A powerful test is the chi-square contingency table.
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Yes they are.
Any kind of data - nominal, ordinal or interval - provided you can group the data into a few categories. Ideally not more than seven, though in exceptional cases, up to ten may be used.
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.
ANOVA is a statistical test of whether the means of several groups are all equal. The chi-square test of association is used to test the null hypothesis that there is no association between two nominal scale variables. It does not require a distinction between independent and dependent variables.
The mode can be used with both kinds of data. The median may be used with ordinal data but great care is required if the median falls between two classes of observations.The mode can be used with both kinds of data. The median may be used with ordinal data but great care is required if the median falls between two classes of observations.The mode can be used with both kinds of data. The median may be used with ordinal data but great care is required if the median falls between two classes of observations.The mode can be used with both kinds of data. The median may be used with ordinal data but great care is required if the median falls between two classes of observations.