Sunday, February 24, 2013

The Math Mode Mean

Introduction of math mode:

In statistics, the mode is the value that occurs the most frequently in a data set  or a probability distribution. In some fields, notably education, sample data are often called scores, and the sample mode is known as the modal score. Like the statistical mean and the 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. (Source: Wikipedia)

Math mode - Example problems:

Math mode  - Example Problem: 1

Find the mode of 6, 5, 3, 9, 8, 9, 5.

Here, the two numbers 5 and 9 is the mode because they both appear twice.

So there is only one, more than one or no mode.

Math mode  - Example Problem: 2

What is  the mode of 20, 9, 63, 58, 20, 52, 16, 20, 3, 15, 44

Solution:

20, 9, 63, 58, 20, 52, 16, 20, 3, 15, 44

Put the numbers is order for ease:

3, 9, 15, 16, 20, 20, 20, 44, 52, 58, 63

The Mode is 20 (20 occurs at 3 times)

Math mode  - Example Problem: 3

The mode is the number in a series that occurs most frequently (most common). To find the number that appears the greatest number of more times in the group. example the mode for the following set of numbers is 25 and 7.

34, 25, 7, 56, 25, 7, 98, 7, 45, 25

It occurs 3 times. There would be two modes: 25 and 7.

Math mode  - Example Problem: 4

What is the mode of 38, 24, 58, 16, 38, 23, 16, 39

Solution:

38, 24, 58, 16, 38, 23, 16, 39

Put the numbers in order for ease:

16, 16, 23, 24, 38, 38, 39, 58

The Mode is 16 and 38 (16 and 38 occurs at 2 times)

Math mode  - Example Problem: 5

Find is the mode of 32, 8, 19, 45, 16, 8, 1, 32.

Here, there are two numbers 8 and 32 are answers because they both appear twice.

So there is only one, more than one or no mode. Understanding Definition of Sample Space is always challenging for me but thanks to all math help websites to help me out.

Math mode - Practice problems:

1. Find is the mode of 18, 68, 52, 16, 65, 18, 40, 52.

[Answer: 18 and 52]

2. What is the mode of 52,16,50,48,52,9,54,36,52,26.

[Answer: 52]

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