i. If there is an even number of ungrouped values, then half of the values will be less than the median. ii. Extremely high or low scores do not affect the value of the median.
iii. There are always as many values above the mean as below it.
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) (i) is a correct statement, but not (ii) or (iii).
E) (i), (ii) and (iii) are all false statements.

Question

Quizplus · Accepted Answer

Statement (i) is correct because by definition, the median is the middle value in a set of ordered data. If there is an even number of values, then the middle two values are averaged to find the median, which means that half of the values are less than the median. Statement (ii) is also correct because the median is not affected by extreme values. However, statement (iii) is incorrect because the mean can be easily skewed by extreme values, which can result in more values above or below the mean.

I If There Is an Even Number of Ungrouped Values