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If you are considering a single ordinal variable, determining the mode or median would be meaningful, but the mean or SD would not. Many researchers do consider likert-scale data to possess only ordinal qualities. However, leading research studies, for example in the marketing area, obtain measures such as means and standard deviations from likert-scale data. Indeed leading textbooks also follow this approach. One concern has been that the 'distances' between points on a likert scale are not equal, for example the 'distance' or 'difference' between a strongly disagree and disagree is not the same as the difference between disagree and neutral. A recent study discusses these issues, as well as demonstrating that data obtained from 5-point, 7-point and 10-point likert scales are approximately comparable in terms of mean score (once re-scaled) and various measures of variation and data shape. The study reference is Dawes, John "Do Data Characteristics Change According to the Number of Scale Points Used ? An Experiment using 5-point, 7-point and 10-point Scales" International Journal of Market Research, Vol 50 2008.

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Q: As likert scale are ordinal data can I obtain mean and SD from them?
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