Question

common core algebra i b-cr
english
which data distribution would most likely have a mean and median that are not close in value?

Explanation:

Step1: Recall mean/median behavior

For symmetric distributions, mean ≈ median; for skewed distributions, mean and median differ significantly, as mean is pulled toward outliers/long tails.

Step2: Analyze each histogram

• First histogram: Skewed left (tail on low end, bulk on right).
• Second histogram: Symmetric (mirror-like shape).
• Third histogram: Skewed right (tail on high end, bulk on left).

Both skewed distributions will have mean and median not close, but the most extreme skew (or the one where the tail pulls mean far from median) is the key. The first histogram has a clear left skew, and the third has a clear right skew; both fit, but the question asks for most likely—skewed distributions (either left or right) have non-close mean/median, and the first histogram (left skew) is a clear example where mean is pulled left of median, creating a large gap.

Answer:

The first histogram (left-skewed distribution, with the tallest bar on the right and a long tail on the left)