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Mode of set of numbers
Mode of set of numbers

In statistics, the number that occurs the most often in a set of number is called as mode. Like the statistical mean and median, the mode is a way of capturing important information about a random variable or a population in a single quantity. The mode is in general different from the mean and median, and may be very different for strongly skewed distributions.

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Mode of Set of Numbers Examples

Example 1: Find the mode for following set of numbers {25, 26, 25, 24, 36, 38, 40, 25, 39, 38}

Solution:

Given set is {25, 26, 25, 24, 36, 38, 40, 25, 39, 38}

In this set 25 is repeated three times, 38 is repeated twice only.

{25, 26, 25, 24, 36, 38, 40, 25, 39, 38}

Therefore 25 is the mode of the given set of numbers.

Example 2: Find the mode for following set of numbers {45, 44, 56, 65, 76, 80, 60, 35, 49, 56}

Solution:

Given set is {45, 44, 56, 65, 76, 80, 60, 35, 49, 56}

In this set 56 is repeated twice.

{45, 44, 56, 65, 76, 80, 60, 35, 49, 56}

Therefore 56 is the mode of the given set of numbers.

Example 3: Find the mode for following set of numbers {45, 54, 65, 75, 55, 45, 54, 65, 49, 98}

Solution:

Given set is {45, 54, 65, 75, 55, 45, 54, 65, 49, 98}

In this set 45, 54, 65 are repeated two times.

{45, 54, 65, 75, 55, 45, 54, 65, 49, 98}

Therefore 45, 54, 65 are the mode of the given set of numbers.

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Example 4: Find the mode for following set of numbers {25, 26, 25, 24, 36, 38, 40, 25, 39, 38}

Solution:

Given set is {25, 26, 25, 24, 36, 38, 40, 25, 39, 38}

In this set 25 is repeated three times.

{25, 26, 25, 24, 36, 38, 40, 25, 39, 38}

Therefore 25 is the mode of the given set of numbers.

Example 5: Find the mode for following set of numbers {36, 480, 254, 658, 256, 325, 480, 325, 259, 348}

Solution:

Given set is {36, 480, 254, 658, 256, 325, 480, 325, 259, 348}

In this set 325 and 480 are repeated two times.

{36, 480, 254, 658, 256, 325, 480, 325, 259, 348}

Therefore 325 and 480 are the mode of the given set of numbers.

Example 6: Find the mode for following set of numbers {72, 75, 84, 84, 73, 89, 84, 35, 84, 34}

Solution:

Given set is {72, 75, 84, 84, 73, 89, 84, 35, 84, 34}

In this set 84 is repeated four times.

{72, 75, 84, 84, 73, 89, 84, 35, 84, 34}

Therefore 84 is the mode of the given set of numbers.

Mode of Set of Numbers Practice Problems

Problem 1: Find the mode for following set of numbers {255, 626, 625, 724, 136, 255, 40, 724, 39, 255}.

Answer: 255

Problem 2: Find the mode for following set of numbers {78, 46, 55, 28, 28, 14, 14, 25, 65, 44}.

Answer: 14, 28

Find The Range Of The Set Of Numbers:2,8,5,6,9,7,4,4,5,4,3. Can You Help?

2,8,5,6,9,7,4,4,5,4,3 first put the numbers in order least to greatest.

2,3,4,4,4,5,5,6,7,8,9

make sure to include all the numbers. Take the least and greatest number and subtract. 9-2=7 answer:7

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