Question

What is the third Quartile Of the following distribution?. 10, 25, 18, 31, 16, 27, 5, 13, 32, 24, 15, 21 , 18 , 18, 24, 4, 8, 11, 11, 23

Answer 1

The third Quartile of the given distribution is 24. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

Answer 2

Answer: The third quartile of the distribution is 23.

Step-by-step explanation:

First we write the data in ascending order:

4,5,8,10, 11,11, 13,15,16, 18, 18, 18, 21, 23, 24, 24, 25, 27, 31, 32

Since there are 20 terms:

First half is for First Quartile :

4,5,8,10, 11,11, 13,15,16, 18

Second half is for third Quartile:

18, 18, 21, 23, 24, 24, 25, 27, 31, 32.

So, Value of third quartile would be

$Q_3=\dfrac{5^{th}+6^{th}}{2}\\\\Q_3=\dfarc{24+24}{2}\\\\Q_3=\dfrac{48}{2}\\\\Q_3=24$

Hence, the third quartile of the distribution is 23.