標準偏差と分散は、
1. 分散(Variance):
- 分散は、
- 分散は各データポイントと平均値との差の2乗を計算し、
- 分散が大きいほどデータのばらつきが大きく、
2. 標準偏差(Standard Deviation):
- 分散がデータポイントと平均値との差の2乗を扱うため、
- 標準偏差はデータの散らばりの程度を直感的に理解しやすくします
例えば、ある試験の点数データを考えると、
Standard deviation and variance are important concepts in statistics for measuring the dispersion and dispersion of data.
1. Variance:
- Variance is a measure of how far each data point in a dataset is from the mean.
- Variance is calculated by calculating the square of the difference between each data point and the mean value, and then taking the mean value.
- A higher variance means more variation in the data, and a lower variance means the data is closer to the mean.
2. Standard Deviation:
- Standard deviation is the square root of the variance.
- The units are different from the original data because the variance deals with the square of the difference between the data points and the mean value. The standard deviation has the same units as the original data.
- Standard deviation makes it easy to intuitively understand the degree of scattering of data.
For example, given test score data, the variance and standard deviation of the data quantify how far the scores deviate from the average, and are useful for evaluating the degree of dispersion in the data. A small standard deviation indicates that the data tends to be concentrated near the mean, whereas a large standard deviation indicates that the data is spread out away from the mean.
(図はネットより借用)
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