The measure of central tendency that David's mum can use to argue is the mean.
The mean of a data is the average of the data points in the data distribution. The mean is a measure of central tendency.
If David really spent enough time on homework, the average of the time he uses will give David's mum the mean time spent by David, which she can use for her argument.
Thus, David's mum can use the mean as a measure of central tendency.
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