逐步计算描述性统计：均值、中位数、众数、方差、标准差和四分位距，结果即时呈现。
Statistics is the mathematical science of collecting, analyzing, interpreting, and presenting data. Whether you are a student working on a homework assignment, a researcher analyzing experimental results, or a data scientist exploring a dataset, understanding descriptive statistics is the essential first step.
This statistics calculator computes all fundamental descriptive statistics in a single calculation: measures of central tendency (mean, median, mode), measures of spread (range, variance, standard deviation, IQR), and position statistics (Q1, Q3). Every result is accompanied by a detailed step-by-step breakdown so you understand exactly how each value is derived.
Statistical literacy is increasingly vital in today's data-driven world. Medical researchers use standard deviation to quantify variability in clinical trial results. Engineers use it to monitor manufacturing quality. Educators use mean and median to summarize student performance.
Dataset: 4, 8, 15, 16, 23, 42. Sorted: 4, 8, 15, 16, 23, 42. Mean = (4+8+15+16+23+42)/6 = 108/6 = 18. Median = (15+16)/2 = 15.5. No mode (all unique). Range = 42−4 = 38. σ ≈ 12.49 (population), s ≈ 13.68 (sample). Q1 = 8, Q3 = 23, IQR = 15.