Each student in Mr. Lamb’s class measured a pencil. The data set below shows the pencil lengths in centimeters (cm). [br][br]What is the expected length of any given pencil?[br][br]Describe the shape, center, and spread of the data.

[list=1][br][*]Order the data from least to greatest.[br][*]Calculate the interquartile range (IQR).[br][*]Multiply 1.5 times IQR.[br][*]Determine if there are any outliers at the lower end of the data.[br][*]Determine if there are any outliers at the upper end of the data.[br][*]List all the outliers.[br][*]Calculate a measure of center. This will give us an approximate expected length of any given pencil, based on Mr. Lamb’s data.[br][*]Describe the shape, center, and spread in the context of the problem.[br][/list]

Kayla is trying to estimate the cost of a house painter. She receives the following estimates, in dollars.[br][br]1288 1640 1547 1842 1553 1604 2858 1150 1844 1045 1347[br][br]She takes the mean of the data and states that the estimated cost of a house painter is $1,610.73. Is her estimate accurate?