(i. The arithmetic mean (measure of central tendency) cannot be determined if the distribution has an open-ended class. (ii) The measure of central tendency used to determine the average annual percent increase in sales from one time period to another is the geometric mean.
(iii) The smallest measure of central tendency in a positively skewed distribution is the mode.
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 the arithmetic mean is calculated by adding all the values in a dataset and dividing by the number of values. If a dataset has an open-ended class, then the value of the last class is not known, so the arithmetic mean cannot be calculated.(ii) is correct because the geometric mean is calculated by multiplying all the values in a dataset and then taking the nth root, where n is the number of values. The geometric mean is used to calculate the average annual percent increase in sales because it takes into account the compounding effect of growth.(iii) is incorrect because the smallest measure of central tendency in a positively skewed distribution is the median, not the mode. The median is the middle value in a dataset, while the mode is the value that occurs most frequently.

(I the Arithmetic Mean (Measure of Central Tendency) Cannot Be