21
83
41
It is the outlier.
50
6
83
41
It is the outlier.
50
6
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.
The sides of the box are the quartile values: the left is the first quartile and the right is the third quartile. The width, therefore is the interquartile range.
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.
The first quartile, or the lower quartile, is the value such that a quarter of the observations are smaller and three quarters are larger.The third quartile, or the upper quartile, is the value such that three quarters of the observations are smaller and a quarter are larger.
the IQR is the third quartile minus the first quartile.
One definition of outlier is any data point more than 1.5 interquartile ranges (IQRs) below the first quartile or above the third quartile. Note: The IQR definition given here is widely used but is not the last word in determining whether a given number is an outlier. IQR = 10.5 â?? 3.5 = 7, so 1.5. IQR = 10.5.
first quartile (Q1) : Total number of term(N)/4 = Nth term third quartile (Q3): 3 x (N)/4th term