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Answer:

Please check your answer my dear friend of your question

Step-by-step explanation:

To calculate the mean (average) of a set of numbers, you sum up all the numbers and then divide by the total count of numbers.

Let's sum up the numbers first:

\[170 + 174 + 178 + 181 + 174 + 175 + 179 + 180 + 177 + 188 = 1796\]

Now, we count how many numbers are in the set, which is \(10\).

To find the mean, we divide the sum by the total count:

\[Mean = \frac{1796}{10} = 179.6\]

So, the mean of the set of numbers is \(179.6\).