Answered

Welcome to Westonci.ca, your one-stop destination for finding answers to all your questions. Join our expert community now! Get detailed answers to your questions from a community of experts dedicated to providing accurate information. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

Refer to the data set of body temperatures in degrees Fahrenheit given in the accompanying table and use software or a calculator to find the mean and median. Do the results support or contradict the common belief that the mean body temperature is 98.6​F?

Sagot :

MrRoyal

The mean of the dataset is the average, while the median is the middle element.

  • The mean and the median of the given dataset is 98.2
  • The results support the common belief that the mean body temperature is 98.6F

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

Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.