Also known as the degree of dispersion, this is a statistic that indicates the degree of dispersion of data. Commonly used terms include variance, standard deviation, and coefficient of variation. Variance is the sum of the squared differences between each piece of data and the mean, and the smaller this value is, the smaller the dispersion. To see the degree of dispersion in the same units as the data, you can use the standard deviation, which is the positive square root of the variance. Since variance and standard deviation tend to increase as the mean value increases, the coefficient of variation, which is the standard deviation divided by the mean, is used to compare the degree of dispersion between data in different units or between data with significantly different central position values. The smaller the coefficient of variation, the smaller the degree of dispersion. Source: Encyclopaedia Britannica Concise Encyclopedia About Encyclopaedia Britannica Concise Encyclopedia Information |
分散度ともいい,データの散らばりの程度を示す統計量。分散,標準偏差,変動計数などがよく用いられる。分散は,各データと平均値の差を2乗したものの総和でありその値が小さいほど散らばりは小さい。またデータと同一の単位で散らばり具合を見るためには,分散の正の平方根である標準偏差を用いればよい。分散や標準偏差は,平均値が大きくなるほど大きくなる傾向があるため,単位の異なるデータの間や,中心位置の値が大きく異なるデータの間で散らばり具合を比較するには,標準偏差を平均値で割った値である変動係数が用いられる。変動係数も,値が小さいほど散らばり具合は小さい。
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