answersLogoWhite

0


Best Answer

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.

User Avatar

Wiki User

8y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: Can the first quartile equal the third quartile?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

How do you solve a third quartile?

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.


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.


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

50%


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

75th percentile


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.


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

interquartile range or IQR


The first quartile of a data set is 32 and the third quartile is 52. Which of these values in the data set is an outlier?

83


The first quartile of a data set is 72 and the third quartile is 92. Which of these values in the data set is an outlier?

41


The first quartile of a data set is 52 and the third quartile is 72. Which of these values in the data set is an outlier?

21


Show you an example of a box and whisker plot?

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