Understanding Measures of Central Tendency | Median, Mode, and Mean

The median of a sample will always equal the: A) modeB) meanC) 50th percentileD) All of these are correct

D) All of these are correct

D) All of these are correct.

The median of a sample is defined as the middle value when the data points are arranged in ascending or descending order. It represents the middle value of the dataset, separating it into two equal halves.

The mode of a sample refers to the value(s) that appear most frequently in the dataset. It is possible for the mode to also be the median if there is only one mode and the dataset is symmetrically distributed.

The mean of a sample, also known as the average, is calculated by summing up all the values in the dataset and dividing by the total number of values. The mean may or may not be equal to the median, depending on the distribution of the data.

Finally, the 50th percentile is another term for the median. It represents the value below which 50% of the dataset falls.

Since the mode can equal the median, and the mean can also equal the median, it follows that the correct answer is D) All of these are correct.

More Answers:
Inferential Statistics | Making Predictions and Drawing Conclusions through Sample Analysis
Understanding Measures of Dispersion | Range, Standard Deviation, and Interquartile Range
Understanding Skewness in Probability Distributions | When the Coefficient of Skewness is Zero

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