Given that ∑fx = 340 and N = 20, find the arithmetic mean.

To find the arithmetic mean, we need to divide the sum of all the values by the total number of values. In this case, we have the sum of the frequencies, denoted by ∑fx, which is 340 and the total number of values, denoted by N, which is 20. So, the formula for the arithmetic mean is: Mean = (sum of values) / (total number of values) In this case, the "values" are the frequencies multiplied by their corresponding values, i.e. f1x1 + f2x2 + ... + fnxn. So, we can write: Mean = (f1x1 + f2x2 + ... + fnxn) / N But we already know that ∑fx = f1x1 + f2x2 + ... + fnxn = 340, so we can substitute this into the formula and get: Mean = ∑fx / N = 340 / 20 = 17 Therefore, the arithmetic mean is 17.