# Is there a way to calculate or estimate the trimmed mean given only summary statistics?

Lets say we have a set of arbitrary numbers, whose values range from $1$ to $100$

$$x = \{x_1,x_2,x_3,x_4,x_5,...,x_n\}$$

Given only the common summary statistics of $x$ (mean, standard deviation, variance), but not to $x$ itself.

Would it be possible to calculate or even estimate the trimmed mean (the mean excluding the lower and upper 10% of outliers) to a reasonable extent?