| << Chapter < Page | Chapter >> Page > |
The population parameters below describe the full-time equivalent number of students (FTES) each year at Lake Tahoe Community College from 1976-77 through 2004-2005. ( Source: Graphically Speaking by Bill King, LTCC Institutional Research, December 2005 ).
Use these values to answer the following questions:
A sample of 11 years is taken. About how many are expected to have a FTES of 1014 or above? Explain how you determined your answer.
6
75% of all years have a FTES:
What percent of the FTES were from 528.5 to 1447.5? How do you know?
50%
How many standard deviations away from the mean is the median?
0.03
Additional Information: The population FTES for 2005-2006 through 2010-2011 was given in an updated report. (Source: http://www.ltcc.edu/data/ResourcePDF/LTCC_FactBook_2010-11.pdf). The data are reported here.
| Year | 2005-06 | 2006-07 | 2007-08 | 2008-09 | 2009-10 | 2010-11 |
| Total FTES | 1585 | 1690 | 1735 | 1935 | 2021 | 1890 |
Calculate the mean, median, standard deviation, first quartile, the third quartile and the IQR. Round to one decimal place.
mean = 1809.3
median = 1812.5
standard deviation = 151.2
First quartile = 1690
Third quartile = 1935
IQR = 245
Construct a boxplot for the FTES for 2005-2006 through 2010-2011 and a boxplot for the FTES for 1976-1977 through 2004-2005.
Compare the IQR for the FTES for 1976-77 through 2004-2005 with the IQR for the FTES for 2005-2006 through 2010-2011. Why do you suppose the IQRs are so different?
Hint: Think about the number of years covered by each time period and what happened to higher education during those periods.
Notification Switch
Would you like to follow the 'Collaborative statistics' conversation and receive update notifications?
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|