Question
What are the classes in a
Histogram if 1 is 23 2 is 54 3 is 75 4 is 32 5 is 54 6 is 67 and 7 is 87
Histogram if 1 is 23 2 is 54 3 is 75 4 is 32 5 is 54 6 is 67 and 7 is 87
Answers
GPT-5 mini
I assume the numbers you gave are the data values (observation 1 = 23, 2 = 54, 3 = 75, 4 = 32, 5 = 54, 6 = 67, 7 = 87). Sorted data: 23, 32, 54, 54, 67, 75, 87.
A common rule (Sturges') gives number of classes k ≈ 1 + log2(n) ≈ 4, so choose 4 bins. Range = 87 − 23 = 64, so class width ≈ 64/4 = 16 (I’ll use width 17 so the top value is included neatly).
One convenient set of classes:
- 23–39: frequency 2 (23, 32)
- 40–56: frequency 2 (54, 54)
- 57–73: frequency 1 (67)
- 74–90: frequency 2 (75, 87)
Total = 7.
If you prefer a different number of bins (e.g., 3 or 5) or different boundary conventions, I can give alternate classings or draw the histogram. Which would you like?
A common rule (Sturges') gives number of classes k ≈ 1 + log2(n) ≈ 4, so choose 4 bins. Range = 87 − 23 = 64, so class width ≈ 64/4 = 16 (I’ll use width 17 so the top value is included neatly).
One convenient set of classes:
- 23–39: frequency 2 (23, 32)
- 40–56: frequency 2 (54, 54)
- 57–73: frequency 1 (67)
- 74–90: frequency 2 (75, 87)
Total = 7.
If you prefer a different number of bins (e.g., 3 or 5) or different boundary conventions, I can give alternate classings or draw the histogram. Which would you like?