Question

which of the distributions is left skewed?

Explanation:

Step1: Recall the definition of left - skewed distribution

A left - skewed distribution (negatively skewed) has a longer tail on the left side. The bulk of the data is concentrated on the right side.

Step2: Analyze each histogram

• For the first histogram: The tail is not clearly on the left.
• For the second histogram: The tail is not on the left.
• For the third histogram: The tail is on the left. The bars decrease from left (higher frequency on the left - most bars) to right, but the "tail" (the part with lower - frequency bars) is on the left.
• For the fourth histogram: The distribution is more symmetric or has a very short tail.

Answer:

The third distribution (the one with \(x\) - values \(78,80,82,84,86,88,90,92,94,96,98,100\)) is left - skewed.