Mathematics
Grade6
Easy

Question

Identify the measure of central tendency (mean, median or mode) that would be best for the following set of data.
0, 89, 92, 97, 99, 100

  1. Mode, because it is the one that shows up the most.
  2. Median, because there is an outlier. The outlier could be incorrect and would influence the mean too much.
  3. Mean, because there is not an outlier. You should always use the mean.
  4. There is not a best measure of central tendency for this data.

hintHint:

Note that if there is an outlier present in the dataset, then for the measure of central tendency, the median is always a better choice than the mean or mode.

The correct answer is: Median, because there is an outlier. The outlier could be incorrect and would influence the mean too much.


    Step 1 of 1:
    Observe that, for the given data points, 0, 89, 92, 97, 99, 100; 0 is far away from the others.
    So, 0 is an outlier in this case.
    If there is the presence of an outlier then it will affect the mean of the dataset and we will not get a good measure of the center of the dataset. So, we opt out of the mean.
    Hence, the median is a better choice.
    Final Answer:
    The right choice is-- a. Median, because there is an outlier. The outlier could be incorrect and would influence the mean too much.

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