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

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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.

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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.

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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).

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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.

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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.

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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."

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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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).

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Question

What will be the mode of the data set 5,5,5,5,5,5?

Donagan

Top Answerer

The mode is 5.

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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.

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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.

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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.)

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