Skewed data: choosing the average or median

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Goal:

The data below shows (in order) the date, median, average, high and low of a survey taken on each of the dates. Out of the data set, the average or median of each row will be used for future analysis.

Date        Med (K)     Avg (K)     High (K)    Low (K)
8/14/2003   73          74          81          65
8/21/2003   105         109         90          135
8/28/2003   70          70          80          58
09/04/2003  73          72          82          59
09/11/2003  91          99          78          130
9/18/2003   95          95          109         78

Q1. Based off of the columns of data available, is there enough data to determine whether or not each row is skewed or symmetrical, and to thus base on whether to take the average or median for that row?

My idea was that maybe this could be achieved by observing where the average and median fall between high and low.

Q2. For rows where the median and average are close together, for example, row 1 where the median = 73K and average = 74K, which of these two values could be chosen for further calculations?

Being new to statistics, the language or understanding of methods in this question may be inaccurate, so apologies if this is the case.