Question

Three high school basketball teams measured the heights of all of their basketball players: The Derby Dragons have a mean height of 72.0 inches and a standard deviation of 1.2. The Aviston Aces have a mean height of 70.8 inches and a standard deviation of 0.7. The Ballwin Bears have a mean height of 73 inches and a standard deviation of 1.0. On average, which team is a taller? Which team has players whose heights are more consistent? Select the correct answer below: The Derby Dragons are taller on average, and have players whose heights are more consistent. The Ballwin Bears are taller on average, and the Derby Dragons have players whose heights are more consistent. The Derby Dragons are taller on average, and the Ballwin Bears have players whose heights are more consistent. The Ballwin Bears are taller on average, and the Aviston Aces have players whose heights are more consistent.

Answer 1

The Ballwin Bears are taller on average, and the Aviston Aces have players whose heights are more consistent.

Explanation:

for derby dragon;

mean height = 72 inches

standard deviation = 1.2 inches

for aviston aces:

mean height = 70.8

standard deviation = 0.7 inches

for balwin bears;

mean height = 73 inches

standard deviation = 1.0 inches

the mean height of aviston aces < mean height of derby < mean height of balwin bears

So on average the balwin bears are taller.

The standard deviation of derby dragon is > that of balwin bears > aviston aces.

So the more consistent height is that of aviston aces players.