Median = 50th percentile or 2nd quartile or 5th decile.
The median
A quartile is a given section in a range of data. To find the quartile, you must first find the median. Then find the "median of the median", using these to separate your data into sections, giving you a total of four sections of data.
Consider the data: 1, 2, 2, 3, 4, 4, 5, 7, 11, 13 , 19 (arranged in ascending order) Minimum: 1 Maximum: 19 Range = Maximum - Minimum = 19 - 1 = 18 Median = 4 (the middle value) 1st Quartile/Lower Quartile = 2 (the middle/median of the data below the median which is 4) 3rd Quartile/Upper Quartile = 11 (the middle/median of the data above the median which is 4) InterQuartile Range (IQR) = 3rd Quartile - 1st Quartile = 11 - 2 = 9
Like the standard deviation, the interquartile range (IQR) is a descriptive statistic used to summarize the extent of the spread of your data. The IQR is the distance between the 1st quartile (25th percentile) and 3rd quartile (75th percentile). Q3 - Q1 = IQR To find these numbers you must divide your data set in half, and find the median of each half and that will be your Q1 and Q3. If you have an odd number, then EXCLUDE the median of the entire set, so as follows: For example, take the following dataset: 3 5 7 8 9 21 40 90 120 We exclude the 9 as the median of the whole set and the 1st quartile is 6 (5+7 divided by 2) and the 3rd quartile is 65 (40+90 divided by 2), making the IQR = 65-6=59. OR If you have this set: 3 5 7 8 40 90 120 We exclude the 8 as the median of the whole set and the 1st quartile is 5 and the 3rd quartile is 90. (90 - 5 = 85.)
50th percentile or median
There is no other name for the 25th quartile. The 50th is known as the median though but the 75th quartile also doesn't have another name.
The second quartile.
Roughly speaking, finding the third quartile is similar to finding the median. First, use the median to split the data set into two equal halves. Then the third quartile is the median of the upper half. Similarly, the first quartile is the median of the lower half.
The median
It shows the minimum, lower quartile, median, upper quartile and maximum of a set of observations. It may show outliers separately.It shows the minimum, lower quartile, median, upper quartile and maximum of a set of observations. It may show outliers separately.It shows the minimum, lower quartile, median, upper quartile and maximum of a set of observations. It may show outliers separately.It shows the minimum, lower quartile, median, upper quartile and maximum of a set of observations. It may show outliers separately.
A quartile is a given section in a range of data. To find the quartile, you must first find the median. Then find the "median of the median", using these to separate your data into sections, giving you a total of four sections of data.
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,
In my opinion you do...
Consider the data: 1, 2, 2, 3, 4, 4, 5, 7, 11, 13 , 19 (arranged in ascending order) Minimum: 1 Maximum: 19 Range = Maximum - Minimum = 19 - 1 = 18 Median = 4 (the middle value) 1st Quartile/Lower Quartile = 2 (the middle/median of the data below the median which is 4) 3rd Quartile/Upper Quartile = 11 (the middle/median of the data above the median which is 4) InterQuartile Range (IQR) = 3rd Quartile - 1st Quartile = 11 - 2 = 9
50%. The second quartile is the median.
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.
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.