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Greenville Middle School just announced the 1616 homeroom classes for the next school year. Most of the homerooms have at least 2020 students, while the biggest class has 2828. The mean number of students in a homeroom is about 2424, and the mean absolute deviation is 2.252.25 students.\newlineWhich is a measure of how much the number of students in the new homerooms typically varies?\newlineChoices:\newline(A)2.252.25 students\newline(B)2020 students\newline(C)2424 students\newline(D)2828 students\newline

Full solution

Q. Greenville Middle School just announced the 1616 homeroom classes for the next school year. Most of the homerooms have at least 2020 students, while the biggest class has 2828. The mean number of students in a homeroom is about 2424, and the mean absolute deviation is 2.252.25 students.\newlineWhich is a measure of how much the number of students in the new homerooms typically varies?\newlineChoices:\newline(A)2.252.25 students\newline(B)2020 students\newline(C)2424 students\newline(D)2828 students\newline
  1. Understand the question: Understand the question.\newlineWe need to find the measure that shows the typical variation in the number of students per homeroom.
  2. Identify relevant data: Identify the relevant data from the problem.\newlineThe mean absolute deviation given is 2.252.25 students. This measure describes how much the values (number of students in this case) deviate from the mean (average).
  3. Match measure to choices: Match the measure to the choices provided.\newlineThe mean absolute deviation is explicitly mentioned as 2.252.25 students, which corresponds to choice (A).

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