Hi: I have a survey where respondents were asked to rank a series of statements in terms of how much they agreed with them. There were seven statements. So, for each of seven statements, each respondent has value that ranges from 1 to 7, depending on where they ranked that item. Two questions: first, should I conceive of this as an ordinal or an interval level variable. I'm inclined to think of it as an ordinal variable, because I'm not sure how meaningful a mean is in this context. It seems more intuitive to say the median ranking of this group of respondents' for this statement was 2, compared to 5 for a different group, rather than, say, 3.6 compared to 5.5, or whatever.
So, my first question is, is that sound logic?
The second question flows from this: If I do conceive of this as an ordinal level variable, rather than an interval, what statistical test can I use to test for difference in median values? I have read a little bit that refers to a Wilcoxon-Mann-Whitney test for difference in medians, but I'm not sure if that is proper for a cross-sectional survey of around 150 people at the same point in time.
Thank you for your suggestions