To find the mean , median , and mode of a data set, follow these steps:

Mean (Average)

• Add up all the numbers in the data set.
• Divide the total sum by the number of values in the data set.

Formula:

Mean=Sum of all valuesNumber of values\text{Mean}=\frac{\text{Sum of all values}}{\text{Number of values}}Mean=Number of valuesSum of all values​

Example: For data set {1, 2, 3, 4, 5},
Mean = (1 + 2 + 3 + 4 + 5) ÷ 5 = 15 ÷ 5 = 3

Median (Middle Value)

• Arrange the data values in order from smallest to largest.
• If the number of values is odd, the median is the middle number.
• If the number of values is even, the median is the average of the two middle numbers.

Example: For data set {1, 3, 5}, median is 3 (middle value).
For data set {1, 3, 5, 7}, median = (3 + 5) ÷ 2 = 4

Mode (Most Frequent Value)

• Identify the value(s) that occur most frequently in the data set.
• There can be more than one mode if multiple values have the same highest frequency.
• If all values occur equally, there is no mode.

Example: For data set {1, 2, 2, 3, 4}, mode is 2 because it appears most often

. These measures summarize the data by showing typical or common values:

• Mean gives the average.
• Median shows the middle point.
• Mode highlights the most frequent value