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Convert a score out of 7 to a score out of 20 - scaling issue

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pulcinettina Posted messages 4 Status Member -  
 ree -
Hello,

here is my question:
we evaluate products by giving them a score on a numerical scale from 1 to 7.
I want to convert the score obtained /7 to a score/20.

I have this formula at my disposal: ((score/7 x 1.67)-1.67) x2 = score/20

I can't understand what the coefficient 1.67 corresponds to.
I know that it should address the absence of 0 on the grading scale, meaning that 1=0 and 7=20, but I can't find out how to obtain this coefficient.

Could you please help me?

Best regards,

2 answers

  1.
    Mike-31 Posted messages 18405 Registration date   Status Contributor Last intervention   5 147
     
    Hello,

    I didn’t understand everything, but if you have a score out of 7, for example 5, to convert it to a score out of 20, you simply divide it by 7 and multiply by 20

    =5/7*20
    If you have 7, you’ll see that 7/7*20=20

    If you have a coefficient, you need to know why and what it corresponds to, but it doesn’t factor into converting a score from 7 to a score out of 20

    A+
    Mike-31

    A period of failure is a perfect time to sow the seeds of knowledge.
    36
    1. pulcinettina Posted messages 4 Status Member
       
      Thank you, Mike.
      So far, I can manage.
      The problem I'm facing is that my scale goes from 1 to 7, and to convert the score/20 and have it be accurate, the starting scale needs to be from 0 to 7. So I don't know how to compensate for the absence of 0 on my scale (information that needs to be included in the conversion formula).

      Thanks anyway.
      2
    2. ree
       
      thank you
      2