Saturday

March 28, 2015

March 28, 2015

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 mean median mode - which of the following shows the order from least to ...

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

Statistics - I have provided information from #3-5 in order to answer #6.. 3. ...

math - 6. Which is the best measure of central tendency for the type of data ...

statistics - Consider the following situation, and answer each of the following ...

Math Ms. Sue please - 6. Which is the best measure of central tendency for the ...

statistics - The response of a sample of 1620 people who were asked if the air ...

algebra 1 question pls help!!! - 1. Find the mean, median, and mode of the data ...

math (please check answer) - Which is the best measure of central tendency for ...

math mean,median,mode,range - can you check if i have this right? i need to find...