Order the observations.
Find the values of the observation that is a quarter of the way and three quarters of the way along the list of these ordered values. If necessary, interpolate between the values.
The difference between the two values is the inter-quartile range and half that is the semi- IQR, as required.
find the domain and range of the function f(x)=x/2-3x
You arrange the data set in ascending order. You then find the observation such that a quarter of the observations are smaller than it and three quarters are bigger. That value is the lower quartile. Next find the observation such that three quarters of the observations are smaller than it and a quarter are bigger. That value is the upper quartile. Upper quartile minus lower quartile = IQR.
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Subtract the lower quartile from the upper quartile.
By definition a quarter of the observations are below the lower quartile and a quarter are above the upper quartile. In all, therefore, half the observations lie outside the interquartile range. Many of these will be more than the inter-quartile range (IQR) away from the median (or mean) and they cannot all be outliers. So you take a larger multiple (1.5 times) of the interquartile range as the boudary for outliers.
The range is the highest value minus the lowest value.
Iqr stands for inter quartile range and it is used to find the middle of the quartiles in a set of data. To find this, you find the lower quartile range and the upper quartile range, and divide them both together.
In a normal case, you take the highest number and subtract it by the lowest answer
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find the domain and range of the function f(x)=x/2-3x
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You arrange the data set in ascending order. You then find the observation such that a quarter of the observations are smaller than it and three quarters are bigger. That value is the lower quartile. Next find the observation such that three quarters of the observations are smaller than it and a quarter are bigger. That value is the upper quartile. Upper quartile minus lower quartile = IQR.
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