max is analyzing the test scores he earned in his biology class. the class had 7 tests, on which he scored…

Explanation:

Step1: Calculate the mean

The formula for the mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $x_{i}$ are the data - points and $n$ is the number of data - points. Here, $n = 7$, and the data set is ${78,85,88,88,90,93,97}$. $\sum_{i=1}^{7}x_{i}=78 + 85+88+88+90+93+97=629$. So, $\bar{x}=\frac{629}{7}\approx89.86$.

Step2: Calculate the median

First, order the data set: ${78,85,88,88,90,93,97}$. Since $n = 7$ (an odd number), the median is the $\left(\frac{n + 1}{2}\right)$-th value. $\frac{7+1}{2}=4$-th value. So the median is 88.

Step3: Calculate the mode

The mode is the value that appears most frequently in the data set. In the set ${78,85,88,88,90,93,97}$, the number 88 appears twice and the other numbers appear once. So the mode is 88.

Answer:

Mean: $\approx89.86$ Median: 88 Mode: 88