Yea
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The mode, median, and range of a single data point such as 65 are all the data point itself, 65 in this instance.
Yes. They must have a range and median. They may or may not have a mode.
the median and mode are but the mean is not
28, 30, 31, 31, 32 Mean: 30.4 Median: 31 Mode: 31 Range: 4
The mean, the median, the mode and the upper and lower limits of the range would each be reduced by the amount subtracted.