Can the geometric mean of two positive numbers be negative?

Hence, a geometric mean cannot be negative because we can only use the formula of geometric mean for positive numbers.

Does geometric mean have to be positive?

The geometric mean applies only to positive numbers. The geometric mean is often used for a set of numbers whose values are meant to be multiplied together or are exponential in nature, such as a set of growth figures: values of the human population or interest rates of a financial investment over time.

Can the geometric mean be negative?

Like zero, it is impossible to calculate Geometric Mean with negative numbers. However, there are several work-arounds for this problem, all of which require that the negative values be converted or transformed to a meaningful positive equivalent value.

What is the geometric mean of two negative numbers?

The geometric mean between two negative terms will be a negative term. Suppose we have -4 , -16 and -64. The GM of -4 and -64 = (256)^0.5 = -16. One of the square roots of 256 is 16, however, that value cannot be accepted in the present case and we have to accept the negative answer or -16.

What is the geometric mean between two numbers if A and B are negative?

if a and b are negative. (Definition 4 The geometric mean is the positive square root of the product of two numbers. (Definition 5) The geometric mean of two numbers, a and b, is the length of one side of a square whose area is equal to the area of a rectangle with sides of lengths a and b.

What does a negative mean value mean?

In short, yes, a negative mean value is feasible with a curve which is normally distributed. It simply means that the values and frequency for the data you are analyzing had enough negative values that the mean was negative. It could simply be that your data had more negatively valued observations than positive.

What is the geometric mean of two numbers?

square root
To find the geometric mean of two numbers, just find the product of those numbers and take the square root!

How do you find the geometric mean of a negative number?

How to calculate the geometric mean of a series with negative numbers – Quora. The geometric mean can be of two numbers and not of a series. Say the GP is 8, 16, 32. The geometric mean of 8 and 32 = (8*32)^0.5 = 256^0.5 = 16.

What is geometric mean between two numbers A and B?

(Definition 5) The geometric mean of two numbers, a and b, is the length of one side of a square whose area is equal to the area of a rectangle with sides of lengths a and b.

What is the geometric mean of 3 and 1?

For example: for a given set of two numbers such as 3 and 1, the geometric mean is equal to √ (3×1) = √3 = 1.732. In other words, the geometric mean is defined as the nth root of the product of n numbers.

What is the difference between arithmetic mean and geometric mean?

Because, in arithmetic mean, we add the data values and then divide it by the total number of values. But in geometric mean, we multiply the given data values and then take the root with the radical index for the total number of data values.

What is the geometric mean of a data set?

The geometric mean of a data set is less than the data set’s arithmetic mean unless all members of the data set are equal, in which case the geometric and arithmetic means are equal. This allows the definition of the arithmetic-geometric mean, an intersection of the two which always lies in between.

How do you find the geometric mean of 19500?

To calculate the geometric mean, we take their product instead: 1 x 5 x 10 x 13 x 30 = 19,500 and then calculate the 5-th root of 19,500 = 7.21. This is equivalent to raising 19,500 to the 1/5-th power.