Question

deshaun has scored 99, 93, and 59 on his previous three tests. what score does he need on his next test so that his average (mean) is 83?

Explanation:

Step1: Recall mean formula

The mean formula is $\text{Mean}=\frac{\text{Sum of values}}{\text{Number of values}}$. Let the score on the fourth test be $x$. The sum of the four - test scores is $99 + 93+59 + x$, and the number of values is 4, and the mean is 83. So we have the equation $\frac{99 + 93+59 + x}{4}=83$.

Step2: Simplify the numerator

First, calculate $99 + 93+59=251$. The equation becomes $\frac{251 + x}{4}=83$.

Step3: Solve for $x$

Multiply both sides of the equation by 4: $251 + x=83\times4$. Since $83\times4 = 332$, we have $251+x = 332$. Then subtract 251 from both sides: $x=332 - 251$.

Step4: Calculate the value of $x$

$x = 81$.

Answer:

81