1. The data set shows the January 1 noon temperatures in degrees Fahrenheit for a particular city in each of the past 6 years.

28 34 27 42 52 15

A. what is the five-number summary of the data set?

B. What is the mean, x (theres a line on top of the x), of the data set?

C. What is the sum of the squares of the differences between each data value and the mean? Use the table to organize your work.

D. what is the standard deviation of teh data set? use the sum f

First order the elements ...

15, 27, 28, 34, 42, 52

The "five number summary" is minimum value, 1st quartile, median 3rd quartile and maximum value ...

15, 27, 31, 42, 52

The "mean" is just the arithmetic (regular) average.

33

The sum of the squares of differences is just as it sounds for each number, subtract the mean and square it, and add all of those squares together ...

760

Standard deviation is the square root of the variance which is the average of the sum of squared differences that we just calculated above ...

It's about 11.25