Question

here is a data set:
206 203 108 136
112 107 170 53
171 197 171 185
122 216 113 95
140 166 257 183
137 297 133 144
160 192 163 221

construct a grouped frequency distribution table (gfdt) for this data set. you want 10 classes with a
ice\ class width. your classes should be labeled using interval notation. each class contains its lower class limit, and the lower class limits should all be multiples of the class width. in that the data appears to be discrete, use a closed-interval to label each class.

data range | frequency
--- | ---

Explanation:

Step1: Find min, max, range

Min = 53, Max = 297
Range = $297 - 53 = 244$

Step2: Calculate class width

Target classes = 10. Round up range/10 to "nice" number: $\lceil\frac{244}{10}
ceil = 25$ (nice multiple)

Step3: Set first lower limit

Choose lowest multiple of 24 (wait, no, 25: lowest multiple of 25 ≤ 53 is 50)
First class: [50, 74] (since 50+24=74, discrete closed interval)

Step4: List all 10 classes

Each class: [lower, lower+24], lower increases by 25 each time

Step5: Tally frequencies

Count data points in each interval

Answer:

Data range	Frequency
[75, 99]	2
[100, 124]	4
[125, 149]	5
[150, 174]	7
[175, 199]	4
[200, 224]	4
[225, 249]	0
[250, 274]	1
[275, 299]	1