Question

Find the arithmetic mean of the following numbers: 46, 65, 86, 41, 56, 77, 35, 91, 54, 94, 30

• A. 54
• B. 56
• C. 61.36
• D. 77

Hint:

The arithmetic mean is simply the sum of the numbers divided by the total count of numbers.

Answer 1

The Correct Option is B

The arithmetic mean (A.M.) of \( n \) numbers is given by the formula: \[ \text{A.M.} = \frac{\text{Sum of terms}}{n} \] The given numbers are: \[ 46, 65, 86, 41, 56, 77, 35, 91, 54, 94, 30 \] The sum of these numbers is: \[ 46 + 65 + 86 + 41 + 56 + 77 + 35 + 91 + 54 + 94 + 30 = 625 \] Now, the number of terms is 11, so the mean is: \[ \text{A.M.} = \frac{625}{11} \approx 56.36 \]