The masses of the fish caught by two anglers are compared. Ravi: mean \(1.8\) kg, range \(0.6\) kg. Sofia: mean \(1.9\) kg, range \(2.4\) kg. Write down two...

A proper comparison of two data sets uses one measure of average and one measure of spread, and each statement must mention both anglers so that the comparison is explicit.

Average. Sofia's mean is \(1.9\) kg and Ravi's is \(1.8\) kg. Since \(1.9 \gt 1.8\), Sofia's fish are heavier on average than Ravi's [B1].

Spread. Ravi's range is \(0.6\) kg while Sofia's is \(2.4\) kg. A smaller range means the masses are packed into a narrower interval, so Ravi's fish are more consistent in mass, or equivalently Sofia's masses are more spread out [B1].

The mean answers "how heavy typically" and the range answers "how varied", so the two statements say genuinely different things. Marks are lost for a bare statement such as "Sofia's is bigger", which does not say which measure is meant, and for comparing only one angler ("Ravi has a small range") without reference to the other. Note also that a larger range does not mean Sofia caught heavier fish overall; it means her catch included both lighter and heavier fish than Ravi's narrow spread allowed.