Question

descriptive statistics. finding the value for a new score that will yield a given mean. jose has scored 73, 66, 71, 72, and 86 on his previous five tests. what score does he need on his next test so that his average (mean) is 74?

Explanation:

Step1: Calculate sum of previous scores

$73 + 66+71 + 72+86=368$

Step2: Let the new - score be $x$. Set up mean formula

The mean of six scores (five previous and one new) is $\frac{368 + x}{6}$, and we want this mean to be 74. So we have the equation $\frac{368 + x}{6}=74$.

Step3: Solve the equation for $x$

Multiply both sides of the equation by 6: $368 + x=74\times6$.
$74\times6 = 444$, so $368+x = 444$.
Subtract 368 from both sides: $x=444 - 368$.
$x = 76$.

Answer:

76