Calculate the variance, standard deviation and range for each of the sets of numbers given below:

Question

a.   {3,6,2,7,3,5,8,2,5}

b. {23,28,32,28,32,35,29,31,26}

Answer 1

a.   {3,6,2,7,3,5,8,2,5}

using the Stat feature of TI calculator

Pop. Std. Dev. = 2.06

Variance = (2.06)^2=4.2436

Range = H-L = 8-2=6

b. {23,28,32,28,32,35,29,31,26}

Pop. Std. Dev. = 3.40

Variance = (3.40)^2= 9.2416

Range = H-L = 35-23=12