Leila has scored \( 77,58,90,65 \), and 92 on her previous five tests. What score does she need on her next test so that her average (mean) is 76 ?

To find the score Leila needs on her next test to achieve an average of 76, you can use the formula for the average: \[ \text{Average} = \frac{\text{Sum of all scores}}{\text{Number of scores}} \] Leila has five test scores: \( 77, 58, 90, 65, \) and \( 92 \). First, we calculate the sum of her current scores: \[ 77 + 58 + 90 + 65 + 92 = 382 \] Let \( x \) be the score she needs on her next test. Thus, the equation for her average with the next test included becomes: \[ \frac{382 + x}{6} = 76 \] Now, multiply both sides by 6 to eliminate the fraction: \[ 382 + x = 456 \] Next, subtract 382 from both sides: \[ x = 456 - 382 \] Finally, calculate \( x \): \[ x = 74 \] Leila needs to score **74** on her next test to achieve an average of 76.