Given:
Consider the below figure attached with this question.
The given data set is:
66, 65, 66, 70, 66, 68, 63, 60, 66, 68, 63, 65
To find:
The correct box plot for the given data set.
Solution:
We have,
66, 65, 66, 70, 66, 68, 63, 60, 66, 68, 63, 65
Arrange the data set in ascending order.
60, 63, 63, 65, 65, 66, 66, 66, 66, 68, 68, 70
Divide the data set in 4 equal parts by using the parenthesis.
(60, 63, 63), (65, 65, 66), (66, 66, 66), (68, 68, 70)
Minimum value = 60
First quartile: ![Q_1=\dfrac{63+65}{2}](https://tex.z-dn.net/?f=Q_1%3D%5Cdfrac%7B63%2B65%7D%7B2%7D)
![Q_1=64](https://tex.z-dn.net/?f=Q_1%3D64)
Median: ![M=\dfrac{66+66}{2}](https://tex.z-dn.net/?f=M%3D%5Cdfrac%7B66%2B66%7D%7B2%7D)
![M=66](https://tex.z-dn.net/?f=M%3D66)
Third quartile: ![Q_3=\dfrac{66+68}{2}](https://tex.z-dn.net/?f=Q_3%3D%5Cdfrac%7B66%2B68%7D%7B2%7D)
![Q_3=67](https://tex.z-dn.net/?f=Q_3%3D67)
Maximum value = 70
It means the end points of the box plot are 60 and 70. The box lies between 64 and 67. Line inside the box at 66.
The box plot in option A is the only box plot that satisfy the above conditions.
Therefore, the correct option is A.