a book has 13 chapters. the mean length of the chapters is 43 pages. how many total pages are there in the…

a book has 13 chapters. the mean length of the chapters is 43 pages. how many total pages are there in the 13 chapters?

a book has 13 chapters. the mean length of the chapters is 43 pages. how many total pages are there in the 13 chapters?

Answer

Explanation:

Step1: Recall mean - total relationship

The formula for the mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $\bar{x}$ is the mean, $n$ is the number of data - points, and $\sum_{i = 1}^{n}x_{i}$ is the sum of the data - points. We want to find $\sum_{i = 1}^{n}x_{i}$, and we know that $\bar{x}=43$ and $n = 13$.

Step2: Rearrange the formula

We can rewrite the formula as $\sum_{i = 1}^{n}x_{i}=\bar{x}\times n$.

Step3: Calculate the total

Substitute $\bar{x}=43$ and $n = 13$ into the formula: $43\times13 = 559$.

Answer:

559