math question

hi, i have a math question that i need help with:

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.

  1. 👍 0
  2. 👎 0
  3. 👁 59
asked by kelsey

Respond to this Question

First Name

Your Response

Similar Questions

  1. MAth

    Ok so basically we have to choose a topic of interest and then survey it... one that you can obtain numerical data from that has the potential to have responses with a significant amount of variation. and then create a question to

    asked by Lululu on October 7, 2013
  2. Statistics

    2. Any given data set consists of a set of numerical values. Please indicate by stating yes or no for each of the following statements whether or not it could be correct for any data set. (This question is not referring to the

    asked by Anonymous on July 7, 2010
  3. Math

    here is the question: Freida must take a 4-hour exam containing 200 questions, 50 of which are math. Twice as much time should be allowed for each math ques as for each other type of question. What is the total # of minutes she

    asked by Sophia on November 12, 2009
  4. Math!!!

    I have an MSA math question. What scale would you use for making a frequency table of the following data 21,79,11,9,55,38,111, and 92? Please answer it I need the question now.

    asked by Somebody on September 6, 2011
  5. Math

    I can't figure out this question in my math book. What would be a reasonable answer???: Why is it important to measure variability in a data set? I don't understand my homework,is about round numbers,prime factorizations,and large

    asked by Anna on September 28, 2006
  6. Statistics

    First 7: 57 61 57 57 58 57 61 Second 7: 61 52 69 64 46 54 47 2. Any given data set consists of a set of numerical values. Please indicate by stating yes or no for each of the following statements whether or not it could be correct

    asked by Anonymous on July 8, 2010
  7. UOP RES 342

    Use the numerical data from one of the data sets provided. · Develop one business research question from which you will formulate a research hypothesis that will test two or more populations. · Prepare a 250 word paper

    asked by Rachael on July 15, 2012
  8. Math

    Let me know if I'm correct using power of 10: numerical of 10^2 is 1x10x10 and if multiply the numerical to get the sum in numerical and decimal is 100

    asked by Sam on May 26, 2009
  9. Self-Taught Mathematicians

    Those of us who love math certainly know two basic facts about Mr. Gottfried Wilhelm Leibniz: (1) He and Newton (our calculus guy) did not get along AND (2) Mr. Leibniz was a self-taught mathematician My question is for all tutors

    asked by Guido on February 22, 2008
  10. How to get quick responses to your math questions

    Math is a wide subject, ranging from K to 11, college and university. Then there is algebra, trigonometry, geometry, arithmetic, calculus, number theory, ... etc. Not all teachers answer all math questions (many do). If you would

    asked by MathMate on May 25, 2013

More Similar Questions