Answer:
The Discrete set of data is the set of values that are not covering a range of values. For example No. of students in the class (IF number of students 20, it does not cover all values, such as student cannot be assigned by a decimal value 1.5, 1.7) it only covers the integers.
The Continuous Data means we are covering a range between two values that includes all values between them such as variation in temperature of a city in one day (The variation in 5 degree to 20 degree means, it continuously increasing such as 5.0 them 5.1, 5.11 and so on up to 20 degree) It covers all values decimal and integers between them.
Explanation:
a) The number of voters who vote Democratic
The number of voters are DISCRETE. As there may 10 voters or 15 voters. 15 means 1 to 15 only integers such as 1, 2,3...15. This may not include 1.1, 1.3 decimal part.
(b) The number of errors found on a student's research paper.
The number of error on the research paper are also DISCRETE.
(c) The length of time it takes to fill up your gas tank.
The length of time covers all seconds and milliseconds between two time intervals so It is CONTINUOUS.
(d) The distance traveled by a city bus each day
The distance is also covered by each centimeter, meter and mile between two terminals of Bus. So this is also CONTINUOUS.