Answer :
First, we sort the temperatures for each week in ascending order.
For this week, the temperatures are
[tex]$$65, \;73,\; 73,\; 74,\; 73,\; 75,\; 71.$$[/tex]
When sorted, this list becomes:
[tex]$$65, \;71, \;73, \;73, \;73, \;74, \;75.$$[/tex]
Since there are 7 numbers, the median is the fourth element (when counting in order). Thus, the median for this week is
[tex]$$73.$$[/tex]
For last week, the temperatures are
[tex]$$68, \;51,\; 62,\; 66,\; 85,\; 72,\; 72.$$[/tex]
When sorted, this list becomes:
[tex]$$51, \;62, \;66, \;68, \;72, \;72, \;85.$$[/tex]
Similarly, the median is the fourth element, so the median for last week is
[tex]$$68.$$[/tex]
The difference between the medians is calculated as:
[tex]$$73 - 68 = 5.$$[/tex]
Thus, this week’s median temperature is [tex]$\boxed{5}$[/tex] degrees greater than last week’s median temperature.
For this week, the temperatures are
[tex]$$65, \;73,\; 73,\; 74,\; 73,\; 75,\; 71.$$[/tex]
When sorted, this list becomes:
[tex]$$65, \;71, \;73, \;73, \;73, \;74, \;75.$$[/tex]
Since there are 7 numbers, the median is the fourth element (when counting in order). Thus, the median for this week is
[tex]$$73.$$[/tex]
For last week, the temperatures are
[tex]$$68, \;51,\; 62,\; 66,\; 85,\; 72,\; 72.$$[/tex]
When sorted, this list becomes:
[tex]$$51, \;62, \;66, \;68, \;72, \;72, \;85.$$[/tex]
Similarly, the median is the fourth element, so the median for last week is
[tex]$$68.$$[/tex]
The difference between the medians is calculated as:
[tex]$$73 - 68 = 5.$$[/tex]
Thus, this week’s median temperature is [tex]$\boxed{5}$[/tex] degrees greater than last week’s median temperature.
