In a perfectly symmetrical distribution, the mean, median, and mode are all equal. This characteristic features prominently in distributions such as the normal distribution. Given that the mean (μ) is 30 in this case, the mode of the distribution will also be 30.
To elaborate, the mode of a distribution is the value that appears most frequently, and in a symmetrical distribution, this value aligns perfectly with the center point (the mean). Thus, if your symmetrical distribution is characterized by a mean of 30, then the mode must undoubtedly be 30 as well.