Question

1. analyze and persevere the quiz scores for 6 students who studied together in a math class are shown in the table. a. what is the mean quiz score? b. what is the range of the data?

Explanation:

Step1: Recall mean formula

The mean (average) of a set of data $x_1,x_2,\cdots,x_n$ is given by $\bar{x}=\frac{\sum_{i = 1}^{n}x_i}{n}$, where $n$ is the number of data - points and $\sum_{i=1}^{n}x_i$ is the sum of the data - points. Here $n = 6$.

Step2: Calculate the sum of scores

Since the table with scores is not provided, assume the scores are $x_1,x_2,x_3,x_4,x_5,x_6$. The sum $S=x_1 + x_2+x_3+x_4+x_5+x_6$.

Step3: Calculate the mean

The mean $\bar{x}=\frac{S}{6}$.

For part b:

Step1: Recall range formula

The range of a set of data is the difference between the maximum and the minimum values in the data - set. Let $M=\max\{x_1,x_2,\cdots,x_6\}$ and $m=\min\{x_1,x_2,\cdots,x_6\}$.

Step2: Calculate the range

The range $R = M - m$.

Since the actual scores in the table are not given, we cannot provide numerical answers. But the general steps to find the mean and range are as above.

Answer:

a. The mean quiz score is $\frac{\text{Sum of all 6 scores}}{6}$.
b. The range of the data is $\text{Maximum score}-\text{Minimum score}$.