Human body temperatures have a mean of 98.20 degrees Fahrenheit and a standard deviation 0.62 degrees Fahrenheit. You take your temperature and it is 96.98 degrees Fahrenheit. What is your z-score?

 

Find the third quartile Q3 of the list of 24 sorted values shown below. 30 31 31 32 33 33 34 35 35 37 42 46 46 49 53 53 55 55 59 60 65 68 78 79

{30 31 31 32 33 33} {34 35 35 37 42 46} {46 49 53 53 55 55} {59 60 65 68 78 79} 



 
another method gives us 

Find the area to the left of 2 on a standard normal distribution

In statistics the standard normal distribution is a probability distribution with a mean of 0 and a standard deviation of 1. Area is used to determine probabilities. The area we need can be found by integrating or by using what is called a "z-table". We seek the value 
 

:)

The average of A and B is 6. The average of X,Y, and Z is 16. What is the average of A,B,X,Y, and Z?

This is a weighted average where A, B contributes 2/5 and X,Y, Z contributes 3/5 

Ave=(2/5)(6)+(3/5)(16) = 12 


:)

mean with unknown data

if you have a mean of 84 on a test and three of the scores are 84, 88, and 80 what is the fourth score

Solution:

Let's call the unknown value x... 

This is our working equation... 

 
 

 


 

Tony has the following data:


14, X, 19, 9, 8


If the mean is 14, what is the value of X?


Solution:

The mean of all five numbers is 14 even though we don't know X.
So we can write the following: