find the geometric mean of these percent increases 8, 12, 14, 26, and 5
To find the geometric mean of a set of numbers, you need to multiply all the numbers together and then take the nth root, where n is the total number of values.
In this case, we have 5 percent increases: 8%, 12%, 14%, 26%, and 5%.
Step 1: Convert the percent increases to decimal form.
8% = 0.08
12% = 0.12
14% = 0.14
26% = 0.26
5% = 0.05
Step 2: Multiply all the decimal values together.
0.08 * 0.12 * 0.14 * 0.26 * 0.05 = 0.00072576
Step 3: Take the 5th root of the product.
∛0.00072576 ≈ 0.16
So, the geometric mean of these percent increases is approximately 0.16 or 16%.