a group of foor numbers has an average pf 14. The first three numbers are 11,12 and 15. What is the fourth number

To find the fourth number in the group, we can use the formula for the average:

\[
\text{Average} = \frac{\text{Sum of all numbers}}{\text{Number of numbers}}
\]

Given:
- Average = 14
- First three numbers = 11, 12, 15
- Number of numbers = 4

1. Calculate the total sum of the four numbers:
   \[
   14 = \frac{\text{Sum}}{4} \implies \text{Sum} = 14 \times 4 = 56
   \]

2. Calculate the sum of the first three numbers:
   \[
   11 + 12 + 15 = 38
   \]

3. Now, let \( x \) be the fourth number:
   \[
   38 + x = 56 \implies x = 56 - 38 = 18
   \]

Thus, the fourth number is **18**.

Would you like more details or do you have any questions? Here are some related questions to consider:

1. How do you calculate the average of a different set of numbers?
2. What happens to the average if one of the numbers changes?
3. Can you find the average of a group of five numbers?
4. How do you determine if a number is an outlier in a set?
5. What methods can be used to represent data averages visually?

**Tip:** Always double-check your calculations by substituting back into the average formula!

A group of four numbers has an average of 14. The first three numbers are 11, 12, and 15. What is the fourth number?

Discover how to find the fourth number in a group of four numbers with an average of 14, given the first three numbers as 11, 12, and 15. This problem illustrates the concept of averages and the calculation involved, suitable for Grades 5-7.

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