In right-skewed distributions,the distance from Q₃ to the largest value is greater than the distance from the smallest observation to Q₁.

Question

Quizplus · Accepted Answer

In a right-skewed distribution, the tail is longer on the right side, indicating that there are a few observations that are much larger than the rest, which results in a greater distance between Q₃ (the upper quartile) and the largest observation. On the other hand, the smallest observation is likely to be close to the rest of the data, so the distance between it and Q₁ (the lower quartile) is smaller. Therefore, the statement is true.

In Right-Skewed Distributions,the Distance from Q3 to the Largest Value

In Right-Skewed Distributions,the Distance from Q₃ to the Largest Value