

Study with the several resources on Docsity
Earn points by helping other students or get them with a premium plan
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
Community
Ask the community for help and clear up your study doubts
Discover the best universities in your country according to Docsity users
Free resources
Download our free guides on studying techniques, anxiety management strategies, and thesis advice from Docsity tutors
How to calculate the median of ace results when students may want to respond with a score between two whole numbers. A formula and a worked example to help understand the process.
Typology: Study notes
1 / 2
This page cannot be seen from the preview
Don't miss anything!
Explanation of Median for ACE results
The ACE evaluation response options are the whole numbers from 1 – 6. However, it is feasible that a student would want to respond with an answer between any 2 of these whole numbers. For example, a student may not want to endorse 6, but doesn’t want to go as low as 5. Perhaps the student’s satisfaction is really 5.4. If we had an infinitely precise instrument, we could actually determine this. However, we do not. To help compensate for this we must treat this data as continuous and not discrete.
The median for continuous data requires more arithmetic. The formula for this calculation is given below:
i f
N fb Median L m
where: L = lower limit of interval containing median
fm = frequency of the interval containing the median N = Number of students i = size of the interval containing the median
The steps to using this formula are as follows:
Worked example:
An instructor receives these scores on an ACE question: {1, 1, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6}
This table summarizes the key pieces of data that are required:
Score Real Limit Frequency Relative Frequency
Cumulative Frequency
Relative Cumulative Frequency 6 5.5-6.5 2 0.095 21 1. 5 4.5-5.5 10 0.476 19 0. 4 3.5-4.5 3 0.143 9 0. 3 2.5-3.5 3 0.143 6 0. 2 1.5-2.5 1 0.048 3 0. 1 0.5-1.5 2 0.095 2 0.
The steps to using this formula are as follows: