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Q: In a box-and-whisker plot what fraction of the data is greater than the first quartile?
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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.


Can the median be greater than the 1st quartile in a data set with 1000 values?

The median must be at least as great as the first quartile in any data set. Normally it would be greater.The median must be at least as great as the first quartile in any data set. Normally it would be greater.The median must be at least as great as the first quartile in any data set. Normally it would be greater.The median must be at least as great as the first quartile in any data set. Normally it would be greater.


Is the median greater than the first quartile?

By definition yes. The median is the number which is exactly in the middle of a set of numbers. The first quartile is the point where 25% of the numbers are to the left, and 75% of the numbers are to the right.


What is the difference between the first and third quartile?

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.


What is the interquartile range of a number?

the IQR is the third quartile minus the first quartile.


What percent of the observations in a distribution lie between the first quartile and the third quartile?

50%


How do you calculate first and third quartile?

first quartile (Q1) : Total number of term(N)/4 = Nth term third quartile (Q3): 3 x (N)/4th term


What is the first quartile of these numbers?

214


What fraction is greater 2 4 or 2 3?

The numerators are the same. Since the first denominator is greater the first fraction is smaller.


What is the difference between a percentile and a quartile?

A quartile divides a grouping into four. The first quartile will have the first 25% of the group, the second quartile will have the second 25% of the group, the third quartile will have the third 25% of the group and the last quartile will have the last 25% of the group. For example if a classroom had 20 students who had all taken a test, you could line them up, the top 5 marks would be in the first quartile, the next five would be in the second quartile, the next 5 would be in the third quartile, and the 5 students with the lowest marks would be in the last quartile. Similarly, a percentile divides a grouping, except the group is divided into 100. Each 1% represent 1 percentile.


How do you find the 1st quartile and 3rd quartile of 36 and 43 and 45 and 52 and 55 and 61 and 70?

First Quartile = 43 Third Qaurtile = 61


What is the name for the difference between the first quartile and the third quartile in a five number summary?

75th percentile