To create a grouped frequency table with six classes, we'll follow these steps:

Step 1: Organize the Data

First, let's combine and organize all the dataTo create a grouped frequency table with six classes, we'll follow these steps:

Step 1: Organize the Data

First, let's combine and organize all the

Data Set:

15, 23, 17, 13, 3, 9, 7, 6, 8, 11,
16, 32, 27, 4, 20, 3, 28, 5, 6, 11,
20, 12, 8, 10, 25, 10, 8, 15, 11, 9.

Step 2: Determine the Range of Data

• Minimum value: 3
• Maximum value: 32

Range = Maximum value - Minimum value = 32 - 3 = 29

Step 3: Determine the Class Width

We will divide the data into 6 classes. To find the class width, we divide the range by the number of classes and round up if necessary.

Class width $= \frac{\text{Range}}{\text{Number of classes}} = \frac{29}{6} \approx 4.83$

We round this up to 5.

Step 4: Set Class Limits

We will create six classes with width 5, starting from the minimum value 3.

Class Limits	Class Boundaries	Midpoint
3 - 7	2.5 - 7.5	5
8 - 12	7.5 - 12.5	10
13 - 17	12.5 - 17.5	15
18 - 22	17.5 - 22.5	20
23 - 27	22.5 - 27.5	25
28 - 32	27.5 - 32.5	30

Step 5: Calculate Frequencies

Now we will count how many data points fall within each class:

• Class 3 - 7: $3, 3, 7, 6, 6, 5$ → Frequency = 6
• Class 8 - 12: ( 9, 8, 11, 11, 10,