The median is not always used because it may not accurately represent the data distribution in certain contexts. For example, in skewed distributions, the median can provide a better measure of central tendency than the mean, but in normally distributed data, the mean may be more informative. Additionally, in some analyses, the mean can be more sensitive to changes in data, making it more useful for specific statistical tests. Ultimately, the choice between median and mean depends on the nature of the data and the analysis goals.
There's is always going to be a median. Never is there not going to be a median.
the median and mode are but the mean is not
when is it appropriate to use arithmetic mean as opposed to median
No, the median is not always one of the data values. In a dataset with an odd number of values, the median is the middle number, which is a data value. However, in a dataset with an even number of values, the median is the average of the two middle numbers, which may not be a value in the dataset itself.
No, the mean is not always less than the median. The relationship between the mean and the median depends on the distribution of the data. In a skewed distribution, the mean can be less than or greater than the median; for example, in a left-skewed distribution, the mean is typically less than the median, while in a right-skewed distribution, the mean is usually greater than the median. In symmetrical distributions, like the normal distribution, the mean and median are equal.
Yes, the median is always a number. For qualitative data, use the mode for a measure of center.
There's is always going to be a median. Never is there not going to be a median.
the median and mode are but the mean is not
No, not always. Median is the number that's in the middle of a group of numerical data. Mean is just the average of a set of numbers, which isn't always in the middle.
The median is the 50% percentile.
yes
Yes.
No, the median voter is not always the voter with median income. The median voter theorem suggests that in a majority-rule voting system, the preferences of the median voter will dominate, but this median voter is determined by political preferences and positions rather than income alone. Factors such as ideology, age, education, and other demographic variables can influence who the median voter is, meaning that the income distribution does not directly correlate with political preferences.
when is it appropriate to use arithmetic mean as opposed to median
No, the median is not always one of the data values. In a dataset with an odd number of values, the median is the middle number, which is a data value. However, in a dataset with an even number of values, the median is the average of the two middle numbers, which may not be a value in the dataset itself.
FALSE
FALSE