Read the following and answer the questions that follows.
During a cricket match. India playing against NZ scored in the following manner:
`{:("Partnership", "Runs scored"),( "1st wicket", 112),( "2nd wicket" ,58), ("3rd wicket", 72),("4th wicket" ,92),("5th wicket" ,46),("6th wicket", 23):}`
The maximum average runs scored by the first five batsmen could be

Options

A. 80.6
B. 66.8
C. 76
D. Cannot be determined

Answer

To find the maximum average runs scored by the first five batsmen in the cricket match, we will follow these steps:

### Step 1: List the Runs Scored
We have the runs scored by each partnership:
- 1st wicket: 112 runs
- 2nd wicket: 58 runs
- 3rd wicket: 72 runs
- 4th wicket: 92 runs
- 5th wicket: 46 runs
- 6th wicket: 23 runs

### Step 2: Identify the Runs for the First Five Batsmen
To calculate the average for the first five batsmen, we will consider the runs from the first five partnerships:
- 1st wicket: 112
- 2nd wicket: 58
- 3rd wicket: 72
- 4th wicket: 92
- 5th wicket: 46

### Step 3: Calculate the Total Runs for the First Five Batsmen
Now, we will sum these runs:
\[ \text{Total Runs} = 112 + 58 + 72 + 92 + 46 \]
Calculating this gives:
\[ \text{Total Runs} = 112 + 58 = 170 \\ 170 + 72 = 242 \\ 242 + 92 = 334 \\ 334 + 46 = 380 \]

### Step 4: Calculate the Average Runs
The average runs scored by the first five batsmen can be calculated using the formula:
\[ \text{Average} = \frac{\text{Total Runs}}{\text{Number of Batsmen}} \]
Here, the number of batsmen is 5. Thus:
\[ \text{Average} = \frac{380}{5} \]
Calculating this gives:
\[ \text{Average} = 76 \]

### Conclusion
The maximum average runs scored by the first five batsmen is **76**.

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