Consider a sample with data values of 10, 20, 11, 13, and 16. Compute the mean and median.

meanmedian

To compute the **mean** and **median** for the data set \(10, 20, 11, 13, 16\), follow these steps:

### 1. Mean (Average)
The mean is calculated by summing all the values and dividing by the number of values.

\[
\text{Mean} = \frac{10 + 20 + 11 + 13 + 16}{5} = \frac{70}{5} = 14
\]

So, the **mean** is **14**.

### 2. Median
To find the median, arrange the numbers in ascending order:
\[
10, 11, 13, 16, 20
\]

Since there are 5 values (an odd number of values), the median is the middle value, which is **13**.

Thus, the **median** is **13**.

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Let me know if you'd like further details or have questions! 

Here are 5 questions related to this:

1. How is the median affected by outliers compared to the mean?
2. What would happen to the mean if an additional value was added to the data set?
3. What is the mode of this data set, and how is it different from the mean and median?
4. How do you calculate the range for this data set?
5. Can the median ever be higher than all data values?

**Tip:** The median is often preferred over the mean when dealing with skewed data because it is less affected by extreme values.

Consider a sample with data values of 10, 20, 11, 13, and 16. Compute the mean and median.

Learn how to compute the mean and median for the data set 10, 20, 11, 13, and 16. This step-by-step guide walks you through the process of finding the average and the middle value in the set. Suitable for students in Grades 6-8.

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