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Is the third quartile greater than the first quartile with a data set consisting of 1000 values that are all different?
Wiki User
∙ 12y ago
The value of any element in the third quartile will be greater than the value of any element in the first quartile. But both quartiles will have exactly the same number of elements in them: 250.
Wiki User
∙ 12y ago
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What is a quartile?
values that divide a list of numbers into quaters is called a quartile.
What are characteristics of lower quartile?
25% of the observed values are smaller than the lower quartile.
What is the measure of quartile deviation?
A quartile deviation from some specified value, is the value or values such that a quarter of the observed values fall between these values and the specified value. Usually, but not always, the specified value is the median - the value such that have the observed values are below (and above) it. In that case, one quartile values will have a quarter of the values below it and the other will have a quarter of the values above it. The quartile deviations will be the differences between median and the two quartiles just calculated.
What is quartiles in math?
The quartiles for a set of data are three values - the lower quartile, the median and the upper quartile - such that they divide the data set into four parts with an [approximately] equal number of observations in each. Thus:a quarter of all the observations are smaller than the lower quartile,a quarter of all the observations are between the lower quartile and the median,a quarter of all the observations are between the median and the upper quartile, anda quarter of all the observations are greater than the upper quartile.The quartiles for a set of data are three values - the lower quartile, the median and the upper quartile - such that they divide the data set into four parts with an [approximately] equal number of observations in each. Thus:a quarter of all the observations are smaller than the lower quartile,a quarter of all the observations are between the lower quartile and the median,a quarter of all the observations are between the median and the upper quartile, anda quarter of all the observations are greater than the upper quartile.The quartiles for a set of data are three values - the lower quartile, the median and the upper quartile - such that they divide the data set into four parts with an [approximately] equal number of observations in each. Thus:a quarter of all the observations are smaller than the lower quartile,a quarter of all the observations are between the lower quartile and the median,a quarter of all the observations are between the median and the upper quartile, anda quarter of all the observations are greater than the upper quartile.The quartiles for a set of data are three values - the lower quartile, the median and the upper quartile - such that they divide the data set into four parts with an [approximately] equal number of observations in each. Thus:a quarter of all the observations are smaller than the lower quartile,a quarter of all the observations are between the lower quartile and the median,a quarter of all the observations are between the median and the upper quartile, anda quarter of all the observations are greater than the upper quartile.
How is interquartile range calculated?
Find the difference between the values for quartile 3 and quartile 1.
Why is the range always greater than the IQR?
Because the IQR excludes values which are lower than the lower quartile as well as the values in the upper quartile.
What is a quartile?
values that divide a list of numbers into quaters is called a quartile.
What does quartile in math?
Quartiles in statistics are three values such that the lower quartile, second quartile (better known as the median) and upper quartile divide up the set of observations into four subsets with equal numbers in each subset.a quarter of the observations are smaller than the lower quartile,a quarter of the observations are between the lower quartile and the median,a quarter of the observations are between the median and the upper quartile, anda quarter of the observations are greater than the upper quartile,
What are characteristics of lower quartile?
25% of the observed values are smaller than the lower quartile.
What is the measure of quartile deviation?
A quartile deviation from some specified value, is the value or values such that a quarter of the observed values fall between these values and the specified value. Usually, but not always, the specified value is the median - the value such that have the observed values are below (and above) it. In that case, one quartile values will have a quarter of the values below it and the other will have a quarter of the values above it. The quartile deviations will be the differences between median and the two quartiles just calculated.
Can the first quartile equal the third quartile?
yes, if all the data is the same number; when the range is zero. * * * * * That is not true. You need 25% of the values to be small, then 50% identical values, followed by 25% large values. Then the lower (first) quartile will be the same as the upper (third) quartile. The inter-quartile range (IQR) will be zero but the overall range can be as large as you like.
What is quartiles in math?
The quartiles for a set of data are three values - the lower quartile, the median and the upper quartile - such that they divide the data set into four parts with an [approximately] equal number of observations in each. Thus:a quarter of all the observations are smaller than the lower quartile,a quarter of all the observations are between the lower quartile and the median,a quarter of all the observations are between the median and the upper quartile, anda quarter of all the observations are greater than the upper quartile.The quartiles for a set of data are three values - the lower quartile, the median and the upper quartile - such that they divide the data set into four parts with an [approximately] equal number of observations in each. Thus:a quarter of all the observations are smaller than the lower quartile,a quarter of all the observations are between the lower quartile and the median,a quarter of all the observations are between the median and the upper quartile, anda quarter of all the observations are greater than the upper quartile.The quartiles for a set of data are three values - the lower quartile, the median and the upper quartile - such that they divide the data set into four parts with an [approximately] equal number of observations in each. Thus:a quarter of all the observations are smaller than the lower quartile,a quarter of all the observations are between the lower quartile and the median,a quarter of all the observations are between the median and the upper quartile, anda quarter of all the observations are greater than the upper quartile.The quartiles for a set of data are three values - the lower quartile, the median and the upper quartile - such that they divide the data set into four parts with an [approximately] equal number of observations in each. Thus:a quarter of all the observations are smaller than the lower quartile,a quarter of all the observations are between the lower quartile and the median,a quarter of all the observations are between the median and the upper quartile, anda quarter of all the observations are greater than the upper quartile.
How is the interquartile range calculated?
Find the difference between the values for quartile 3 and quartile 1.
How is interquartile range calculated?
Find the difference between the values for quartile 3 and quartile 1.
Can the median be greater than the 1st quartile in a data set with 1000 values?
The median must be at least as great as the first quartile in any data set. Normally it would be greater.The median must be at least as great as the first quartile in any data set. Normally it would be greater.The median must be at least as great as the first quartile in any data set. Normally it would be greater.The median must be at least as great as the first quartile in any data set. Normally it would be greater.
Is the range zero in a data set consisting of 1000 values that are all different?
No. The range is the maximum value less the minimum value. If all the values are different, the maximum must be different from the minimum. Consequently, the max minus min must be greater than zero.
Formula calculating lower quartile?
lower quartile = 1/4(n+1) upper quartile = 3/4(n+1) where n is the number of the values. Obviously the values have to be ordered from the lower to the higher: the number you'll get is the position in this order. Let's say you get 4 for your lower quartile, it means that the 4th value is your lower quartile.
