(i. If a distribution is highly skewed, the mean (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

(i) is correct because in a highly skewed distribution, the mean can be misleading as it is pulled towards the tail. (ii) is correct because a parameter is indeed a characteristic of a population. (iii) is correct because the median is less affected by outliers (like the age 75 in this case) and provides a better central tendency measure for skewed data.

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