Calculate the arithmetic mean for the following data by using the two methods of Arithmetic mean for Discrete Series:

To calculate the arithmetic mean for the given data using the two methods of arithmetic mean for discrete series, we will follow these steps:

Method 1: Direct Method

In this method, we directly multiply each value with its corresponding frequency and then sum up these products. Then, we divide the sum by the total frequency to get the arithmetic mean.

Given data:
Marks: 10, 20, 30, 40, 50, 60, 70, 80
No. of students: 8, 21, 23, 17, 15, 9, 5, 2

Step 1: Multiply each value with its corresponding frequency.
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