coefficient of quartile deviation is = (q3-q1)/(q3+q1)
(q3-q1)/2
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 distance between 67.8 and 70.8 on a box plot is known as the interquartile range (IQR). It is calculated as the difference between the third quartile (Q3) and the first quartile (Q1), which represent the limits of the box in the box plot.
There is no agreed definition of outliers. However two common criteria to identify outliers are: Method I: If Q1 is the lower quartile and Q3 the upper quartile then any number smaller than Q1 - 1.5*(Q3 - Q1) or larger than Q3 + 1.5*(Q3 - Q1) is an outlier. By that criterion there is no outlier. Method II: Assume the numbers are normally distributed. then outliers are with absolute z-scores greater than 1.96. Again, there are no outliers.
A quartile divides a distribution into four equal parts, each containing 25% of the data. The first quartile (Q1) represents the value below which 25% of the data fall, the second quartile (Q2) is the median, and the third quartile (Q3) is the value below which 75% of the data fall.
first quartile (Q1) : Total number of term(N)/4 = Nth term third quartile (Q3): 3 x (N)/4th term
coefficient of quartile deviation: (Q3-Q1)/(Q3+Q1)
Step 1: Find the upper quartile, Q3.Step 2: Find the lower quartile: Q1.Step 3: Calculate IQR = Q3 - Q1.Step 1: Find the upper quartile, Q3.Step 2: Find the lower quartile: Q1.Step 3: Calculate IQR = Q3 - Q1.Step 1: Find the upper quartile, Q3.Step 2: Find the lower quartile: Q1.Step 3: Calculate IQR = Q3 - Q1.Step 1: Find the upper quartile, Q3.Step 2: Find the lower quartile: Q1.Step 3: Calculate IQR = Q3 - Q1.
coefficient of quartile deviation is = (q3-q1)/(q3+q1)
242 is the first quartile. 347 is the third quartile.
Q3-q1
6,6,9,5,8,9,6,7,8,8,6,5,5,6,8,5,7,7,8,6,5,9,10,14,5,8,5,8,10,10,7,7,7,8,6,6,7,5,7,8,8,5,6,6,7,7,7,6,6,9
(q3-q1)/2
(q3-q1)/2
There is no standard definition.If Q1 is the lower quartile and Q3 the upper quartile of a set of observations, then the inter quartile range (IQR) is Q3 - Q1.Outliers may be defined as values which are smaller than Q1 - k*(IQR) or larger than Q3 + k*IQR where k is some non-negative real number.
The interquartile range (IQR) is a measure of statistical dispersion, or spread, that provides information about the middle 50% of a dataset. It is calculated as the difference between the third quartile (Q3) and the first quartile (Q1) and is useful for identifying outliers and understanding the variability of the data.