1. There are 10 employees in a particular division of a company. Their salaries have a mean of
$70,000, a median of $55,000, and a standard de- viation of $60,000. The largest number on the list is $100,000. By accident, this number is changed to $1,000,000.
a. What is the value of the mean after the change?
b. What is the value of the median after the change?
c. What is the value of the standard deviation after the change?
2. Quartiles divide a sample into four nearly equal pieces. In general, a sample of size n can be broken into k nearly equal pieces by using the cutpoints (i/ k)(n +1)
for i = 1,..., k - 1. Consider the following ordered
sample:
2 18 23 41 44 46 49 61
62 74 76 79 82 89 92 95
a. Tertiles divide a sample into thirds. Find the tertiles of this sample.
b. Quintiles divide a sample into fifths. Find the quintiles of this sample.