the interquartile range is not sensitive to outliers.
The semi interquartile range is a measure for spread or dispersion. To find it you have to subtract the first quartile from Q3 and divide that by 2, (Q3 - Q1)/2
The standard deviation is the value most used. Others are variance, interquartile range, or range.
Both are measures of spread or dispersion.
The interquartile range is well known as a measure of statistical dispersion. It is equal to difference between upper and lower quartiles. The quartiles is a type of quantile.
It is important in any statistic measure
the range influences the extreme
what is the interquartile range of 16,17,19,22,23,25,27,36,38,40,40,45,46
The interquartile range is the upper quartile (75th percentile) minus (-) the lower percentile (75th percentile). The interquartile range uses 50% of the data. It is a measure of the "central tendency" just like the standard deviation. A small interquartile range means that most of the values lie close to each other.
The answer depends on the purpose. The interquartile range and the median absolute deviation are both measures of spread. The IQR is quick and easy to find whereas the MAD is not.
It is a measure of the spread of a set of observations. It is easy to calculate and is not distorted by extreme values (or mistakes). On the other hand it does not use all of the information contained in the data set.
It gives a better picture of data collected because the data is not so spread out.
In Statistics, the measure of spread tells us how much adata sample is spread out or scattered. We can use the range and the interquartile range (IQR) to measure the spread of a sample. Measures of spread together with measures of location (or central tendency) are important for identifying key features of a sample to better understand the population from which the sample comes from. The range is the difference between a high number and the low number in the samples presented. It represents how spread out or scattered a set of data. It is also known as measures of dispersion or measures of spread.