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Q: Which set of numbers does 3 over 10 belong to?
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What set of numbers does 10 11 belong to?

Any set of numbers that contain them! For example, they belong to the set {10, 11} or {10, 11, sqrt(2), pi, -3/7}, or {10, 11, bananas, France, cold} or all whole numbers between 3 and 53, or counting numbers, or integers, or rational numbers, or real numbers, or complex numbers, etc.


If a set of data set has 5 numbers has a range of six median of ten and a mean of ten what are the five numbers?

There are 4 possible answers: (7, 7, 10, 13, 13) (7, 8, 10, 12, 13) (7, 9, 10, 11, 13) (8, 8, 10, 10 14).


What set of numbers has a mean of 10?

There are an infinite number of sets of numbers. 9,10 an 11 9,9,10,11 and 11 9,9,9,10,11,11 and 11 etc, for example, is one family of sets of numbers.


Which two numbers have a mode of 10 and a range of 8?

The modes is the number which occurs most often. The range is the biggest number - the smallest number. The only way to have a mode of 10 and a range of 8, is to have the two numbers be 10 and 2. The numbers are different so each is a mode and the range is 10-2-8. Note, 2 is also a mode in the set {2,10}.


If one three-digit number is chosen at random from all those that can be made from the above set of digits find the probability that one is not multiple of 5?

An interesting question. The answer is 80%. A number must end in 0 or 5 to be dividable by 5. From 100 to 109 (10 numbers in total), there will be 2 numbers that are dividable by 5. If I then consider the entire set from 100 to 999 is 900 numbers, you have 90 sets of 10 numbers, each set with 2 dividable number, or 180/900 = 2/10 =20%. If 20% are dividable, 80% aren't. Suppose I extended the question, and say my set is all whole positive numbers and zero with n digits or less, where I pick n randomly from 1 to a million. If from this set, a number is picked randomly, what is the chance that it is dividable by 5. Answer: 20%.