Question

Calculate the geometric mean of 10,110,135,120,50,59,60,7

Answer 1

Answer:

67.625

Explanation:

mean=sum of terms/number of numbers

=10+110+135+120+50+59+60+7/8

= 541/8

=67.625

Answer 2

Answer:

The geometric mean of 10,110,135,120,50,59,60,7 is  46.558328021.

Explanation:

• Geometric Mean (GM) is the average value which signifies the central tendency of the set of numbers.
• To calculate  Geometric Mean,  we multiply the numbers altogether and then take the nth root of the multiplied numbers, where n is the total number of data of a given series.
• For example: If a given set of two numbers such as 2 and 1, the geometric mean is equal to √(2×1) = √2 = 1.414.
• The geometric mean can be defined as the nth root of the product of n numbers of a the given series.
• The Geometric Mean (G.M) of a series containing n observations is the nth root of the product of the values.

So, GM for the series 10,110,135,120,50,59,60,7

=$\sqrt[8]{10*110*135*120*50*59*60*7}$

=$\sqrt[8]{22078980000000}$ = 46.558328021

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