Mode Definition in Mathematical Terms

Introduction to mode definition in mathematical terms:

In math, number of mathematical terms are available. One of the important mathematical terms is mode. The definition of mode is referred as the value that occurs often in the given set of data.

Preparation for the mode is very simple once we understand the concept involved in finding the mode of a set of data. I like to share this What Does Mean Median and Mode Mean? with you all through my article.

Through this article 'mode definition in mathematical terms', we are going to discuss about finding the mode of a set of data.

Steps to Find Mode of Data Set:

The definition of the mathematical terms mode can be easily understood using the following steps.

Step 1: Order the given data from least to greatest.

Step 2: Identify the value which occurs most often.

Step 3: The value(s) that occurs often is the mode of the given data set.

Hint: In a data set, If  two values occurs most often, it is referred as bimodal. If no values occur often in the data set, then the data set is said to have no mode.

Example Problems for Finding Mode of Data Set:

Example 1:

Find the mode of the data set: { 2, 4, 6, 4, 8, 10 }

Solution:

Step 1: The data set can be ordered as { 2, 4, 4, 6, 8, 10 }

Step 2: In the data set, the value 4 occur two times.

Step 3: Hence, the mode is 4.

Example 2:

Find the mode of the data set: { 45, 41, 55, 41, 35, 37, 41, 36 }

Solution:

Step 1: The data set can be ordered as { 35, 36, 37, 41, 41, 41, 45, 55 }

Step 2: In the data set, the value 41 occurs three times.

Step 3: Hence, the mode is 41.

Example 3:

Find the mode of the data set: { 60, 47, 48, 54, 47, 48, 44 }

Solution:

Step 1: The data set can be ordered as { 44, 47, 47, 48, 48, 54, 60 }

Step 2: In the data set, the values 47 and 48 occur two times.

Step 3: Hence, the modes are 47 and 48.

Example 4:

Find the mode of the data set: { 21, 20, 23, 42, 33, 41 }

Solution:

Step 1: The data set can be ordered as { 20, 21, 23, 33, 41, 42 }

Step 2: In the data set, no values occurs often.

Step 3: Hence, the data set have no mode. Please express your views of this topic college math word problems by commenting on blog.

Practice Problems for Mode Definition:

1) Find the mode of the data set: { 24, 6, 12, 6, 8, 4 }

Answer: Mode is 6

2) Find the mode of the data set: { 33, 21, 24, 21, 40, 43, 24 }

Answer: Modes are 21 and 24

3) Find the mode of the data set: { 55, 65, 75, 65, 85, 95, 65, 45 }

Answer: Mode is 65

4) Find the mode of the data set: { 21, 31, 42, 55, 40, 66 }

Answer: No mode