median of 3, 4, 8, 8, 8, 10, 11, 20, 37, 46


To find the median of a set of numbers, you first need to arrange them in numerical order (if they are not already) and then find the middle value.

Here, the numbers are already in ascending order:

3, 4, 8, 8, 8, 10, 11, 20, 37, 46

Since there are 10 numbers in this set (an even number), the median is the average of the 5th and 6th values.

The 5th and 6th values are:

- 5th value: 8
- 6th value: 10

Now, calculate the average of these two values:

\[
\text{Median} = \frac{8 + 10}{2} = \frac{18}{2} = 9
\]

So, the median of the set is 9.

Would you like more details or have any questions?

Here are some related questions you might find interesting:

1. How do you find the median of a set with an odd number of elements?
2. What is the mode of the given set of numbers?
3. How does the median change if an additional value is added to the set?
4. What is the range of this set of numbers?
5. How would you find the mean of this set?

**Tip:** When finding the median of an even-numbered data set, always remember to average the two middle numbers.

Learn how to find the median of the numbers 3, 4, 8, 8, 8, 10, 11, 20, 37, 46 with a step-by-step explanation. This problem involves understanding statistical concepts like median calculation for a dataset with an even number of elements. Suitable for students in Grades 7-9.

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