Ordinal statistics or data is classified as ordinal if the values can be rated on a scale or put i order. Ordinal data can be counted but never measured.
No, but the answers provide ordinal data.
A measure used to describe the variability of data distribution is the standard deviation. It quantifies the amount of dispersion or spread in a set of values, indicating how much individual data points differ from the mean. A higher standard deviation signifies greater variability, while a lower standard deviation indicates that the data points are closer to the mean. Other measures of variability include variance and range.
1.) Discrete: restricted to integers; ordinal subjective
no, they are categorical
It is ordinal.
Ordinal statistics or data is classified as ordinal if the values can be rated on a scale or put i order. Ordinal data can be counted but never measured.
No, but the answers provide ordinal data.
The range, inter-quartile range (IQR), mean absolute deviation [from the mean], variance and standard deviation are some of the many measures of variability.
This is a surprisingly difficult question, partly perhaps because of the ambiguous term 'ordinal'. For instance, horse-race finishes are ordinal--horses usually finish first, second, etc., with no ties; pure order data gives no information about gaps between horses. For such data--the purest form of ordinal data--talk about variability is meaningless. You need data with 'ties' or repeated 'values'--more cases than ordered categories--to talk about variability meaningfully. If you do have repeated values, one option is to fall back and use nominal variability measures--the Index of Qualitative Variation is one; information statistics also work; and there's always the frequency/percentage table. They don't 'measure' concentration along the categoric order, obviously. Disappointingly many websites recommend using the range or interquartile range, presumably calculated by assigning numbers to the ordered categories and subtracting. These indices are very dangerous if you assume only qualitative order among categories. This is obviously flawed--if you don't know how far categories are separated, subtracting numbers is flat invalid. For instance, rank states in the US by size--Alaska is 1, RI is 50--and consider the fact that a group from AK, TX, and CA has a range of 2 and a group from NJ and MA has range of 3 [47 - 44]. First, those numbers are really meaningless; second, they sure misrepresent relations among state size differences. Unless you trust that your 'ordinal' categories are pretty close to equal intervals apart--what we call 'quasi-interval'--you simply cannot use range validly to measure ordinal variability. The same reasoning applies to inter-quartile range. You might as well use variance, since describing 'skew' and 'outliers' for ordinal data is very dangerous, itself. More valid ordinal measures do exist--I cannot recall them. But when you choose an index, take care to examine how it is treating the numbers or other ordering symbols it trades on. Invalidity is rife.
A measure used to describe the variability of data distribution is the standard deviation. It quantifies the amount of dispersion or spread in a set of values, indicating how much individual data points differ from the mean. A higher standard deviation signifies greater variability, while a lower standard deviation indicates that the data points are closer to the mean. Other measures of variability include variance and range.
Variability and Central Tendency (Stats Student)
The median is used when reporting ordinal data.
The best measure of variability depends on the specific characteristics of the data. Common measures include the range, standard deviation, and variance. The choice of measure should be made based on the distribution of the data and the research question being addressed.
1.) Discrete: restricted to integers; ordinal subjective
False. Data at the ordinal level can be either quantitative or qualitative. In ordinal data, the categories have a meaningful order or rank, but the difference between the categories is not necessarily equal.
There are a number of appropriate displays to show the measures of variation for a data set. Different graphs can be used for this purpose which may include histograms, stemplots, dotplots and boxplots among others.