(i. If a distribution is highly skewed, the median (measure of central tendency) should be avoided. (ii) A characteristic of the population is called a parameter
(iii) A sample revealed that the ages of musicians playing in small local combos are 36, 29, 37, 32, 36 and 75. The median is the most appropriate measure of central tendency to represent the ages of the musicians.
A) (i), (ii) and (iii) are all correct statements
B) (i) and (ii) are correct statements but not (iii).
C) (i) and (iii) are correct statements but not (ii).
D) (ii) and (iii) are correct statements, but not (i).
E) (i), (ii) and (iii) are all false statements.

Question

Quizplus · Accepted Answer

(ii) is correct because a parameter indeed refers to a characteristic of a population. (iii) is correct because in the presence of an outlier (age 75), the median is less affected by this extreme value and thus provides a better representation of the central tendency for the ages of the musicians. (i) is incorrect because when a distribution is highly skewed, the median is actually preferred over the mean, as it better represents the central tendency of the distribution without being overly influenced by extreme values.

(I If a Distribution Is Highly Skewed, the Median (Measure