Raina has scored \( 69,87,63,73 \), and 74 on her previous five tests. What score does she need on her next test so that her average (mean)

To find the score Raina needs on her next test to achieve a specific average, we first need to calculate the total score she has from her previous tests and then determine the required total score for the desired average. 1. **Calculate the total score from the previous tests:** \[ 69 + 87 + 63 + 73 + 74 = 366 \] 2. **Let \( x \) be the score Raina needs on her next test.** After this test, she will have taken 6 tests in total. 3. **The formula for the average (mean) is:** \[ \text{Average} = \frac{\text{Total Score}}{\text{Number of Tests}} \] For Raina's case, the average after 6 tests will be: \[ \text{Average} = \frac{366 + x}{6} \] 4. **To find the score needed for a specific average, we set up the equation.** Let's say Raina wants an average of \( A \): \[ \frac{366 + x}{6} = A \] 5. **To solve for \( x \), multiply both sides by 6:** \[ 366 + x = 6A \] 6. **Now, isolate \( x \):** \[ x = 6A - 366 \] Now, you can substitute the desired average \( A \) into the equation to find the score \( x \) that Raina needs on her next test. If you have a specific average in mind, please provide it, and I can calculate the exact score needed.