Statistics
Calculus

# Can the first quartile equal the third quartile?

###### Wiki User

yes, if all the data is the same number; when the range is zero.

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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.

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## Related Questions

Roughly speaking, finding the third quartile is similar to finding the median. First, use the median to split the data set into two equal halves. Then the third quartile is the median of the upper half. Similarly, the first quartile is the median of the lower half.

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.

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

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.

range: 32; first quartile 17; third quartile: 34

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.

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.

If this is the only information you have, the answer would be somewhere around 125. Usually, you would find the third quartile by first finding the median. Then find the median of all of the numbers between the median and the largest number, which is the third quartile.

What is a visual Representation of the five number summary minimum first quartile medium third quartile and maximum

It is the upper quartile minus the lower quartile.

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

Graphing to determine difference between third and first quartile as well as to find the median between the two. Also known as semi-interquartile range.

You use the QUARTILE function. You specify the range of cells and which quartile you want. For the first quartile, you use 1. So if your range was the cells A2 to A20, you would enter the function like this: =QUARTILE(A2:A20,1)

The website known as businessdictionary, the website known as thefreedictionary and the merriam-webster website all offer a definition of the word quartile. Which is an equal four way division of an object or time period for example the first quartile of the year is January, February and March.

quartile- one of the values of a variable that divides the distribution of the variable into four groups having equal frequencies.

in a set as such {2,3,4,5,6,7,8,}, 5 would be the median, 7 would be the upper quartile, and 3 would be the lower quartile. The lower quartile divides the lower half of a set of data into two equal parts

A measure that is not influenced by outliers. Median and IQR are examples of resistant measures. Median is the middle of the ordered list. IQR, which stands for inter quartile range, is the difference between the first quartile and third quartiles.

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,

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.

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