Question

the dot plots show the ages of players on two soccer teams. which statements are true? check all that apply. the lions have more variability in the ages of their players. the eagles have more variability in the ages of their players. the lions have more players. the eagles have more players. the mean of the ages of lions is less than the mean of the ages of eagles.

Explanation:

Step1: Analyze variability

Variability can be seen by the spread of data points. The Eagles' data points are more spread out, so they have more variability.

Step2: Count number of players

Counting dots for Eagles and Lions: Eagles have 9 dots and Lions have 8 dots, so Eagles have more players.

Step3: Estimate means

For Eagles: $(7 + 8\times2+9\times3 + 10+11\times3+12)\div9=\frac{7 + 16+27+10+33+12}{9}=\frac{105}{9}\approx11.67$. For Lions: $(9\times2+10 + 11\times5+12\times2)\div8=\frac{18+10+55+24}{8}=\frac{107}{8} = 13.375$. Mean of Lions is greater.

Answer:

The Eagles have more variability in the ages of their players.
The Eagles have more players.