To find the mean of a data set, we need to:

1. Add up all the numbers.
2. Divide the sum by the total number of values.

Let's calculate:

Step 1: Add up the values.

$124 + 115 + 51 + 160 + 70 + 58 + 210 + 168 + 150 + 120 + 70 + 90 + 130 + 120 + 180 + 115 + 160 + 90 + 130 + 115 = 2426$

Step 2: Count the number of values.

There are 19 numbers in the list.

Step 3: Calculate the mean.

$\text{Mean} = \frac{2426}{19} = 127.68$

The mean of the data is approximately 127.68.

Do you need any further explanation or details on this?

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Here are 5 related questions:

1. What is the median of the data set?
2. How can you find the mode of a data set?
3. What is the range of this data?
4. How would you calculate the variance of this data set?
5. How does the mean compare to the median in terms of data distribution?

Tip: The mean is sensitive to extreme values, which can significantly affect the result if there are outliers in your data set.