1.

Find the Value of AM for the following data: 12, 1815, 22,16,19, 33, 45, 15, 18​

Answer»

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{<klux>SUM</klux> 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.


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