The runs scored by a cricket player in 20 matches are given below.
32, 17, 0, 61, 17, 32, 17, 5, 61, 70, 5, 32, 17, 61, 5, 17, 70, 32, 17, 32
Find the average score of the player.

Options

A. 45
B. 30
C. 35
D. 40

Answer

To find the average score of the cricket player based on the runs scored in 20 matches, we can follow these steps:

### Step-by-Step Solution:

1. **List the Runs Scored**:
The runs scored by the player in 20 matches are:
32, 17, 0, 61, 17, 32, 17, 5, 61, 70, 5, 32, 17, 61, 5, 17, 70, 32, 17, 32.

2. **Create a Frequency Table**:
We will count how many times each score appears:
- 0 runs: 1 time
- 5 runs: 3 times
- 17 runs: 6 times
- 32 runs: 5 times
- 61 runs: 3 times
- 70 runs: 2 times

This can be summarized in a table:

| Runs | Frequency |
|------|-----------|
| 0 | 1 |
| 5 | 3 |
| 17 | 6 |
| 32 | 5 |
| 61 | 3 |
| 70 | 2 |
| **Total** | **20** |

3. **Calculate the Weighted Sum**:
We multiply each score by its frequency and then sum these products:
- \(0 \times 1 = 0\)
- \(5 \times 3 = 15\)
- \(17 \times 6 = 102\)
- \(32 \times 5 = 160\)
- \(61 \times 3 = 183\)
- \(70 \times 2 = 140\)

Now, add these values together:
\[ 0 + 15 + 102 + 160 + 183 + 140 = 600 \]

4. **Calculate the Average**:
The average score is calculated by dividing the total weighted sum by the total frequency (number of matches):
\[ \text{Average} = \frac{\text{Total Runs}}{\text{Total Matches}} = \frac{600}{20} = 30 \]

### Final Answer:
The average score of the player is **30**.

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