To find the mean (average) for both the security company and other companies, we use the following formula:

$\text{Mean} = \frac{\text{Sum of all data values}}{\text{Number of data values}}$

1. For the Security Company:

The data values are:
1.5, 1.6, 1.5, 1.6, 1.8, 1.3, 1.7, 1.3, 1.3, 1.2

• First, sum these values:
  $1.5 + 1.6 + 1.5 + 1.6 + 1.8 + 1.3 + 1.7 + 1.3 + 1.3 + 1.2 = 14.8$

• There are 10 values, so the mean is:
  $\text{Mean for Security Company} = \frac{14.8}{10} = 1.48$

2. For the Other Companies:

The data values are:
1.6, 1.8, 1.9, 2.3, 1.9, 1.5, 1.8, 2.3, 2.3, 2.2

• First, sum these values:
  $1.6 + 1.8 + 1.9 + 2.3 + 1.9 + 1.5 + 1.8 + 2.3 + 2.3 + 2.2 = 19.6$

• There are 10 values, so the mean is:
  $\text{Mean for Other Companies} = \frac{19.6}{10} = 1.96$

Means:

• Mean for Security Company: $1.48 million
• Mean for Other Companies: $1.96 million

Now that we have calculated the means, we can see that the average amount collected by the security company is lower than that of other companies.

Would you like the details for the median or have any questions so far? Below are 5 related questions to expand understanding:

1. How do we calculate the median of a dataset?
2. Why is the median a useful measure in comparing data sets?
3. What does the lower mean for the security company suggest about the data?
4. How might outliers affect the mean in both data sets?
5. How would you verify if the data shows evidence of theft or irregularities?

Tip: Always double-check the number of data points before calculating averages or other statistics to avoid miscalculations.