Question

Calculate the weighted mean for the given set of values: {3, 5, 8} with corresponding weights: {2, 3, 5}

a) 6.57
b) 5.67
c) 7.23
d) 4.78

Answer 1

The weighted mean is 6.1. To calculate, multiply each value by its corresponding weight, sum up the products, and divide by the sum of the weights. Option E.

Step-by-step explanation:

To calculate the weighted mean, you need to multiply each value by its corresponding weight and then divide the sum of the products by the sum of the weights.

Here's how you can calculate the weighted mean for the given set of values {3, 5, 8} with corresponding weights {2, 3, 5}:

1. Multiply each value by its corresponding weight:
   3 × 2 = 6
   5 × 3 = 15
   8 × 5 = 40
2. Sum up the products:
   6 + 15 + 40 = 61
3. Sum up the weights:
   2 + 3 + 5 = 10
4. Divide the sum of the products by the sum of the weights:
   61 / 10 = 6.1

Therefore, the weighted mean for the given set of values with corresponding weights is 6.1.

Hence, the right answer is option E. 6.1.

The complete question is:

Calculate the weighted mean for the given set of values: {3, 5, 8} with corresponding weights: {2, 3, 5}

a) 6.57

b) 5.67

c) 7.23

d) 4.78

e) 6.1