(i. A small manufacturing company with 52 employees has annual salaries distributed such that the mean is $25,459, the median is $24,798 and the mode is $24,000. An additional foreman is hired at an annual salary of $50,700. The measure of central tendency that is most affected by the addition of this salary is the median. (ii) In the relationship between the mean and median in a negatively skewed distribution the mean is less than the median.
(iii) In the relationship between the median and the mode in a positively skewed distribution, the median is greater than 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 incorrect because the mean is most affected by extreme values, such as a significantly higher salary. Adding a high salary would increase the mean more than it would affect the median or mode.- (ii) is correct because in a negatively skewed distribution, the tail is on the left, which means there are a few low values pulling the mean down below the median.- (iii) is correct because in a positively skewed distribution, the tail is on the right, indicating a few high values. This results in the mode being the lowest value, followed by the median, and then the mean as the highest among the three measures of central tendency.

(I a Small Manufacturing Company with 52 Employees Has Annual