Answer:
Median=37
First quartile=33.5
Third quartile=40.5
Inter-quartile range=7
Range=27
Step-by-step explanation:
The given data set is ;
40,33,37,54,41,34,27,39,35
We arrange the data set in ascending order to obtain;
{27,33,34,35,37,39,40,41,54}
The median is the middle number {37}
First quartile is the median of the lower half of the ascending set.
{27,33,34,35}
![Q_1=\frac{33+34}{2}=33.5](https://tex.z-dn.net/?f=Q_1%3D%5Cfrac%7B33%2B34%7D%7B2%7D%3D33.5)
The third quartile is the median of the upper half of the ascending set.
{39,40,41,54}
![Q_3=\frac{40+41}{2}=40.5](https://tex.z-dn.net/?f=Q_3%3D%5Cfrac%7B40%2B41%7D%7B2%7D%3D40.5)
The inter-quartile range is the the third quartile minus the first quartile.
![IQR=Q_3-Q_1=40.5-33.5=7](https://tex.z-dn.net/?f=IQR%3DQ_3-Q_1%3D40.5-33.5%3D7)
The range is the maximum value minus the least value.
Range=54-27=27