Which of the following is an outlier of a distribution with a 25th percentile of 8 and a 75th percentile of 12?
A) 1
B) 18
C) 2°
D) all of the other alternatives are correct

Question

Quizplus · Accepted Answer

An outlier in a distribution is typically defined as a value that is significantly higher or lower than the majority of the values in the distribution. The interquartile range (IQR) is calculated as the difference between the 75th percentile (Q3) and the 25th percentile (Q1), which in this case is 12 - 8 = 4. Outliers are usually considered to be any value that is more than 1.5 * IQR below the 25th percentile or above the 75th percentile. In this case, 1.5 * IQR = 1.5 * 4 = 6. Therefore, any value less than 8 - 6 = 2 or greater than 12 + 6 = 18 would be considered an outlier. Choices A (1) and B (18) are clearly outside these bounds. Choice C (2°) seems to be a typographical error, but if it's intended to represent 2, it would also be considered an outlier based on the calculation. Therefore, all the other alternatives are correct.

Which of the Following Is an Outlier of a Distribution