{"{0} ÷ {1}":"{0} ÷ {1}","Average calculator":"平均值计算器","Average of the two middle values":"两个中间值的平均值","Cochran's formula, n₀ = z² × p(1 − p) ÷ e², gives the responses needed for a survey proportion to be within the margin of error e at the chosen confidence; 50% is the safe guess for p because it needs the most. For a small population N, the finite population correction n = n₀ ÷ (1 + (n₀ − 1) ÷ N) reduces it. It assumes a random sample; low response rates and biased samples are not fixed by size.":"Cochran公式n₀ = z² × p(1 − p) ÷ e²可计算在选定置信水平下，使调查比例处于误差范围e内所需的答复数；p取50%是稳妥的估计，因为这会得到最大的样本量。对于较小的总体N，有限总体修正公式n = n₀ ÷ (1 + (n₀ − 1) ÷ N)会减少所需样本量。该公式假设采用随机抽样；样本量无法弥补较低的答复率和有偏样本。","Combinations (nCr)":"组合数（nCr）","Combinations with repetition":"可重复组合","Confidence level":"置信水平","Each value counts in proportion to its weight: multiply each value by its weight, add the products, and divide by the total weight. Weights can be credits, hours, percentages that add to 100, or quantities; only their proportions matter.":"每个值按其权重占比计入：将每个值乘以其权重，把乘积相加，再除以权重总和。权重可以是学分、小时数、总和为100的百分比或数量；重要的只是它们之间的比例。","Enter a margin of error between 0 and 50% and a proportion between 0 and 100%.":"请输入介于0和50%之间的误差范围，以及介于0和100%之间的比例。","Enter at least one number.":"请输入至少一个数字。","Enter the same number of values and weights ({0} values, {1} weights).":"请输入数量相同的值和权重（{0}个值，{1}个权重）。","Enter whole numbers from 0 to 5,000.":"请输入0到5,000之间的整数。","Expected proportion (%)":"预期比例（%）","Items can repeat":"项目可以重复","Items chosen (r)":"选取的项目数（r）","Margin of error (±%)":"误差范围（±%）","Mean (average)":"均值（平均值）","Median":"中位数","Mode":"众数","None (no value repeats)":"无（值不重复）","Numbers, separated by commas, spaces, or new lines":"数字之间用逗号、空格或换行分隔","Order does not matter":"顺序无关","Order matters":"顺序有关","Permutation and combination calculator":"排列组合计算器","Permutations (nPr)":"排列数（nPr）","Permutations count ordered arrangements: nPr = n! ÷ (n − r)!, so choosing a gold, silver, and bronze winner from 10 runners gives 720. Combinations ignore order: nCr = n! ÷ (r! (n − r)!), so choosing any 3 of 10 gives 120. With repetition allowed, ordered choices number nʳ and unordered ones C(n + r − 1, r). Results are exact; very large ones are shown in scientific notation.":"排列数计算有序排列：nPr = n! ÷ (n − r)!，因此从10名参赛者中选出金牌、银牌和铜牌得主共有720种。组合数不考虑顺序：nCr = n! ÷ (r! (n − r)!)，因此从10个项目中任选3个共有120种。允许重复时，有序选法数量为nʳ，无序选法数量为C(n + r − 1, r)。结果是精确值；非常大的结果会以科学计数法显示。","Permutations with repetition (nʳ)":"可重复排列（nʳ）","Population size (optional)":"总体规模（可选）","Range":"极差","Responses needed":"所需答复数","Sample size calculator":"样本量计算器","sample; population {0}":"样本；总体{0}","Share of the weight":"权重占比","Simple average, for comparison":"简单平均值，用于比较","Sorted: {0}":"排序后：{0}","Standard deviation":"标准差","The mean adds the numbers and divides by how many there are; the median is the middle value when they are sorted, or the average of the two middle ones; the mode is the value that appears most often. A single very large or small value pulls the mean but not the median, which is why the median often describes incomes and house prices better.":"均值是将数字相加后除以数字个数；中位数是排序后的中间值，或两个中间值的平均值；众数是出现次数最多的值。单个特别大或特别小的值会拉动均值，却不会影响中位数，因此中位数通常更能描述收入和房价。","The middle value":"中间值","Total items (n)":"项目总数（n）","Value":"值","Value × weight":"值×权重","Values (such as grades)":"值（例如成绩）","Weight":"权重","Weighted average":"加权平均值","Weighted average calculator":"加权平均值计算器","Weights (such as credits or percentages)":"权重（例如学分或百分比）","Weights must be zero or more, and not all zero.":"权重必须大于或等于0，且不能全部为0。","Without a population limit":"不设总体规模上限","z for this confidence":"此置信水平对应的z"}