Consider the following data.

−14,−14,7,0,7,−14,7

Step 1 of 3 :  Determine the mean of the given data.

To find the mean of the given data set, follow these steps:

1. **Sum all the values in the data set.**
2. **Divide the sum by the number of values.**

Here's the calculation:

Given dataTo find the mean of the given data set, follow these steps:

1. **Sum all the values in the data set.**
2. **Divide the sum by the number of values.**

Here's the calculation:

Given  \(-14, -14, 7, 0, 7, -14, 7\)

**Step 1: Sum the values.**
\[
-14 + (-14) + 7 + 0 + 7 + (-14) + 7 = -14 - 14 + 7 + 0 + 7 - 14 + 7
\]

\[
= -42 + 21 = -21
\]

**Step 2: Divide the sum by the number of values.**

The number of values is 7.

\[
\text{Mean} = \frac{-21}{7} = -3
\]

So, the mean of the given data is \(-3\).

Would you like further details or explanations on this calculation? Here are some related questions to consider:

1. What is the median of the given data?
2. How do you calculate the mode of this data set?
3. What is the range of the given data?
4. How would you calculate the variance of this data set?
5. How does adding a new value affect the mean of a data set?

**Tip:** Remember, the mean is a measure of the central tendency and can be influenced by extreme values (outliers) in the data set.

Consider the following data -14, -14, 7, 0, 7, -14, 7. Determine the mean of the given data.

Learn how to calculate the mean of the data set -14, -14, 7, 0, 7, -14, 7 with a detailed step-by-step solution. This problem covers fundamental statistical concepts, including the arithmetic mean theorem. Suitable for students in Grades 6-8.

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