Find the average of the following sets of scores. 178,863,441,626,205,349,462,820

Options

A. 505
B. 441
C. 349
D. 493

Answer

To find the average of the given set of scores, we will follow these steps:

### Step 1: List the Scores
The scores given are:
- 178
- 863
- 441
- 626
- 205
- 349
- 462
- 820

### Step 2: Calculate the Sum of the Scores
Now, we will add all these scores together.

\[ \text{Sum} = 178 + 863 + 441 + 626 + 205 + 349 + 462 + 820 \]

Calculating this step by step:
- \(178 + 863 = 1041\)
- \(1041 + 441 = 1482\)
- \(1482 + 626 = 2108\)
- \(2108 + 205 = 2313\)
- \(2313 + 349 = 2662\)
- \(2662 + 462 = 3124\)
- \(3124 + 820 = 3944\)

So, the total sum of the scores is \(3944\).

### Step 3: Count the Number of Scores
Next, we count how many scores there are. In this case, there are 8 scores.

### Step 4: Calculate the Average
The average is calculated by dividing the sum of the scores by the number of scores.

\[ \text{Average} = \frac{\text{Sum}}{\text{Number of Scores}} = \frac{3944}{8} \]

Now, performing the division:
- \(3944 \div 8 = 493\)

### Final Answer
The average of the given set of scores is \(493\).

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