The average height of the basketball team A is 5 ft 11 inches and that...
The question is asking us to find the overall average height of two basketball teams, Team A and Team B. We are given the average height of each team and the number of players in each team.
To find the overall average height, we need to calculate the total height of all the players in both teams and divide it by the total number of players.
Let's calculate the total height of Team A first:
- Average height of Team A = 5 ft 11 inches
- Number of players in Team A = 20
To calculate the total height, we need to convert the average height into inches. Since there are 12 inches in a foot, we can convert 5 ft 11 inches into inches as follows:
5 ft = 5 * 12 = 60 inches
11 inches = 11 inches
Total height of Team A = (60 inches + 11 inches) * 20 players = 1420 inches
Similarly, let's calculate the total height of Team B:
- Average height of Team B = 6 ft 2 inches
- Number of players in Team B = 18
Converting the average height of Team B into inches:
6 ft = 6 * 12 = 72 inches
2 inches = 2 inches
Total height of Team B = (72 inches + 2 inches) * 18 players = 1296 inches
Now, we can find the overall total height by adding the total height of both teams:
Overall total height = Total height of Team A + Total height of Team B
= 1420 inches + 1296 inches
= 2716 inches
Finally, we can find the overall average height by dividing the overall total height by the total number of players:
Overall average height = Overall total height / (Number of players in Team A + Number of players in Team B)
= 2716 inches / (20 players + 18 players)
= 2716 inches / 38 players
= 71.47 inches
Therefore, the correct answer is option 'A' - 74.42 inches.