Arithmetic Mean Calculation for the Given Data

To calculate the arithmetic mean (also known as the average) from the given data marks obtained by 10 students, follow these steps:

Step 1: List the data marks
30, 62, 47, 25, 52, 39, 56, 66, 12, 24

Step 2: Add all the data marks together
30 + 62 + 47 + 25 + 52 + 39 + 56 + 66 + 12 + 24 = 413

Step 3: Count the number of data marks
There are 10 data marks in total.

Step 4: Divide the sum of the data marks by the number of data marks
413 ÷ 10 = 41.3

Step 5: Interpret the result
The arithmetic mean of the given data marks is 41.3.

Explanation:

Arithmetic mean is a simple measure of central tendency that is calculated by adding up all the data values and dividing the sum by the total number of values. It provides an average value that represents the entire data set.

In this case, we are given the data marks obtained by 10 students: 30, 62, 47, 25, 52, 39, 56, 66, 12, and 24. To find the arithmetic mean, we follow the steps mentioned above.

First, we add up all the data marks: 30 + 62 + 47 + 25 + 52 + 39 + 56 + 66 + 12 + 24 = 413.

Next, we count the number of data marks, which is 10.

Then, we divide the sum of the data marks by the number of data marks: 413 ÷ 10 = 41.3.

The result, 41.3, is the arithmetic mean of the given data marks. It indicates that, on average, the students obtained a score of 41.3.

The arithmetic mean is useful for summarizing data and providing a representative value. However, it can be sensitive to extreme values, also known as outliers. In this case, if there were any unusually high or low marks, they would have an impact on the arithmetic mean.