Chang has scored \( 38,26,22,28 \), and 26 points in his five basketball games so far. How many points does he need to score in his next game so that his average (mean) is 27 points per game?

To find out how many points Chang needs to score in his next game to achieve an average of 27 points per game, we first calculate his current total points and then use that to set up an equation for the required score. First, let's sum his current scores: \[ 38 + 26 + 22 + 28 + 26 = 140 \] Now, if Chang scores \( x \) points in his next game, his total points will be \( 140 + x \) and he will have played 6 games. To achieve an average of 27 points per game, we set up the equation: \[ \frac{140 + x}{6} = 27 \] Now multiply both sides by 6: \[ 140 + x = 162 \] Subtracting 140 from both sides gives: \[ x = 22 \] Therefore, Chang needs to score **22 points** in his next game to have an average of 27 points per game.