Create your own data and show the manual computations of Q1, Q2, and Q3 using Tukey's method.
In addition, which measure of center (mean or median) is appropriate for:
Prices of women's T-shirts at Banana Republic,
Heights of male students at UNG. Please make sure to justify why you chose the measure of center in the above two cases.

Step 1 ：Create a list of numbers for the data set. For example, data = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]

Step 2 ：Compute Q1, Q2, and Q3 using Tukey's method. Q1 is the median of the first half of the data, Q2 is the median of the whole data, and Q3 is the median of the second half of the data. For the given data set, Q1 = 3.0, Q2 = 5.5, Q3 = 8.0

Step 3 ：\(\boxed{3.0}\), \(\boxed{5.5}\), and \(\boxed{8.0}\) are the quartiles Q1, Q2, and Q3 of the data set [1, 2, 3, 4, 5, 6, 7, 8, 9, 10] using Tukey's method

Step 4 ：For the prices of women's T-shirts at Banana Republic, decide which measure of center (mean or median) is appropriate. The mean is the average of all the data points and is affected by outliers. The median is the middle value of the data set and is not affected by outliers. Because prices can vary greatly and there may be outliers (such as sales or high-end items) that can skew the mean, the median is the appropriate measure of center

Step 5 ：The appropriate measure of center for the prices of women's T-shirts at Banana Republic is the \(\boxed{median}\)

Step 6 ：For the heights of male students at UNG, decide which measure of center (mean or median) is appropriate. Because heights follow a normal distribution and there are unlikely to be outliers, the mean is the appropriate measure of center

Step 7 ：The appropriate measure of center for the heights of male students at UNG is the \(\boxed{mean}\)