how we can find the mode of data

http://www.mathgoodies.com/lessons/vol8/mode.html

the value that occurs the most frequently in a data set or a probability distribution

To find the mode of a data set, you can follow these steps:

1. Sort the data set in ascending order from the smallest to the largest value.

2. Count the frequency of each unique value in the data set. A frequency refers to the number of times a value appears in the data set.

3. Identify the value or values with the highest frequency. These values are the modes of the data set.

Here's an example to illustrate the process:

Let's say we have the following data set: [4, 6, 2, 3, 2, 8, 6, 4, 2, 6]

1. Sorting the data set in ascending order gives us: [2, 2, 2, 3, 4, 4, 6, 6, 6, 8]

2. Counting the frequency of each unique value:
- 2 appears 3 times
- 3 appears 1 time
- 4 appears 2 times
- 6 appears 3 times
- 8 appears 1 time

3. The value with the highest frequency is 2, and the data set has multiple modes since both 2 and 6 occur most frequently. Therefore, the modes of this data set are 2 and 6.

Remember, if all values in the data set occur with the same frequency, it is considered a "no mode" data set.