Question

question 2
here is a data set:
table of data values
the goal is to construct a grouped frequency distribution table (gfdt) for this data set. the gfdt should have 10 classes with a
ice\ class width. each class should contain its lower class limit, and the lower class limits should all be multiples of the class width.
this problem is to determine what the class width and the first lower class limit should be.
what is the best class width for this data set?
optimal class width =
what should be the first lower class limit?
1st lower class limit =
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Explanation:

Step1: Find min and max values

Min = 479, Max = 721

Step2: Calculate range

Range = $721 - 479 = 242$

Step3: Estimate initial class width

Initial width = $\frac{242}{10} = 24.2$

Step4: Round to "nice" width

Round 24.2 to nearest multiple-friendly number: 25

Step5: Find first lower class limit

Choose largest multiple of 25 ≤ 479: $25 \times 19 = 475$

Answer:

optimal class width = 25
1st lower class limit = 475