Q&A for How to Find the Mode of a Set of Numbers

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  • Question
    Can the number 0 be a mode?
    Community Answer
    Yes, if zero appears in the set more often than any other number. For example, if you asked people in your class how many pets they had, and most people said 0, the mode would be 0.
  • Question
    How do I find the range?
    Community Answer
    Order the data from least to greatest first. Next, subtract the smallest value from the largest value in the set.
  • Question
    What is the mode of the following; 15, 25, 20, 35?
    Community Answer
    There is no mode, because each number appears the same number of times (once).
  • Question
    What if two (or any other number that's not the total) numbers occur the same amount of times? Is there still a mode? If so, how do I find it?
    Community Answer
    There is a mode, but if there are two of that number, it is called bimodal, and if there are more than two modes, it is classed as multi-modal.
  • Question
    Is this implying that a data set has no mode?
    Donagan
    Top Answerer
    No, it does not imply that. It does state, however, that a data set is "amodal" or non-modal if the set contains no number that appears more often than every other number in the set.
  • Question
    How do I find the mode with no repeating numbers?
    Community Answer
    If no numbers repeat, then you don't have a mode. You simply write, "no mode."
  • Question
    Can a multi-modal be calculated further?
    Donagan
    Top Answerer
    No. A number is either a mode of a data set or it isn't. "Multi-modal" simply means that more than one number occurs most often in a set. Thus, if (for instance) the numbers 3, 7, and 11 each occur four times in a data set, and all other numbers occur fewer than four times, the set is said to be multi-modal (or tri-modal in this case), and that's as far as you can carry the analysis.
  • Question
    What can be said about a data set in which all the values are identical?
    Orangejews
    Community Answer
    If all outcomes occur with the same frequency (for example, throwing a fair die), you have a uniform distribution. Uniform distributions are amodal; they don't have a mode.
  • Question
    What is the mode of. 2, 3, 5, 6, 5, 7, 9, 7, 8?
    Donagan
    Top Answerer
    The set is bi-modal: there are two numbers (5 and 7) that appear more often than the rest.
  • Question
    Is the mean the same as the median for odd sets of numbers?
    Orangejews
    Community Answer
    Not necessarily. The sample {1, 10, 100} has median 10 (outcomes above 10 are equally common as outcomes below 10). The mean is (100 + 10 + 1) / 3 = 37. Distributions where mean and median are unequal are called skewed distributions.
  • Question
    How many modes can one set of numbers have?
    Community Answer
    It would depend on the size of the set. A big enough set could have a very large number of modes.
  • Question
    What if I have the numbers 50, 50, 55, 60, and 60?
    Cluster Duck
    Community Answer
    Both 50 and 60 are the mode, as they both appear the most out of the data provided.
  • Question
    What seven numbers have a mean of 2 and a mode of 5?
    Community Answer
    Assume any five numbers out of seven as 5 and rest as the same numbers. Then solve the numbers for direct mean method and find the numbers that will be 5,5,5,5,5,-11/2,-11/2.
  • Question
    How can I find the mode if the frequency is not given?
    Donagan
    Top Answerer
    You would have to be given a "set of numbers" in order to find its mode. If no "frequency" is given, you would have to count the number of times any given number appears in the set.
  • Question
    If I have a data set that is like 1,2,2,4,5,6,6,7,8,12 and there is more than on mode, which one do I use?
    Patrick Moore
    Community Answer
    Use all of them. There can always be more than one mode.
  • Question
    What is the mode of 2, 2, 2, 2?
    Tina X
    Community Answer
    The mode of 2, 2, 2, 2 is 2, because 2 appeared the most amount of times in 2, 2, 2, 2.
  • Question
    How to find the mode if all the numbers are the same? For example: 9, 9, 10, 8, 10, 8.
    Donagan
    Top Answerer
    Just look at the set and count the number of times any given number appears. In this set each number, 8, 9 and 10, appears twice, so the set is trimodal (or multi-modal).
  • Question
    What will be the mode of the data set 5,5,5,5,5,5?
    Donagan
    Top Answerer
    The mode is 5.
  • Question
    Choose the sets of numbers that have a mode of 8: A. 10,7,9,8,11,8,12 B. 8,9,10, 11,12 C. 10,8,9,10,9,10 D. 11,8,8,9,10, 7,10,10,11,11?
    Donagan
    Top Answerer
    A is the only set with a mode of 8.
  • Question
    What will be the mode in this set: 1, 1, 2, 3, 3, 4, 5, 6, 7, 7, 8, 9, 9?
    Donagan
    Top Answerer
    This set is multi-modal. 1, 3, 7 and 9 are all modes.
  • Question
    What if all of the numbers appears the same amount of time? What should I say?
    Donagan
    Top Answerer
    Label the set as "multimodal." (If there are two modes, the set is bimodal. If there are three modes, the set is trimodal.)
  • Question
    What is the mode of the following set; 12. 14 16 16 16 31. 31 31
    Community Answer
    This set is bimodal (meaning there are two modes), because there are two numbers (16 and 31) that each appear three times in the set.
  • Question
    What is the mode in 1, 1, 1, 1, 1?
    Community Answer
    That set does not have a mode. It's "amodal." That's because no number in the set appears more often than any other number in the set.
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