Average runs scored by 11 players of a cricket team is 23. If the first player scored 113 runs. Find the average runs of the remaining players.

Options

A. 8 runs
B. 12 runs
C. 14 runs
D. 27 runs

Answer

To solve the problem step by step, we will follow these calculations:

1. **Calculate the total runs scored by all players.**
- The average runs scored by 11 players is given as 23.
- To find the total runs scored by all players, we use the formula:
\[ \text{Total Runs} = \text{Average} \times \text{Number of Players} \]
- Substituting the values:
\[ \text{Total Runs} = 23 \times 11 = 253 \]

2. **Determine the runs scored by the remaining players.**
- The first player scored 113 runs.
- To find the total runs scored by the remaining 10 players, we subtract the runs scored by the first player from the total runs:
\[ \text{Remaining Runs} = \text{Total Runs} - \text{First Player's Runs} \]
- Substituting the values:
\[ \text{Remaining Runs} = 253 - 113 = 140 \]

3. **Calculate the average runs of the remaining players.**
- Now, we need to find the average runs scored by the remaining 10 players. We use the formula:
\[ \text{Average of Remaining Players} = \frac{\text{Remaining Runs}}{\text{Number of Remaining Players}} \]
- Substituting the values:
\[ \text{Average of Remaining Players} = \frac{140}{10} = 14 \]

Thus, the average runs scored by the remaining players is **14**.