1. Data Collected of Test Scores from Mrs. Mayer’s Class:

Given data### 1. Data Collected of Test Scores from Mrs. Mayer’s Class:

Given
67, 73, 64, 94, 87, 78, 56, 76, 88, 48, 79, 51, 28, 75, 84, 89, 75, 67, 77, 98, 80, 38, 53, 62

a. Finding the Class Width

To calculate the class width, we use the formula:

$\text{Class Width} = \frac{\text{Range}}{\text{Number of Classes}}$

1. Range: The range is the difference between the highest and lowest values in the data set.

$\text{Range} = \text{Max} - \text{Min} = 98 - 28 = 70$

2. Number of Classes: We are asked to create 6 classes.

$\text{Class Width} = \frac{70}{6} \approx 11.67$

We round the class width to the nearest whole number. So the class width is 12.

b. Creating a Relative Frequency Distribution with 6 Classes

We start the first class at the given lower limit of 28 and then add the class width of 12 for the next classes. The table structure is:

Class Limits	Class Boundaries	Tally	Frequency	Relative Frequency (%)
28 - 39	27.5 - 39.5
40 - 51	39.5 - 51.5
52 - 63	51.5 - 63.5
64 - 75	63.5 - 75.5
76 - 87	75.5 - 87.5
88 - 99	87.5 - 99.5

Now, we tally the data### 1. Data Collected of Test Scores from Mrs. Mayer’s Class:

Given
67, 73, 64, 94, 87, 78, 56, 76, 88, 48, 79, 51, 28, 75, 84, 89, 75, 67, 77, 98, 80, 38, 53, 62

a. Finding the Class Width

To calculate the class width, we use the formula:

$\text{Class Width} = \frac{\text{Range}}{\text{Number of Classes}}$

1. Range: The range is the difference between the highest and lowest values in the data set.

$\text{Range} = \text{Max} - \text{Min} = 98 - 28 = 70$

2. Number of Classes: We are asked to create 6 classes.

$\text{Class Width} = \frac{70}{6} \approx 11.67$

We round the class width to the nearest whole number. So the class width is 12.

b. Creating a Relative Frequency Distribution with 6 Classes

We start the first class at the given lower limit of 28 and then add the class width of 12 for the next classes. The table structure is:

Class Limits	Class Boundaries	Tally	Frequency	Relative Frequency (%)
28 - 39	27.5 - 39.5
40 - 51	39.5 - 51.5
52 - 63	51.5 - 63.5
64 - 75	63.5 - 75.5
76 - 87	75.5 - 87.5
88 - 99	87.5 - 99.5

Now, we tally the

Tallying the Data:

• 28 - 39: 28, 38 (2)
• 40 - 51: 48, 51 (2)
• 52 - 63: 56, 53, 62 (3)
• 64 - 75: 67, 64, 73, 75, 75, 67 (6)
• 76 - 87: 78, 76, 84, 87, 79, 80, 77 (7)
• 88 - 99: 94, 88, 98, 89 (4)

Filling in the table:

Class Limits	Class Boundaries	Tally	Frequency	Relative Frequency (%)
28 - 39	27.5 - 39.5