Diabetes dataset mathematical statistics:
From this we can observe that
1: The median value is 8.4, indicating that approximately half of the data points fall below this value, and half fall above it.
2: The mean is 8.7198, which is slightly higher than the median (8.4). This suggests that the data distribution may be positively skewed.
3: A standard deviation of 1.7946 indicates that the data values tend to be relatively close to the mean on average, but there is still some variability.
4: A positive skewness value (0.9744) indicates that the data distribution is positively skewed, with a tail extending to the right. This confirms the earlier observation that the mean is greater than the median.
5: A kurtosis value of 1.0317 suggests that the data distribution has slightly heavier tails than a normal distribution. This indicates a slightly higher likelihood of extreme values compared to a normal distribution.
The above statistics show that the dataset has a positive skewness (right-skewed) and slightly heavier tails than a normal distribution.