Question

The first bar graph shows the number of players who have completed different levels on a football video game, and the second bar graph shows the number of players who have completed different levels on a baseball game. Identify the correct mean of both bar graphs


Football game
Basketball game

• A. Mean of team A $=14.74$, mean of team B $=28.57$
• B. Mean of team A $=18.57$, mean of team B $=38.57$
• C. Mean of team A $=14$, mean of team B $=12$
• D. Mean of team A $=28.57$, mean of team B $=14.74$

Answer 1

The correct option is D Mean of team A $=28.57$, mean of team B $=14.74$

Let’s find the mean values of both teams.

Football game:
Number of players $=35+45+25=105$
Mean $=\frac{(15\times 35)+(30\times 45)+(45\times 25)}{105}=\frac{3000}{105}=28.57$

Basketball game:
Number of players $=90+50+70+60=270$
Mean $=\frac{(12\times 90)+(14\times 50)+(16\times 70)+(18\times 60)}{270}=14.74$

Hence, option A is the correct answer.