reading tests are compared for two students. sara got 98, 100, 65, 78, 98, 46, 100, 100, 45, and 50 on her…

reading tests are compared for two students. sara got 98, 100, 65, 78, 98, 46, 100, 100, 45, and 50 on her reading test. lee got 97, 67, 89, 99, 100, 45, 79, 89, 58, and 67 on his reading test. what is the mean of saras reading test? what is the mean of lees reading test?
Answer
Explanation:
Step1: Recall mean formula
The mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $x_{i}$ are data - points and $n$ is the number of data - points.
Step2: Calculate sum and $n$ for Sara
For Sara, $n = 10$, and $\sum_{i=1}^{10}x_{i}=98 + 100+65 + 78+98+46+100+100+45+50=780$. Then, $\bar{x}_{Sara}=\frac{780}{10}=78$.
Step3: Calculate sum and $n$ for Lee
For Lee, $n = 10$, and $\sum_{i = 1}^{10}x_{i}=97+67+89+99+100+45+79+89+58+67 = 790$. Then, $\bar{x}_{Lee}=\frac{790}{10}=79$.
Answer:
Sara's mean: 78 Lee's mean: 79