Answer :
Any of the three measures - median, mean, or mode - can be used to represent the data depending on the context.
What exactly is a median?
In statistics, the median is a measure of central tendency that represents the middle value of a data set. It is the value separating the higher half from the lower half of the data.
Now,
The best measure of central tendency to represent this data set depends on the context and what type of information is needed.
If we are interested in finding the most typical or common score in the data set, the mode can be used. In this case, the mode is 89 since it appears most frequently in the list.
If we are interested in finding the middle score in the data set, the median can be used. In this case, the median is also 89 since it is the middle score when the data set is arranged in order.
If we are interested in finding a typical score that represents the overall performance, the mean can be used. In this case, the mean is:
(86 + 89 + 89 + 89 + 89 + 90 + 91) / 7 = 88.57
Therefore, option B is the best answer, as any of the three measures - median, mean, or mode - can be used to represent the data depending on the context.
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