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A histogram displays the frequency distribution of a dataset by dividing the range into equal-width bins and counting how many values fall in each bin. It reveals the shape, spread, and central tendency of data.

공식

Bins: define intervals. Frequency: count of values in each bin. Density = Frequency / (Bin Width × Total Count)
Bin width
size of each interval
Frequency
count of data points in bin
Density
normalized frequency (probability per unit width)

단계별 가이드

  1. 1Choose number of bins (Sturges: 1+log₂n)
  2. 2Bin width = (max−min)/bins
  3. 3Count values in each bin
  4. 4Bar height = frequency (or relative frequency)

풀어진 예시

입력
20 test scores, 5 bins
결과
Each bin spans 10 points; reveals normal-like distribution

자주 묻는 질문

How many bins should a histogram have?

Use Sturges' rule (k ≈ 1 + log₂(n)) or √n. Too few bins hide details; too many create noise.

Is a histogram the same as a bar chart?

No. Histograms show continuous data with adjacent bins; bar charts show categorical data with gaps.

What does the area of a histogram bar represent?

The area represents relative frequency (or probability if normalized).

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