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) All statements are false

Question

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) All statements are false

Quizplus · Accepted Answer

Statement (i) is correct because, for an even number of values, the median is the average of the two middle numbers, so half the values are below it. Statement (ii) is correct because the median is not affected by extreme values, as it is the middle value. Statement (iii) is incorrect because the mean can be skewed by extreme values, so there may not be an equal number of values above and below it.

I If There Is an Even Number of Ungrouped Values