12 grade maths others
What is the geometric mean of the data 2, 4, 8, 16, 32 ?
- A: 2
- B: 4
- C: 8
- D: 16
What is the geometric mean of the data 2, 4, 8, 16, 32 ?
- A: 2
- B: 4
- C: 8
- D: 16
1 Answer
Askiitians Tutor Team
Approved Tutor Answer9 Months agoThe geometric mean is a way to find the average of a set of numbers by multiplying them together and then taking the root based on how many numbers there are. For the data set 2, 4, 8, 16, and 32, you can calculate it as follows:
Steps to Calculate the Geometric Mean
- Step 1: Multiply all the numbers together: 2 × 4 × 8 × 16 × 32.
- Step 2: Calculate the product: 2 × 4 = 8, 8 × 8 = 64, 64 × 16 = 1024, 1024 × 32 = 32768.
- Step 3: Since there are 5 numbers, take the 5th root of 32768.
Finding the 5th Root
The 5th root of 32768 is 8, because 8 × 8 × 8 × 8 × 8 = 32768.
Final Answer
Therefore, the geometric mean of the data set 2, 4, 8, 16, and 32 is 8. The correct answer is C: 8.
Other Related Questions on 12 grade maths others
Using first principle, find the derivative of loge x where x ∈ (0, ∞).
Using first principle, find the derivative of loge x where x ∈ (0, ∞).
Grade 1212 grade maths others
Last Activity: 9 Months ago
Find the rank of the matrix A = ⎡ 2 3 7 ⎤
⎣ -2 4 1 ⎦
⎢ -3 -1 ⎥ by reducing into echelon form.
Find the rank of the matrix A = ⎡ 2 3 7 ⎤
⎣ -2 4 1 ⎦
⎢ -3 -1 ⎥ by reducing into echelon form.
Grade 1212 grade maths others
Last Activity: 9 Months ago
For x∈(−1,1)], the number of solutions of the equation arcsin x = 2 arctan is equal to ____.
For x∈(−1,1)], the number of solutions of the equation arcsin x = 2 arctan is equal to ____.
Grade 1212 grade maths others
Last Activity: 9 Months ago
Prove the following: cosA + sinA cosA - sinA - cosA - sinA cosA + sinA = 2 tan 2A
Prove the following: cosA + sinA cosA - sinA - cosA - sinA cosA + sinA = 2 tan 2A
Grade 1212 grade maths others
Last Activity: 9 Months ago
Which of the following is a null set:
- A {0}
- B {x: x > 0 or x < 0}
- C {x: x² = 4 or x = 3}
- D {x: x² + 1 = 0, x ∈ R}
Which of the following is a null set:
- A {0}
- B {x: x > 0 or x < 0}
- C {x: x² = 4 or x = 3}
- D {x: x² + 1 = 0, x ∈ R}
Grade 1212 grade maths others
Last Activity: 9 Months ago