This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
![Given the following baby weights (in kg), construct a grouped frequency distribution and determine the class width: [list of weights]](/_next/image?url=https%3A%2F%2Fohijasnjvprzodcmxltt.supabase.co%2Fstorage%2Fv1%2Fobject%2Fpublic%2Fwhatsapp-images%2F1776939603847-3aa8b3cb52946025.png&w=3840&q=75)
ScanSolve AI Answer
Answer
1.00
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Step 1: Classify the data into a grouped frequency distribution.
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:
Step 2: Find the class width. 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 =
Alternatively, using class boundaries: For the class 0.01 – 1.00, the lower class boundary is and the upper class boundary is . Class width = .
The class width is .
Step 3: For the class 4.01 – 5.00, name the value of: • The class center • The class limit
The class center (or midpoint) is the average of the lower and upper class limits. For the class 4.01 – 5.00: The class center is .
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 .
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This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.