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No. Not if 25% of the data set are all at the maximum value.
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 a visual Representation of the five number summary minimum first quartile medium third quartile and maximum
If a set of data are ordered by size, then the lower quartile is a value such that a quarter of the data are smaller than it. The upper quartile is a value such that a quarter of the data are larger than it. Interquartile means between the quartiles.
A number does not have a quartile, a set of data does. The lower quartile of a set of data set is a value, in the data set, such that a quarter of the date set are smaller and three quarters are larger. The upper quartile is defined similarly. The middle quartile, better known as the median, divides the data set in two.
50
6
It is the outlier.
No. Not if 25% of the data set are all at the maximum value.
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 a visual Representation of the five number summary minimum first quartile medium third quartile and maximum
83
41
21
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If a set of data are ordered by size, then the lower quartile is a value such that a quarter of the data are smaller than it. The upper quartile is a value such that a quarter of the data are larger than it. Interquartile means between the quartiles.
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