Question

which of the distributions is right skewed?

Explanation:

Step1: Recall the definition of right - skewed distribution

A right - skewed distribution (positively skewed) has a longer tail on the right side. In a histogram, the majority of the data is concentrated on the left side, and the frequency decreases gradually towards the right.

Step2: Analyze each histogram

• For the first histogram: The data seems to have a more balanced or slightly left - skewed appearance.
• For the second histogram: The data has a long tail on the right (after \(x = 25\)). The majority of the data (higher bars) is on the left side (\(x = 20 - 24\)), and then the frequency decreases towards the right (\(x=26 - 31\)).
• For the third histogram: It has a more uniform increase towards the right (not a right - skewed pattern).
• For the fourth histogram: It is more symmetric or slightly left - skewed.

Answer:

The second histogram is right - skewed.