22 For each of the following situations, identify the measure of central tendenc

Question

22 For each of the following situations, identify the measure of central tendency (mean, median, or mode) that would provide the best description of the "average" or most representative score. Please explain your choice: a. A researcher asks each individual in a sample of 50 adults to name his/her favorite season (summer, fall, winter, spring). b. An insurance company would like to determine how long people remain hospitalized after a routine appendectomy. The data from a large sample indicate that most people are released after 2 or 3 days but a few develop infections and stay in the hospital for weeks c.A teacher measures scores on a standardized reading test for a sample of children from a middle-class, suburban elementary school.

Explanation / Answer

(a) Mode

EXPLANATION: The variable here is a catagorical variable. For such a variable, mean and median are not applicable.

(b) Median:

EXPLANATION: Here, the data is likely to be highly skewed. For such data with entreme vaues, mean will not give the realistic extimate. Median is unaffected by extreme values.

(c) Mean

EXPLANTION: Here if is numerical dats. So, Mean is most appropriate.

(c)

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