Let's solve the given questions step by step for the provided data set:

Data set:
$3, 3, 3, 7, 8, 7, 6, 2, 9, 9, 1$

1. Mean (Average):

The formula for the mean is:

$\text{Mean} = \frac{\text{Sum of all data points}}{\text{Number of data points}}$

First, let's calculate the sum of the data:

$3 + 3 + 3 + 7 + 8 + 7 + 6 + 2 + 9 + 9 + 1 = 58$

Now, count the number of data points. There are 11 data points.

So, the mean is:

$\text{Mean} = \frac{58}{11} \approx 5.27$

2. Median:

The median is the middle value when the data points are arranged in ascending order. If there is an odd number of data points, the median is the middle number.

Let's first arrange the data in ascending order:

$1, 2, 3, 3, 3, 6, 7, 7, 8, 9, 9$

Since we have 11 data points (which is odd), the median is the 6th number in this ordered list.

Thus, the median is:

$\text{Median} = 6$

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Final answers:

• Mean: $5.27$
• Median: $6$

Would you like a detailed explanation on how these values are calculated? Or is there any other question you have?

Here are 5 related questions you might find interesting:

1. How do you find the mode of a data set?
2. What is the difference between mean, median, and mode?
3. How does the presence of outliers affect the mean and median?
4. What is the range of this data set?
5. How would you calculate the standard deviation for this data set?

Tip: If you're dealing with large data sets, using a calculator or software to compute the mean and median can save time!