Mathematics
Grade6
Easy
Question
Is the median or mean the best measure of center for the following data set? Explain.
Data Set: 44, 43, 42, 40, 42, 45, 39, 38, 18.
- Median, because there is an outlier.
- Median, because the data is clustered together
- Mean, because there is an outlier.
- Mean, because the data is clustered together
Hint:
We first observe if there is any outlier(s) present in the given dataset. If yes, then we find the median as the best measure of center. And if no, then we calculate the mean since it is the best measure of center.
The correct answer is: Median, because there is an outlier.
Step 1 of 1:
Given the dataset, 44, 43, 42, 40, 42, 45, 39, 38, 18.
Observe that,
The data that is different from other numbers in the given set is 18.
So, there is an outlier present in the dataset and it is 18.
Hence, the median is the best measure of center, because the outlier does not affect the median.
Final Answer:
The right choice is-- c. Median, because there is an outlier.
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