Question

sonequas goal is to have a mean of 92 after her sixth quiz. the data shows her quiz scores: 87, 92, 93, 88, 94. what is the least score that sonequa needs to have a mean of 92? select the correct answer. a) 86 b) 91 c) 98 d) 99

Explanation:

Step1: Recall mean formula

The mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $n$ is the number of data - points and $\sum_{i = 1}^{n}x_{i}$ is the sum of the data - points. Here, $n = 6$ and $\bar{x}=92$, so the sum of all 6 scores should be $S=n\times\bar{x}=6\times92 = 552$.

Step2: Calculate sum of first 5 scores

The sum of the first 5 scores is $87 + 92+93 + 88+94=454$.

Step3: Find the sixth score

Let the sixth score be $x$. Then $454 + x=552$. Solving for $x$, we get $x=552 - 454=98$.

Answer:

C. 98