A teacher rated the performance of 6 students in a class. The ratings were as follows: 4, 6, 5, 7, 8, 6. The teacher listed these ratings in a frequency table. Find the mean of the frequency table.

Step 1 ：Step 1: Calculate the total number of ratings. The total number of ratings is the sum of all the frequencies. In this case, there are 6 ratings, so the total is 6.

Step 2 ：Step 2: Calculate the sum of the product of each rating and its frequency. In this case, the products are: \(4*1 = 4\), \(6*2 = 12\), \(5*1 = 5\), \(7*1 = 7\), and \(8*1 = 8\). So the sum of the products is \(4 + 12 + 5 + 7 + 8 = 36\).

Step 3 ：Step 3: Divide the sum of the products by the total number of ratings to find the mean. In this case, the mean is \(\frac{36}{6} = 6\).