Raina has scored \( 17,20,29 \), and 19 points in her four basketball games so far. How many points does she need to score in her next game so that her average (mean) is 23 points per game? points

To find out how many points Raina needs in her next game to achieve an average of 23 points per game, we first calculate the total points she needs after five games. The formula for the average is: \[ \text{average} = \frac{\text{total points}}{\text{number of games}} \] Since she wants an average of 23 points over 5 games, the total points she needs is: \[ 23 \times 5 = 115 \text{ points} \] Next, we calculate the total points she has scored so far: \[ 17 + 20 + 29 + 19 = 85 \text{ points} \] Now, we find out how many points she needs to score in her next game: \[ \text{points needed} = \text{total needed} - \text{points scored} \] \[ \text{points needed} = 115 - 85 = 30 \text{ points} \] Therefore, Raina needs to score \( 30 \) points in her next game to achieve an average of 23 points per game.