the population parameters below describe the full time equivalent number of students

Question

The population parameters below describe the full-time equivalent number of students (FTES) each year at Lake Tahoe Community College from 1976-1977 through 2004-2005.

• μ = 1000 FTES

• median = 1,014 FTES

• σ = 474 FTES

• first quartile = 528.5 FTES

• third quartile = 1,447.5 FTES

• n = 29 years

What percent of the FTES were from 528.5 to 1447.5? (Enter your answer as a whole number.)

______%

How do you know? (Enter your percent as a whole number.)

These values are the first and third A. medians , so ______ % of the FTES are within this range.

B. means

C. standard deviation

D. parameter

E. quartiles

Answer 1

Approximately 50% of the FTES were from 528.5 to 1447.5 (inclusive). This is because 528.5 and 1447.5 are the population's 1st and 3rd quartiles, respectively. Approximately 50% of any numeric data will be between the 1st quartile (a.k.a. 25th percentile) and the 3rd quartile (a.k.a. 75th percentile), inclusive. That's because 75% - 25% = 50%.