mean,median and mode

 Certainly! Mean, median, and mode are all measures of central tendency used to describe the average or typical value of a set of data. Let's define each of these terms with examples:

**Mean:**

The mean, also known as the average, is calculated by adding up all the values in a dataset and then dividing by the total number of values.

**Example:**

Let's say we have a dataset of exam scores: 85, 92, 78, 88, 95. To find the mean:

(85 + 92 + 78 + 88 + 95) / 5 = 87.6

So, the mean exam score is 87.6.

**Median:**

The median is the middle value in a dataset when the values are arranged in ascending or descending order. If there's an odd number of values, the median is the middle one. If there's an even number of values, the median is the average of the two middle values.

**Example:**

Consider the following dataset of ages: 22, 25, 27, 30, 33, 35. To find the median:

Arranging the values in ascending order: 22, 25, 27, 30, 33, 35.

Since there are six values (an even number), the median is the average of the middle two values, which are 27 and 30.

(27 + 30) / 2 = 28.5

So, the median age is 28.5.

**Mode:**

The mode is the value that appears most frequently in a dataset. A dataset can have no mode (when all values occur equally) or multiple modes (when multiple values occur with the same highest frequency).

**Example:**

Consider the following dataset of test scores: 78, 85, 92, 78, 88, 85, 95. To find the mode:

The value 78 appears twice, the value 85 appears twice, and the value 92 appears once. Therefore, the modes are 78 and 85 since they occur most frequently.

So, the modes of the test scores are 78 and 85.

In summary:

- Mean: Calculated by adding up all values and dividing by the total number of values.

- Median: The middle value when values are arranged in order.

- Mode: The value(s) that appear most frequently.

These measures help provide insight into the central tendency of a dataset and are useful for summarizing data.