Answered

At Westonci.ca, we connect you with the answers you need, thanks to our active and informed community. Experience the ease of finding quick and accurate answers to your questions from professionals on our platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

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

Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.