The average heigh tof the basket ball team A is 5ft 11inches and that ofB is 6ft 2inches . Thereare 20 players in team A and 18 players in team B.The overall average height is

Options

A. 72.42 inches
B. 72 inches
C. 70.22 inches
D. 70 inches

Answer

To find the overall average height of the basketball teams A and B, we need to follow these steps:

### Step 1: Convert the average heights to inches
- Team A's average height is 5 feet 11 inches.
- Team B's average height is 6 feet 2 inches.

To convert these heights to inches:
1. For Team A:
- 5 feet = 5 × 12 inches = 60 inches
- Total height for Team A = 60 inches + 11 inches = 71 inches

2. For Team B:
- 6 feet = 6 × 12 inches = 72 inches
- Total height for Team B = 72 inches + 2 inches = 74 inches

### Step 2: Calculate the total height for each team
- Team A has 20 players, and each has an average height of 71 inches.
- Total height of Team A = Average height × Number of players = 71 inches × 20 = 1420 inches

- Team B has 18 players, and each has an average height of 74 inches.
- Total height of Team B = Average height × Number of players = 74 inches × 18 = 1332 inches

### Step 3: Calculate the overall total height
- Overall total height = Total height of Team A + Total height of Team B
- Overall total height = 1420 inches + 1332 inches = 2752 inches

### Step 4: Calculate the total number of players
- Total number of players = Number of players in Team A + Number of players in Team B
- Total number of players = 20 + 18 = 38 players

### Step 5: Calculate the overall average height
- Overall average height = Overall total height / Total number of players
- Overall average height = 2752 inches / 38 = 72.42 inches

### Step 6: Convert the average height back to feet and inches
- To convert 72.42 inches back to feet and inches:
- Feet = 72 inches ÷ 12 = 6 feet
- Remaining inches = 72 inches % 12 = 0.42 inches (approximately 0.42 inches can be considered negligible for practical purposes)

Thus, the overall average height of the basketball teams A and B is approximately **6 feet 0 inches**.