Let's calculate the mean, median, mode, and range for the given data set:

Data Set: 21, 62, 66, 66, 79, 28, 63, 48, 59, 94, 19

1. Mean:
   The mean is the average of all the numbers. To calculate the mean, sum all the numbers and divide by the number of values.

   $\text{Mean} = \frac{21 + 62 + 66 + 66 + 79 + 28 + 63 + 48 + 59 + 94 + 19}{11} = \frac{605}{11} \approx 55$

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

   Ordered Data Set: 19, 21, 28, 48, 59, 62, 63, 66, 66, 79, 94

   The median is the 6th value:

   $\text{Median} = 62$

3. Mode:
   The mode is the number that appears most frequently in the data set.

   The number 66 appears twice, which is more frequent than any other number.

   $\text{Mode} = 66$

4. Range:
   The range is the difference between the maximum and minimum values.

   $\text{Range} = 94 - 19 = 75$

Summary:

• Mean: 55
• Median: 62
• Mode: 66
• Range: 75

Would you like more details or have any other questions?

Here are some related questions you might find interesting:

1. What happens to the mean if one of the values is increased by 10?
2. Can a data set have more than one mode? What does that mean?
3. How does the range help in understanding the spread of data?
4. What is the impact of outliers on the mean and median?
5. How would the calculations change if the data set had an even number of elements?

Tip: The median is a good measure of central tendency when a data set contains outliers or is skewed, as it is not affected by extremely high or low values.