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- Practice 2: spread of the data
Practice exercise for Descriptive Statistics
Student learning outcomes
- The student will calculate measures of the center of the data.
- The student will calculate the spread of the data.
Given
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:
-
= 1000 FTES
- Median = 1014 FTES
-
= 474 FTES
- First quartile = 528.5 FTES
- Third quartile = 1447.5 FTES
-
= 29 years
Calculate the values
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
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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.
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Source:
OpenStax, Collaborative statistics. OpenStax CNX. Jul 03, 2012 Download for free at http://cnx.org/content/col10522/1.40
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