Find the arithmetic mean of the following data.

x	6	10	18	24	30	36
f	4	3	4	2	1	1

Correct option is B

Formula Used:

The arithmetic mean for grouped data is given by the formula: 

​$$\bar{x} = \frac{\sum f \cdot x}{\sum f} ​$$​​

Where:

∑f⋅x is the sum of the product of each value of x and its corresponding frequency.

∑f is the sum of the frequencies.

Solution:

Sum the values of f \cdot x and the frequencies f:

\sum f \cdot x = 24 + 30 + 72 + 48 + 30 + 36 = 240

\sum f = 4 + 3 + 4 + 2 + 1 + 1 = 15

Now, the arithmetic mean:

\bar{x} = \frac{240}{15} = 16