Question

Find the Value of AM for the following data: 12, 18
15, 22,16,19, 33, 45, 15, 18​

Answer 1

ANSWER:

Given:

• Data - 12, 18, 15, 22, 16, 19, 33, 45, 15, 18​

To Find:

• Arithmetic Mean

Solution:

$\text{\sf{We know that,}}\\\\:\longrightarrow \sf{Arithmetic \:Mean = \dfrac{\text{Sum of all observations}}{\text{Total no. of observations}}}\\\\:\implies \sf{Arithmetic \:Mean = \dfrac{(12 + 18 + 15 + 22 + 16 + 19 + 33 + 45 + 15 + 18)}{10}} \\\\:\implies \sf{Arithmetic \:Mean = \dfrac{(30 + 37 + 35 + 78 + 33)}{10}} \\\\:\implies \sf{Arithmetic \:Mean = \dfrac{(67 + 113 + 33)}{10}} \\\\:\implies \sf{Arithmetic \:Mean = \dfrac{213}{10}}\\\\\bf{:\implies Arithmetic \:Mean = 21.3}$

Formula Used:

• Arithmetic Mean = (Sum of all observations)/(Total no.of observations)

Important Point:

• Mistakes can be reduced by adding small amount of numbers instead of all at once.

Learn More:

• Arithmetic Mean is also called as average and mean.