Respuesta :
Answer:
Option D) is true about median
Step-by-step explanation:
We are given the following information in the question:
Median:
- The median is the middle number or the center of the data when the data is sorted in either ascending or descending order.
- The median is not affected by the presence of any outliers since the data is sorted.
[tex]Median:\\\text{If n is odd, then}\\\\Median = \displaystyle\frac{n+1}{2}th ~term \\\\\text{If n is even, then}\\\\Median = \displaystyle\frac{\frac{n}{2}th~term + (\frac{n}{2}+1)th~term}{2}[/tex]
Option A) Medians are not affected by the outliers
Option B) Medians can only be calculated when the data is sorted.
Option C) This is a false statement about the medians.
Option D) True
When there are even number of observations, the median is the mean of the two middle numbers.
the median is the mean of the two middle numbers.
The following information should be considered;
- The median refers to the central point of any data set, that could be in in ascending or descending order.
- Since it only takes into account the central value, unlike the mean, it is not affected by outliers.
- Therefore, the last option is correct.
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