Average runs of 6 players in cricket match was 36. If one player made 16 runs, then what is the average run of remaining players?

Options

A. 24
B. 30
C. 36
D. 40

Answer

To solve the problem, we need to find the average runs of the remaining players after one player's runs have been accounted for. Here's a step-by-step solution:

### Step 1: Calculate the total runs of all players
The average runs of 6 players is given as 36. To find the total runs scored by all 6 players, we use the formula for average:

\[ \text{Total Runs} = \text{Average} \times \text{Number of Players} \]

Substituting the values:

\[ \text{Total Runs} = 36 \times 6 = 216 \]

### Step 2: Subtract the runs of the player who scored 16
Next, we need to subtract the runs scored by the player who made 16 runs from the total runs calculated in Step 1.

\[ \text{Remaining Runs} = \text{Total Runs} - \text{Runs of one player} \]

Substituting the values:

\[ \text{Remaining Runs} = 216 - 16 = 200 \]

### Step 3: Calculate the average runs of the remaining players
Now, we need to find the average runs of the remaining 5 players. We use the average formula again:

\[ \text{Average of Remaining Players} = \frac{\text{Remaining Runs}}{\text{Number of Remaining Players}} \]

Substituting the values:

\[ \text{Average of Remaining Players} = \frac{200}{5} = 40 \]

### Conclusion
The average run of the remaining players is **40**.

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