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Why is the interquartile range a more appropriate measure for spread than the range?

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2010-09-27 17:17:39
2010-09-27 17:17:39

The interquartile range is less likely to be distorted by outliers (extreme values).

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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



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.


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.


It gives a better picture of data collected because the data is not so spread out.



The interquartile range of a set of data is the difference between the upper quartile and lower quartile.


If presents you with the upper and lower quartile range, although you have to do calculations in order to find the interquartile range, so no, it does not,



how do you find the interquartile range of this data


Median is a good example of a resistant statistic. It "resists" the pull of outliers. The mean, on the other hand, can change drastically in the presence of an outlier.The interquartile range is a resistant measure of spread.


Range = maximum - minimum Interquartile range = Value of 75th percentile - value of 25th percentile. The 75th percentile is the value such that 25% of the observations are bigger and 75% are smaller.


Some measures:Range,Interquartile range,Interpercentile ranges,Mean absolute deviation,Variance,Standard deviation.Some measures:Range,Interquartile range,Interpercentile ranges,Mean absolute deviation,Variance,Standard deviation.Some measures:Range,Interquartile range,Interpercentile ranges,Mean absolute deviation,Variance,Standard deviation.Some measures:Range,Interquartile range,Interpercentile ranges,Mean absolute deviation,Variance,Standard deviation.


If you are talking about statisitics, in a box and whisker graph it is the interquartile range.



An interquartile range is a measurement of dispersion about the mean. The lower the IQR, the more the data is bunched up around the mean. It's calculated by subtracting Q1 from Q3.



It gives you the interquartile range



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