Yes.
Yes, they do exist.
It is Ordinal:Order the data from smallest to largest or "worst" to "best".Each data value can be compared with another data value.
illustrate how you can express the age of group of persons as {1}nominal,{2}ordinal data,{3} interval data,{4}ratio data
interval
interval
Yes.
Yes, they do exist.
It is a HISTOGRAM.
Age is none of the items listed. Age is ratio data.
No; since you refer to a math score (and not a math grade), it is ratio data.
Data comes in various sizes and shapes. Two of them are Interval and Ratio. Interval is a measurement where the difference between two values is meaningful and follows a linear scale. For example: in physics, temperature 0.0 on either F or C does not mean 'no temperature'; in biology, a pH of 0.0 does not mean 'no acidity'. Interval data is continuous data where differences are interpretable, ordered, and constant scale, but there is no 'natural' zero. Ratio is the relation in degree or number between two similar things or a relationship between two quantities, ordered, constant scale, with natural zero. Ratio data is interpretable. Ratio data has a natural zero. A good example is birth weight in kg. The distinctions between interval and ratio data are slight. Certain specialized statistics, such as a geometric mean and a coefficient of variation can only be applied to ratio data.
Time is ratio data because it has a true, meaningful data. You can say that at time 20 seconds, it is twice the amount of time than 10 seconds. Interval data doesn't have a true zero e.g. degrees celcius. Although you can say 60 degrees is hotter than 30 degrees you can't say that it is twice as hot.
Interval-Ratio can use all three measures, but the most appropriate should be mean unless there is high skew, then median should be used.
Telephone numbers are actually nominal data.
It is ratio.
It is ratio; it has a natural zero and is numerical data.