None of them is "more accurate". They are answers to two different questions.
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Neither is more accurate. The mean is the best linear unbiased estimate but if the data are skewed, or there are outliers, then the median may be better.
Technically the mean is more accurate, but it is not always a true representation, when you have a number that is way out of proportion with the rest of the numbers. That is when the median is more useful. See the related question below.
When the distribution has outliers. They will skew the mean but will not affect the median.
The mean is 1226.75. The median is 508. There is no mode as no number occurs more than any other.
One disadvantage of using the median is that it may not accurately represent the entire dataset if there are extreme outliers present, as the median is not influenced by the magnitude of these outliers. Additionally, the median may not be as intuitive to interpret as the mean for some individuals, as it does not provide a direct measure of the total value of the dataset. Finally, calculating the median can be more computationally intensive compared to other measures of central tendency, especially with large datasets.
the intersection of less and more than ogive gives us the median of the following data.. but the median is not accurate as we draw the free hand cumulative graph..