The formula for calculating the mean is:
¯x = ∑fx / N
Where ¯x is the mean, ∑fx is the sum of the product of the frequencies and their corresponding values, and N is the total number of observations.
Given that ¯x = 6 and N = 6, we can solve for ∑fx as follows:
6 = ∑fx / 6
Multiplying both sides of the equation by 6, we get:
6 * 6 = ∑fx
36 = ∑fx
Therefore, the value of ∑fx is 36.