The following refer to the following data set:

26

82

39

95

47

38

56

48

39

24

What is the mean () of this data set?

mean =  (Please show your answer to one decimal place.)

What is the median of this data set?

Let's go step by step.

### Mean
The **mean** is calculated by summing all the values and dividing by the number of values.

Given the data set:  
26, 82, 39, 95, 47, 38, 56, 48, 39, 24

1. First, sum all the values:
   \[
   26 + 82 + 39 + 95 + 47 + 38 + 56 + 48 + 39 + 24 = 494
   \]

2. Now, divide the sum by the number of values. There are 10 values in total:
   \[
   \text{Mean} = \frac{494}{10} = 49.4
   \]

So, the mean of this data set is **49.4**.

---

### Median
The **median** is the middle value when the data is arranged in ascending order. If there is an even number of values, the median is the average of the two middle numbers.

First, arrange the data set in ascending order:
\[
24, 26, 38, 39, 39, 47, 48, 56, 82, 95
\]

There are 10 values, so the median is the average of the 5th and 6th values:
- 5th value: 39
- 6th value: 47

\[
\text{Median} = \frac{39 + 47}{2} = \frac{86}{2} = 43
\]

So, the median of this data set is **43**.

---

### Summary:
- **Mean** = 49.4
- **Median** = 43

Would you like more details, or do you have any questions? 

Here are 5 related questions:
1. How would the mean change if an additional data point of 100 is added?
2. What is the mode of this data set?
3. How do you find the range of a data set, and what is the range for this one?
4. How would the median be affected if the lowest value were removed?
5. What is the relationship between mean, median, and skewness in this set?

**Tip:** When the data set has outliers or is skewed, the median is often a better measure of central tendency than the mean.

The following refer to the following data set: 26, 82, 39, 95, 47, 38, 56, 48, 39, 24. What is the mean of this data set? (Please show your answer to one decimal place.) What is the median of this data set?

Discover how to calculate the mean and median of the data set 26, 82, 39, 95, 47, 38, 56, 48, 39, 24. This problem covers important concepts in descriptive statistics, including how to find the mean (49.4) and the median (43) with step-by-step solutions. Perfect for students in Grades 6-8.

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