Math Problem Statement

Find the mean of the first 10 odd integers

Solution

To find the mean of the first 10 odd integers, we can follow these steps:

Step 1: List the first 10 odd integers

The first 10 odd integers are: 1,3,5,7,9,11,13,15,17,191, 3, 5, 7, 9, 11, 13, 15, 17, 19

Step 2: Calculate the sum of these integers

Sum = 1+3+5+7+9+11+13+15+17+191 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19

Sum=100\text{Sum} = 100

Step 3: Divide the sum by the number of integers to find the mean

Mean Mean=SumNumber of integers\text{Mean} = \frac{\text{Sum}}{\text{Number of integers}}

Mean=10010=10\text{Mean} = \frac{100}{10} = 10

Final Answer:

The mean of the first 10 odd integers is 10.

Would you like further details or have any questions? Here are some related questions you might find interesting:

  1. How do you find the mean of any arithmetic sequence?
  2. What is the difference between mean, median, and mode?
  3. How would the mean change if you included the first 20 odd numbers?
  4. What are some examples of real-world applications of mean?
  5. How does the mean relate to the concept of average in statistics?

Tip: The mean of an arithmetic sequence can also be found using the formula for the mean of the first and last terms when the sequence is evenly spaced!

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Math Problem Analysis

Mathematical Concepts

Arithmetic Sequences
Mean
Summation

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8