Math Problem Statement

Compute the sample mean for the following data set: 17, 23, 14.

Solution

The data set provided in the image contains three numbers: 17,23,1417, 23, 14.

To compute the sample mean, we use the formula:

Mean=xin\text{Mean} = \frac{\sum x_i}{n}

where:

  • xi\sum x_i is the sum of all the data points,
  • nn is the number of data points.

Let's calculate the sample mean.

Mean=17+23+143=543=18\text{Mean} = \frac{17 + 23 + 14}{3} = \frac{54}{3} = 18

Thus, the sample mean is 1818.

Do you need any further details or clarifications?

Here are 5 related questions:

  1. What is the difference between sample mean and population mean?
  2. How does outlier data affect the sample mean?
  3. What is the median, and how does it differ from the mean?
  4. How can the sample mean be used in inferential statistics?
  5. What is the significance of using a sample mean in data analysis?

Tip: When dealing with small datasets, the sample mean can be heavily influenced by extreme values (outliers), so it's helpful to also consider the median.

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Math Problem Analysis

Mathematical Concepts

Statistics
Sample Mean

Formulas

Mean = (sum of all data points) / (number of data points)

Theorems

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Suitable Grade Level

Grades 6-8