The median of a sample will always equal the. a) mode. b) mean. c) 50th percentile. d) all of the above answers are correct
The correct answer is c) 50th percentile
The correct answer is c) 50th percentile.
The median of a sample is the value that separates the lower half of the data from the upper half. It is the middle value when the data is arranged in numerical order.
On the other hand, the mode of a sample is the value(s) that occur(s) most frequently in the data. It is possible for a sample to have more than one mode or not have a mode at all.
The mean of a sample is the average, obtained by adding up all the values in the sample and dividing by the number of values.
While the median and mean are measures of central tendency, they represent different aspects of the data. The median gives us an idea of the “typical” value in the middle of the data, while the mean provides an overall average.
Therefore, the statement “all of the above answers are correct” is incorrect because the median of a sample does not always equal the mode or the mean. The only correct answer is c) 50th percentile, as it correctly describes the meaning and calculation of the median.
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