will come from the addition of the differences between the average value and each individual number in the set.

We notice that there is one set where all values are very close to the average . This is the set:

{1, 1, 1, 1, 2, 2, 2, 2} whose clear average is 1.5 , and therefore the deviations from the mean will produce contributions of 0.5 for each of the elements.