Question

1. the students in mrs. lankfords 4th and 6th period algebra classes took the same test. the results of the scores are shown in the following table: based on these data, which class has the larger spread of test scores? explain how you arrived at your answer.

	4th period	6th period
q1	69	71.5
med	76.5	78
q3	87.5	88
min	58	59
max	96	96

Explanation:

Step1: Recall range formula

The range of a data - set is given by $R=\text{max}-\text{min}$.

Step2: Calculate range for 4th period

For the 4th period, $\text{max} = 96$ and $\text{min}=58$. So, $R_1=96 - 58=38$.

Step3: Calculate range for 6th period

For the 6th period, $\text{max} = 96$ and $\text{min}=59$. So, $R_2=96 - 59 = 37$.

Step4: Compare ranges

Since $38>37$, the 4th - period class has a larger spread of test scores.

Answer:

The 4th - period class has the larger spread of test scores. We calculated the range for each class (range = maximum value - minimum value). For the 4th - period class, the range is $96 - 58=38$, and for the 6th - period class, the range is $96 - 59 = 37$. Since $38>37$, the 4th - period class has a larger spread.