What is the arithmetic mean of these numbers: 105, 165, 144, 103, 113

The arithmetic mean (average) of a set of numbers is calculated by adding all the numbers together and then dividing by the total number of values.

Given the numbers: 105, 165, 144, 103, 113

1. Add the numbers together:
\[
105 + 165 + 144 + 103 + 113 = 630
\]

2. Divide the sum by the number of values (5):
\[
\frac{630}{5} = 126
\]

Thus, the arithmetic mean is **126**.

Would you like further details or have any questions?

Here are 5 related questions for further practice:
1. What is the arithmetic mean of 50, 75, 100, 125, and 150?
2. How would the mean change if you added a new number, say 200, to the set?
3. What is the median of the numbers 105, 165, 144, 103, and 113?
4. Can the arithmetic mean of a set of numbers ever be smaller than all the individual values in the set?
5. How does the arithmetic mean compare to the mode for this data set?

**Tip**: The arithmetic mean is sensitive to outliers (extremely high or low values) in the data set.

Discover how to find the arithmetic mean of the numbers 105, 165, 144, 103, and 113. This step-by-step guide covers the concept of averages, including key calculations and formulas. Perfect for students in Grades 6-8.

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