Questions: Consider the chart below. Which of the following statements is correct?
Average Revenue = 1.00
Average Atvenue = 2.25
Average Revenue = 2.00
Average Revenue = 2.50
Transcript text: Consider the chart below. Which of the following statements is correct?
Average Revenue $=\$ 1.00$
Average Atvenue $=\$ 2.25$
Average Revenue $=\$ 2.00$
Average Revenue $=\$ 2.50$
Solution
Solution Steps
Step 1: Define the Data
We are given a set of revenue values:
\[
\{1.00, 2.25, 2.00, 2.50\}
\]
Step 2: Calculate the Mean
To find the average revenue \( \mu \), we use the formula for the mean:
\[
\mu = \frac{\sum_{i=1}^N x_i}{N}
\]
where \( N \) is the number of data points. In this case, \( N = 4 \) and the sum of the revenues is:
\[
\sum_{i=1}^N x_i = 1.00 + 2.25 + 2.00 + 2.50 = 7.75
\]
Thus, the mean is calculated as:
\[
\mu = \frac{7.75}{4} = 1.9375
\]
Step 3: Round the Mean
Rounding \( \mu \) to two decimal places gives us:
\[
\mu \approx 1.94
\]
Step 4: Compare with Given Statements
We compare the calculated average revenue \( 1.94 \) with the provided statements:
Average Revenue \( = \$ 1.00 \)
Average Revenue \( = \$ 2.25 \)
Average Revenue \( = \$ 2.00 \)
Average Revenue \( = \$ 2.50 \)
Since \( 1.94 \) does not match any of the provided statements, we conclude that none of the statements are correct.