Fifteen people reported how many board games they own. From this data and sampling distribution, find the sampling distribution of the mean and calculate the standard deviation of the sampling distribution.

Population: {10, 12, 12, 13, 14, 18, 18, 19, 19, 20, 22, 23, 23, 23, 23}

Samples of size 3: {12, 18, 23}, {10, 22, 23}, {14, 23, 23}, {13, 18, 19}

Sampling distribution of the mean:

Standard deviation of the sampling distribution: