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

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This is because in a left-skewed distribution, the majority of the data is on the right side and the tail is longer on the left. This means that the values on the left side of the distribution are smaller and more spread out, causing the range between the smallest value and Q₁ to be greater than the range between Q₃ and the largest value. In a left-skewed distribution, the majority of the data is concentrated on the right side, with long tail towards the left. This means that the lower quartile Q₁ (which represents the 25th percentile) will have a higher value than the median, as most of the data points are on the right side. Therefore, the distance from the smallest value to Q₁ will be greater than the distance from Q₃ (the upper quartile, representing the 75th percentile) to the largest value, since there are fewer data points on the left side.

In Left-Skewed Distributions, the Distance from the Smallest Value to Q₁