To investigate the sampling distribution of the sample mid range a simulation is performed in which 100 random samples of size N equals 40 were selected from the population of house values for each sample the sample mid range was calculated and recorded on the following dot plot. The meaning of the distribution of sample mid ranges is $617,000 with the standard deviation of $136,000. Based on the results of the simulation explain why the sample mean might be preferred to the sample mid range as an estimator of the population mean