Question

A basketball team played 20 games. The team's mean score was 42 points. How many total points in the 20 games?

Answer 1

the total in the 20 games is 840 points

Step-by-step explanation

The mean is the mathematical average of a set of two or more numbers, it can be found by using the formula:

`mean=\frac{sum\text{ of all data points}}{number\text{ of items}}`

so

Step 1

a) let

`\begin{gathered} number\text{ of items=20 \lparen 20 games\rparen} \\ mean\text{ = 42 \lparen points\rparen} \end{gathered}`

b) now, replace and solve for( sum of all data points)

hence

`\begin{gathered} mean=\frac{sum\text{ of all data points}}{number\text{ of items}} \\ 42=\frac{sum\text{ of data points}}{20\text{ }} \\ Multiply\text{ both sides by 20} \\ 42*20=\frac{sum\text{ofdatapo}\imaginaryI\text{nts}}{20}*20 \\ 840=sum\text{ of data poinsts} \end{gathered}`

therefore, the total in the 20 games is 840 points

I hope this helps you