(i. The mean is the measure of central tendency that uses all of the observations in its calculation. (ii) The mode is the class with the fewest number of observations.
(iii) If a set of observations contains an extreme value and none of the observations repeat themselves, the median is the most representative measure of central tendency.
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

Statement (i) is true as the mean is indeed a measure of central tendency that takes into account all observations. 
Statement (ii) is false as the mode is actually the value or values that occur with the highest frequency, not necessarily the class with the fewest observations. 
Statement (iii) is true, as the median is less sensitive to extreme values than the mean, and is a better measure of central tendency when there are outliers present in the data.

(I the Mean Is the Measure of Central Tendency That