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yukcream
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Will the median and mode change if the mean and strandard deviation change?
yukcream said:Will the median and mode change if the mean and strandard deviation change?
Yes, the mode and median can change if there are outliers in the data. Outliers are data points that are significantly different from the rest of the data. They can shift the overall distribution of the data and affect the mode and median.
Yes, it is possible for the mode and median to be equal. This occurs when the data is symmetrically distributed, with a single peak and an equal number of data points on both sides of the peak.
The presence of extreme values can cause the mode and median to be different from each other. Extreme values can skew the distribution of the data, making the mode different from the most frequently occurring value and pulling the median towards the extreme value.
Yes, the mode and median can change if the data is grouped into categories. When data is grouped, the mode becomes the category with the highest frequency, and the median is calculated differently to account for the grouping. This can result in different values for the mode and median.
The mode and median can change if new data points are added to the existing set. If the new data points are similar to the existing data, the mode and median may not change significantly. However, if the new data points are significantly different from the existing data, they can affect the mode and median, potentially causing them to change.