More Practice with Measures of the Center of Data

Complete these exercises and check your answers.

Questions

91. The median age of the U.S. population in 1980 was 30.0 years. In 1991, the median age was 33.1 years.
  1. What does it mean for the median age to rise?
  2. Give two reasons why the median age could rise.
  3. For the median age to rise, is the actual number of children less in 1991 than it was in 1980? Why or why not?


Use the following information to answer the next nine exercises: 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
92. 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.
93. 75% of all years have an FTES:
  1. at or below: _____
  2. at or above: _____

Source: Rice University, https://openstax.org/books/introductory-statistics/pages/2-homework
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