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

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In a right-skewed distribution, the majority of the observations are clustered towards the lower end of the range, while a few extreme values pull the mean to the right. This means that the upper quartile (Q₃) will be closer to the bulk of the data, whereas the maximum or largest value will be farther away, resulting in a greater distance between Q₃ and the largest value. Similarly, since the lower quartile (Q₁) is closer to the majority of the data, the smallest observation will have a shorter distance to Q₁ than the largest value has to Q₃. In a right-skewed distribution, the majority of the observations are concentrated on the left side of the graph, with a long tail on the right side indicating a few extreme values. This means that the upper quartile (Q₃) will be closer to the middle of the data than the minimum value, while the maximum value will be far away from the rest of the data. Therefore, the distance from Q₃ to the largest value will be greater than the distance from the smallest observation to Q₁.

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