Question

(1 point) a yoga teacher collected data on the ages of the people in her class. the median is 36 years old. the mean is 42 years old the mode is 50 years old which statement must be true? a. the oldest person in the class is 50 years old. b. most people in the class are 42 years old. c. at least half of the people in the class are 36 years old or younger. d. each person in the class is either 36, 42, or 50 years old. note: you are in the reduced scoring period: all additional work done counts 85% of the original

Explanation:

• Option A: Mode is 50 (most frequent), but it doesn't mean it's the maximum age. So A is false.
• Option B: Mean is 42 (average), not the most frequent. Mode is 50, so most people are 50, not 42. B is false.
• Option C: Median is 36, which means at least half the data is ≤ 36 (and half ≥ 36). This is a property of the median. So C is true.
• Option D: Mean, median, mode are measures, not the only ages. People can have other ages. D is false.

Answer:

C. At least half of the people in the class are 36 years old or younger.