Question

Suppose the following data set represents the starting salaries for the population of teachers from eight states:

$36,198
$44,166
$33,226
$35,166
$30,064
$27,274
$30,778
$32,657

Part A: Calculate the mean of the data set. (3 points)

Part B: Calculate the five-number summary. (3 points)

Part C: Calculate the standard deviation of this data set. (4 points) (10 points)

Answer 1

a) The mean of the data set is $33,691.13 and can be calculated by finding the average of the sum of the eight salaries.

b) The five number of the data set is {27,274; 30,421; 32,941.5; 35,682; 44,166} and can be calculated by finding the minimum, maximum, median, and interquartile range values.

c) The standard deviation of the data set is 4773.50 and can be calculated by finding the square root of the average of the sum of the differences from the mean squared.