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