Find the average of the following set of scores 253, 124, 255, 534, 836, 375, 101, 443,760

Options

A. 427
B. 413
C. 141
D. 409

Answer

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

### Step 1: List the Scores
The scores provided are:
- 253
- 124
- 255
- 534
- 836
- 375
- 101
- 443
- 760

### Step 2: Calculate the Sum of the Scores
We need to add all the scores together:
\[ 253 + 124 + 255 + 534 + 836 + 375 + 101 + 443 + 760 \]

Calculating the sum step-by-step:
- \(253 + 124 = 377\)
- \(377 + 255 = 632\)
- \(632 + 534 = 1166\)
- \(1166 + 836 = 2002\)
- \(2002 + 375 = 2377\)
- \(2377 + 101 = 2478\)
- \(2478 + 443 = 2921\)
- \(2921 + 760 = 3681\)

So, the total sum of the scores is \(3681\).

### Step 3: Count the Number of Observations
Next, we count the number of scores. There are 9 scores in total.

### Step 4: Calculate the Average
Now, we use the formula for average:
\[ \text{Average} = \frac{\text{Sum of Observations}}{\text{Total Number of Observations}} = \frac{3681}{9} \]

Performing the division:
\[ 3681 \div 9 = 409 \]

### Final Answer
The average of the given set of scores is **409**.

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