Tuesday

November 25, 2014

November 25, 2014

Posted by **kelsey** on Tuesday, August 29, 2006 at 3:17pm.

when data are non-numerical but can be ordered, such as letter grades, the mean cannot be calculated directly; but both the median and mode can be found. Last year in Ms. Flag's history course, the final grades were 8A's, 6B's, 3C's, 3D's, and 1 F.

Can you find the mean grade for the grades? If yes, devise a system that finds a mean grade. If not, explain why.

Not sure...I tried assigning points to each letter grade but got confused. I need help. Thank you so much.

kelsey, this type of data is referred to as cateforical data, as opposed to ordinal data such as heights and weights.

To do calculations with categorical data, we need to assign numbers to the categories.

We can do this several different ways, so some experimenting may be necessary.

For your data we could assign 4 to A, 3 to B, 2 to C, 1 to D and 0 to F.

Then we have

8A's, 6B's, 3C's, 3D's, and 1 F =

8*4 + 6*3 + 3*2 + 3*1 + 1*0 = 59 total grade score sum

The total number of grades is

8A's, 6B's, 3C's, 3D's, and 1 F = 21 total rades issued.

The average grade issued with this system is the total grade score sum divided total rades issued. This is

59/21 = 2.81 approx. would be the mean for this data with the assignments given.

As I said, there is no one single system that can be employed to assign numbers to categories, so it must be known what values are assigned to make sense of statistics with categorical data. To answer the question, yes, we can devise a system to find the mean, but it will not be unique.

**Answer this Question**

**Related Questions**

MAth - Ok so basically we have to choose a topic of interest and then survey it...

science - I have two questions. I'm doing a crossword puzzle and this is the ...

math 12 - The mean and standard deviation of a set of data are two measurments ...

Math - theres a question on my homework packet. Here it is: -The Data contains 7...

Math!!! - I have an MSA math question. What scale would you use for making a ...

Math 12 - The mean and standard deviation of a set of data are two measurments ...

math 12 - The mean and standard deviation of a set of data are two measurments ...

Statisitcs - I have given you the information from 2-4 in hopes to help with the...

statistics - basically i'm at the begining of the text book doing summer work it...

Science - An experiment always starts with: data collection or theory or group ...