The mean of the dataset is the average, while the median is the middle element.
The mean of the dataset is calculated using:
[tex]\bar x = \frac{\sum x}{n}[/tex]
So, we have:
[tex]\bar x = \frac{99.2+ 99.2 +98.2+............+97.7}{48}[/tex]
[tex]\bar x = \frac{4715}{48}[/tex]
[tex]\bar x = 98.2[/tex]
The median position is:
[tex]Median = \frac{1}{2}(n + 1)[/tex]
[tex]Median = \frac{1}{2}(48 + 1)[/tex]
[tex]Median = \frac{1}{2}(49)[/tex]
[tex]Median = 24.5[/tex]
This means that the median is the average of the 24th and 25th element
Using the sorted dataset, we have:
[tex]Median = \frac{1}{2}(98.2 + 98.2)[/tex]
[tex]Median = 98.2[/tex]
Because the calculated mean and the common belief (98.6) are close, then we can conclude that the results support the common belief that the mean body temperature is 98.6F
Read more about mean and median at:
https://brainly.com/question/17060266
