Question

I need the range for city A and city B, and the standard deviation for city A and city B

Answer 1

The range in a data set is the highest value minus the lowest value.

The standard deviation is a quantity expressing by how much the members of a group differ from the mean value for the group.

City A (data set)

`1.00,1.00,1.25,1.50,1.50`

City B (data set)

`0.00,1.00,1.75,1.75,2.25`

City A Range

The range is 1.50 - 1.00 = 0.50

City B Range

The range is 2.25 - 0.00 = 2.25

Now,

The formula for sample standard deviation is

`s=\sqrt[]{\frac{\sum(x-\bar{x})^2}{n-1}}`

Where

s is the sample standard deviation

x bar - mean of the sample

n is the number of numbers in the data set

Using a standard deviation calculator, let's calculate the standard deviation of both data sets.

City A Standard Deviation

The standard deviation is

`s=\sqrt[]{((1.00-1.25)^2+\cdots(1.50-1.25)^2)/(5-1)}=0.25`

City B Standard Deviation

The standard deviation is

`s=\sqrt[]{((0.00-1.35)^2+\cdots(2.25-1.35)^2)/(5-1)}=0.8768`

From the data calculations, we can see that City B