Math Problem Statement

Find the arithmetic mean; 6 and 18, 7 and 27

Solution

To find the arithmetic mean of two pairs of numbers, we calculate the average of each pair separately.

  1. First pair: 6 and 18 Mean=6+182=242=12\text{Mean} = \frac{6 + 18}{2} = \frac{24}{2} = 12

  2. Second pair: 7 and 27 Mean=7+272=342=17\text{Mean} = \frac{7 + 27}{2} = \frac{34}{2} = 17

So, the arithmetic means are:

  • For 6 and 18: 12
  • For 7 and 27: 17

Would you like more details or have any questions?

Here are 5 related questions you might find useful:

  1. What is the arithmetic mean of 10 and 30?
  2. How is the arithmetic mean different from the geometric mean?
  3. What is the median of the set {6, 18, 7, 27}?
  4. How do you calculate the mean of three or more numbers?
  5. What is the arithmetic mean of 15, 25, and 35?

Tip: The arithmetic mean is simply the average of a set of numbers, and it's useful in finding central tendencies.

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Math Problem Analysis

Mathematical Concepts

Arithmetic Mean
Average
Basic Operations

Formulas

Arithmetic mean formula

Theorems

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Suitable Grade Level

Grades 4-6