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}
[tex]Q_1=\frac{33+34}{2}=33.5[/tex]
The third quartile is the median of the upper half of the ascending set.
{39,40,41,54}
[tex]Q_3=\frac{40+41}{2}=40.5[/tex]
The inter-quartile range is the the third quartile minus the first quartile.
[tex]IQR=Q_3-Q_1=40.5-33.5=7[/tex]
The range is the maximum value minus the least value.
Range=54-27=27
