Question:
In a basketball team with 12 players, the average height of the players is 170 cm. Out of these players, the average height of 7 players is 166 cm. What is the average height of the remaining 5 players?
In a basketball team with 12 players, the average height of the players is 170 cm. Out of these players, the average height of 7 players is 166 cm. What is the average height of the remaining 5 players?
Updated On: Mar 9, 2025
- 173.8 cm
- 175.6 cm
- 174.4 cm
- 175.2 cm
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The Correct Option is B
Solution and Explanation
Average Height Calculation
Step 1: Calculate the Total Height of All 12 Players
The average height of the 12 players is 170 cm. Using the formula for average:
\[ \frac{H}{12} = 170 \implies H = 170 \times 12 = 2040 \text{ cm} \]
Step 2: Calculate the Total Height of 7 Players
The average height of the 7 players is 166 cm:
\[ \frac{H_7}{7} = 166 \implies H_7 = 166 \times 7 = 1162 \text{ cm} \]
Step 3: Calculate the Total Height of the Remaining 5 Players
The total height of the remaining 5 players is:
\[ H_5 = H - H_7 = 2040 - 1162 = 878 \text{ cm} \]
Step 4: Calculate the Average Height of the Remaining 5 Players
The average height of the remaining 5 players is:
\[ \frac{H_5}{5} = \frac{878}{5} = 175.6 \text{ cm} \]
Step 5: Conclusion
The average height of the remaining 5 players is 175.6 cm.
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