Understand how to calculate the average of a question

Understand how to calculate the average of a question

The score for all questions, regardless of their scoring scale, is always calculated out of 10 or as a percentage (%) so that questions can be compared to each other.


The result of this calculation is a number between 0 and 10 (0% and 100% if the result is displayed as a percentage). A score close to 0 means that the majority of employees selected the lowest option. Conversely, a score close to 10 means that the majority of employees selected the highest option.

 

Calculation method

Below you will find the calculation formula. Scroll down a bit to see a concrete example. 


Element of the formula
Definition
Omin

This is the minimum option value.

On a scale of 1 to 7, Omin is 1.
On a scale of 0 to 10, Omin is 0.
On a multiple choice scale, Omin is always 1.
Omax
This is the maximum option value.
On a scale of 1 to 7, Omax is 7.
On a scale of 0 to 10, Omax is 10.
On a multiple choice scale, Omax is always the number of options.
% Option ?

This is the percentage of respondents who answered this option.


For example, the label (% Option 1) is the percentage of respondents who selected option 1

 

Why can't we just divide by the number of options?

You may wonder why, in a question from 1 to 5 for example, we have to subtract Omin from each answer option and use the denominator (Omax - Omin).

 

The easiest way is to illustrate it with an example:

Imagine that 100% of respondents answered the middle option: neither agree nor disagree.

 

If we applied the following simple formula: (100% * 3/ 5), the result would be 60%. However, this is incorrect because 100% of respondents assign the neutral value, so the result must be 50%.

 

The correct result for this question is (100% * (3 - 1) / (5 - 1) = 50%.

 

Not using the correct formula will always create a positive bias in your results, regardless of the distribution of options chosen.


 

Example of calculation

Consider the multiple choice question below:

 

The values are as follows:

  • Option #1: Strongly Disagree: 7%.
  • Option #2: Somewhat Disagree: 0
  • Option #3: Neither agree nor disagree: 27
  • Option #4: Somewhat agree: 33
  • Option #5: Strongly agree: 33

NOTE: Manual calculation of the total for each option may not equal 100% due to rounding of percentages to zero decimal places.

 

Application of the fomula

  • Omin is 1 since we will use the order of choices as the value of the option.
  • Omax is 5 since there are 5 choices of answers.
  • The wording (% Option 1) equals the percentage of respondents who selected option 1. In the example question above, 7% of people selected option #1, strongly disagree.

The formula for our example is therefore :

 

Note: As you can see in this example, the formula appears to give a result of 71.25% when the platform shows 72%. This is simply a matter of rounding. The platform uses exact values while we used rounded values. The perfect result is the one displayed in the platform. Note that there is no difference in interpretation between 71.25% and 72%!

 


    • Related Articles

    • How to track participation rates?

      It is important to pay particular attention to your employee's participation rates in surveys since they can change over time due to several influencing factors. Here are some examples of questions to ask yourself in order to encourage a high ...
    • Feedback Report - Understanding and Using the Report

      Comments written by employees are available in a number of places, including the Overview Report, the Detailed Report by Issue, the Actions Report and the Comments Report. This article focuses on the latter report as it includes all the comments you ...
    • Compare results over time

      Amélio allows you to track the evolution of your results over the course of your surveys. This allows you to track the actions and initiatives implemented to improve job satisfaction and employee engagement.  Various tools will allow you to track ...
    • The eNPS score/ Identifying the level of employee pride

       The eNPS (employee Net Promoter Score) identifies the level of employee pride in your organization. The question "Would you recommend ABC Inc as a good place to work?" helps to separate employees into those who are promoters of your company, those ...
    • Exporting survey results to Excel

      Amélio allows you to export survey results in Excel format while respecting the confidentiality and anonymity of employees. Data can be exported for all employees and can also be classified by demographic attributes.   How to export your results to ...