Median
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.
It is an overview of the distribution of a data set. The values that are plotted are:the minimum,the lower quartile (a quarter of the data points are smaller),the median (half the data points are smaller),the upper quartile (a quarter of the data points are larger),the maximum.
If your upper quartile (Q3) is the same as your median (Q2), it indicates that at least half of your data points are concentrated at or below the median value, resulting in a distribution that is skewed towards the lower values. This scenario suggests that the data set may have a large number of lower values, with a relatively small range of higher values, leading to a flat or plateau-like appearance in the upper half of the data distribution. Such a distribution can impact statistical analyses and interpretations, particularly in understanding variability and central tendencies.
median
It is the upper quartile.
the upper quartile is the median of the upper half of a set of data. ;p
It is the lower quartile.
The median, by definition, tells you the "half way point" of your data. Exactly half of the observations in the dataset will be less than the median and half will be greater than the median.
The median is the midpoint of the data set. So half the observations are greater than the median and half are smaller.
Median
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.
It is an overview of the distribution of a data set. The values that are plotted are:the minimum,the lower quartile (a quarter of the data points are smaller),the median (half the data points are smaller),the upper quartile (a quarter of the data points are larger),the maximum.
If your upper quartile (Q3) is the same as your median (Q2), it indicates that at least half of your data points are concentrated at or below the median value, resulting in a distribution that is skewed towards the lower values. This scenario suggests that the data set may have a large number of lower values, with a relatively small range of higher values, leading to a flat or plateau-like appearance in the upper half of the data distribution. Such a distribution can impact statistical analyses and interpretations, particularly in understanding variability and central tendencies.
median
The median of the lower half of a set of data is called the first quartile, often denoted as Q1. It represents the value below which 25% of the data lies and effectively divides the lowest 50% of the dataset into two equal parts. This measure is useful in understanding the distribution and spread of the lower portion of the data.
To find the inner quartiles (Q1 and Q3), first arrange your data in ascending order. Q1 is the median of the lower half of the data, and Q3 is the median of the upper half. The inner quartiles divide the data into four equal parts. The outer quartiles also known as the minimum and maximum values, are the smallest and largest values in the data set.