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Is the second quartile more or less than the median?
The second quartile, also known as the median, is equal to the median of a dataset. It represents the value that divides the data into two equal halves, meaning that 50% of the data points fall below it and 50% fall above it. Therefore, the second quartile is neither more nor less than the median; they are the same.
What are characteristics of lower quartile?
25% of the observed values are smaller than the lower quartile.
Is the third quartile greater than the first quartile with a data set consisting of 1000 values that are all different?
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.
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.
What is data which is more than 1.5 times the inter quartile range away from the quartiles?
These are sometimes considered outliers but there is no formal definition for them.
Is the second quartile more or less than the median?
The second quartile, also known as the median, is equal to the median of a dataset. It represents the value that divides the data into two equal halves, meaning that 50% of the data points fall below it and 50% fall above it. Therefore, the second quartile is neither more nor less than the median; they are the same.
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 first quartile of this data set 6 47 49 15 43 41 7 36?
The first quartile is the value such that a quarter of the data are smaller than that value and three quarters are larger. Since there are 8 observations, the quartile will be between the second and the third smallest values. Therefore, Q1 = (7+15)/2 = 11
What is mean deviation and why is quartile deviation better than mean deviation?
What is mean deviation and why is quartile deviation better than mean deviation?
Is the third quartile greater than the first quartile with a data set consisting of 1000 values that are all different?
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.
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 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.
What is data which is more than 1.5 times the inter quartile range away from the quartiles?
These are sometimes considered outliers but there is no formal definition for them.
How do you figure out the IQR in maths?
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.
What is the difference between quartile and median?
The median is the middle value in a dataset when it is sorted in ascending order. It divides the data into two equal parts. Quartiles, on the other hand, divide a dataset into four equal parts. The first quartile (Q1) is the median of the lower half of the data, the second quartile (Q2) is the median of the entire dataset (same as the median), and the third quartile (Q3) is the median of the upper half of the data.
What does it mean when the left whisker is longer than the right whisker in box plots?
It means that the smaller value (in the lowest quartile) are more spread out than larger values.
