What is the average of numbers at odd positions? 54561 213156 212615685 12654546 16546565 Options : 7640503.67 76405603.67 764605603.7 76405604.67

1. Break Down the Problem

To find the average of numbers at odd positions in the given list, we need to:

1. Identify the numbers at odd positions.
2. Sum these numbers.
3. Divide the sum by the number of odd-positioned entries.

2. Relevant Concepts

Odd positions in a list typically refer to the 1st, 3rd, 5th, etc. entries.

3. Analysis and Detail

The given numbers are:

• 1st number: 54561
• 2nd number: 213156
• 3rd number: 212615685
• 4th number: 12654546
• 5th number: 16546565

Identifying the numbers at odd positions:

• Odd positions: 1st, 3rd, and 5th numbers => 54561, 212615685, and 16546565

Calculating the sum of these numbers: $\text{Sum} = 54561 + 212615685 + 16546565$

Calculating the sum step-by-step:

1. $54561 + 212615685 = 212670246$
2. $212670246 + 16546565 = 229216811$

Now, count the numbers at odd positions:

• There are 3 numbers: 54561, 212615685, and 16546565.

Now, calculating the average: $\text{Average} = \frac{\text{Sum}}{\text{Count}} = \frac{229216811}{3}$

Calculating the average: $\text{Average} = 76405603.67$

4. Verify and Summarize

Sum confirmed: $229216811$ Count confirmed: 3 numbers Average calculated correctly.

Final Answer

The average of the numbers at odd positions is 76405603.67.