The median is the middle value in a dataset when the data is arranged in ascending or descending order. If there is an even number of data points, the median is the average of the two middle values. The median is less sensitive to extreme values (outliers) than the mean and is often used to describe skewed distributions.
Which measure of central tendency is less sensitive to outliers?
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Select an option above to see an explanation here.
A) The mean is more sensitive to outliers. B) The median is less sensitive to outliers. C) The mode is not affected by outliers but does not describe the center of the data. D) The range is a measure of dispersion, not a central tendency.
If a dataset has an even number of data points, how is the median calculated?
A) This is the median for an odd number of data points. B) The median for an even number of data points is the average of the two middle values. C) This is the mode, not the median. D) This is the mean, not the median.
What is the median of the following dataset: 3, 7, 9, 12, 15?
A) 7 is not the middle value. B) 8 is not in the dataset. C) 9 is the middle value when the data is arranged in ascending order. D) 10 is not in the dataset.
A teacher wants to determine the central tendency of her student's test scores. She finds that the mean score is 75, but one student scored 100, which is significantly higher than the rest of the class. To get a more accurate representation of the central tendency, she calculates the median score of 72, giving her a better understanding of the typical student's performance.
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Example Series 65 Example Practice Question
In the middle, you will find, the median's value well-defined. Not swayed by outliers' sway, it shows the center, come what may.
Median = Middle value of a dataset when arranged in ascending order
Consider the dataset: 3, 7, 5, 9, 1 1. Arrange the dataset in ascending order: 1, 3, 5, 7, 9 2. Identify the middle value: In this case, the middle value is 5 (since there are an odd number of values in the dataset). Therefore, the median is 5.