Question

Once again, consider the data for Fred's caloric intake. 2000 2200 2100 2400 2500 1900 2200 2200 2700 2600 Find the : (enter your answers as numbers) Sample standard deviation (rounded to the nearest hundredth)

Answer 1

The sample standard deviation is of 248.19.

Explanation:

First we find the sample mean, which is needed to find the sample standard deviation.

Sample mean:

Sum of all values in the sample, divided by the number of values. So

`M = (2000+2200+2100+2400+2500+1900+2200+2200+2700+2600)/(10) = 2280`

Sample standard deviation:

Square root of the sum of the difference squared between each value and the mean, divided by the number of values. So:

`S = \sqrt{((2000-2280)^2+(2200-2280)^2+(2100-2280)^2+(2400-2280)^2+(2500-2280)^2+(1900-2280)^2+...)/(10)} = 248.19`

The sample standard deviation is of 248.19.