Question

A ______________ is an average in which some values carry more importance than others. To find this average, multiply each data value by its weight and divide by the sum of the weights.

Answer 1

A weighted mean is an average in which some values carry more importance than others. To find this average, you multiply each data value by its weight and divide by the sum of the weights.

Step-by-step explanation:

The subject of this question is the weighted mean. A weighted mean is an average in which some values carry more importance than others. To find this average, you multiply each data value by its weight and divide by the sum of the weights.

For example, let's say you have three test scores: 85, 90, and 95. The weights assigned to these scores are 2, 3, and 4 respectively. To calculate the weighted mean, you would multiply each score by its weight: 85 x 2 = 170, 90 x 3 = 270, 95 x 4 = 380. Then, you add up these values: 170 + 270 + 380 = 820. Finally, you divide the sum by the sum of the weights: 820 / (2 + 3 + 4) = 102.5. So the weighted mean of these test scores is 102.5.