I the Sum of the Deviations from the Mean for the Set

question 151

Multiple Choice

i. The sum of the deviations from the mean for the set of numbers 4, 9 and 5 will equal zero. ii. If there is an even number of ungrouped values, the median is found by arranging them from low to high and then determining the arithmetic mean of the two middle values.
iii. For salaries of $102,000, $98,000, $35,000, $106,000 and $101,000, the median would be an appropriate average.

• 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.

---

Definitions:

Expected Value

The long-run average value of repetitions of the experiment it represents, reflecting the probability-weighted average of all possible values.

Probability Function

This is a function in mathematics that determines the probability of different outcomes happening in an experiment.

Weighted Average

An average where each quantity to be averaged is assigned a weight, reflecting its importance.

Continuous Random

A variable that can take an infinite number of values within a given range, where the outcomes cannot be counted and can only be described using intervals on the real number line.