Question

Which set of numbers are more variable? How do you know?

Set A) 61,61,62,65,70,71,75,81,82,90
Set B) 59,63,69,70,72,73,77,78,83
My guess: Does it mean by "more variable" like the most numbers in the set? Or the highest value of all the numbers combined?

Please dont just give me the answer! I will want to know how to get the answer and so on :)

Answer 1

compute Var(A) and Var(B), then take the set with the greatest variance

Answer 2

Var(A)=101, Var(B)=55. You can compute these by the variance formula.

Answer 3

What is the variance formula?

Answer 4

https://explorable.com/images/statistical-variance-calculation-population.jpg

Answer 5

ok

Answer 6

mu is the average

Answer 7

Im not quite understanding.. Were is "mu" on the formula?

Answer 8

so mu is \[\mu\]

Answer 9

oh

Answer 10

also, the formula I posted is a biased estimator of the population variance. if you want the good one, replace "N" by "N-1"

Answer 11

alright