Given the following baby weights (in kg), construct a grouped frequency distribution and determine the class width: [list of weights]

First, list the given baby weights:
2.57, 4.21, 1.05, 3.06, 4.50, 5.05, 3.45, 0.92
3.12, 2.87, 0.76, 4.18, 5.93, 4.18, 2.03, 0.57, 1.85
4.16, 3.41, 1.86, 2.53, 1.48, 3.85, 5.12, 3.24, 1.89
2.51, 0.93, 1.24, 3.21, 5.86, 3.57, 2.18, 4.29, 3.30
0.91, 0.82, 1.47, 4.25, 3.81, 2.48, 1.27, 5.35, 3.33

The classes are: 0.01 – 1.00, 1.01 – 2.00, 2.01 – 3.00, 3.01 – 4.00, 4.01 – 5.00, 5.01 – 6.00.

Now, count the frequency for each class:

• Class 0.01 – 1.00: 0.92, 0.76, 0.57, 0.93, 0.91, 0.82 (Frequency = 6)
• Class 1.01 – 2.00: 1.05, 1.85, 1.86, 1.48, 1.89, 1.24, 1.47, 1.27 (Frequency = 8)
• Class 2.01 – 3.00: 2.57, 2.87, 2.03, 2.53, 2.51, 2.18, 2.48 (Frequency = 7)
• Class 3.01 – 4.00: 3.06, 3.45, 3.12, 3.41, 3.85, 3.24, 3.21, 3.57, 3.30, 3.81, 3.33 (Frequency = 11)
• Class 4.01 – 5.00: 4.21, 4.50, 4.18, 4.18, 4.16, 4.29, 4.25 (Frequency = 7)
• Class 5.01 – 6.00: 5.05, 5.93, 5.12, 5.86, 5.35 (Frequency = 5)

The grouped frequency distribution is:

$$\begin{array}{|c|c|} \hline \textbf{Class (Weight in kg)} & \textbf{Frequency} \\ \hline 0.01 - 1.00 & 6 \\ 1.01 - 2.00 & 8 \\ 2.01 - 3.00 & 7 \\ 3.01 - 4.00 & 11 \\ 4.01 - 5.00 & 7 \\ 5.01 - 6.00 & 5 \\ \hline \textbf{Total} & \textbf{44} \\ \hline \end{array}$$

The class width is the difference between consecutive lower class limits (or upper class limits).
Using the first two classes:
Lower limit of the second class = 1.01
Lower limit of the first class = 0.01
Class width = $1.01 - 0.01 = 1.00$

Alternatively, using class boundaries:
For the class 0.01 – 1.00, the lower class boundary is $0.01 - 0.005 = 0.005$ and the upper class boundary is $1.00 + 0.005 = 1.005$.
Class width = $1.005 - 0.005 = 1.00$.

The class width is $\boxed{\text{1.00}}$.

• The class center
• The class limit

• The class center (or midpoint) is the average of the lower and upper class limits.

  $$\text{Class Center} = \frac{\text{Lower Class Limit} + \text{Upper Class Limit}}{2}$$

  For the class 4.01 – 5.00:

  $$\text{Class Center} = \frac{4.01 + 5.00}{2} = \frac{9.01}{2} = 4.505$$

  The class center is $\boxed{\text{4.505}}$.

• The class limits are the smallest and largest values that can belong to the class. For the class 4.01 – 5.00, the class limits are 4.01 and 5.00. The class limits are $\boxed{\text{4.01 and 5.00}}$.