The median.
It describes the "middle" of the data set.It describes the "middle" of the data set.It describes the "middle" of the data set.It describes the "middle" of the data set.
The mean.
Center
Range is a measure of variation; mode is a measure of center. Range will tell you how much the data vary, mode does not tell you how much the data vary.
which measure best describes the data set
The measure that describes the center of data is known as the "central tendency." The three most common measures of central tendency are the mean, median, and mode. The mean is the average of all data points, the median is the middle value when data is ordered, and the mode is the most frequently occurring value. Each measure provides different insights into the data's distribution and can be used depending on the context.
The mean may be a good measure but not if the data distribution is very skewed.
The median.
When a data set has an outlier, the median is often the best measure of center to describe the data. This is because the median is resistant to extreme values and provides a better representation of the central tendency in the presence of outliers. In contrast, the mean can be significantly skewed by outliers, making it less reliable in such cases.
It describes the "middle" of the data set.It describes the "middle" of the data set.It describes the "middle" of the data set.It describes the "middle" of the data set.
mean does not mean the center of the data
mean does not mean the center of the data
When a data set has an outlier, the best measure of center to use is the median, as it is less affected by extreme values compared to the mean. For measure of variation (spread), the interquartile range (IQR) is preferable, since it focuses on the middle 50% of the data and is also resistant to outliers. Together, these measures provide a more accurate representation of the data's central tendency and variability.
Data.
The answer depends on the type of data. The mean or median are useless if the data are qualitative (categoric): only the mode is any use. The median is better than the mean is the data are very skewed.
the data value that is much higher or lower than the other data given is called an outlier