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Coursework 4.8

Data Validation and Descriptive Statistical Analysis

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descriptive statistics data validation statistical analysis central tendency variability

Descriptive Statistical Analysis of Hug Days Variable

Data Type: di.hugdays

Level of Data: Ratio

  • Minimum value: 0
  • Maximum value: 14
  • Range: 14
  • Mean: 8.648
  • Median: 9
  • Variance: 22.298
  • Standard deviation: 4.722
  • Skewness: -0.445
  • Kurtosis: -1.141
  • Standard error of the mean: 0.234

Interpretation of Distributional Characteristics and Central Tendencies

The variable di.hugdays represents ratio-level data, allowing for a full range of statistical analysis, including measures of central tendency and dispersion. The mean value of 8.648 and median of 9 indicate that, on average, participants reported approximately nine days of hugging within the observed period. The close proximity between the mean and median suggests a relatively symmetrical distribution.

The standard deviation of 4.722 and variance of 22.298 indicate a moderate level of variability in the number of hug days reported by participants. This suggests that while some individuals reported very few days, others reported frequent occurrences, contributing to the spread of the data.

The skewness value of -0.445 indicates a slight negative skew, meaning that a small number of participants reported higher values, slightly pulling the distribution toward the left. However, the skewness is not strong, suggesting that the distribution remains fairly balanced.

The kurtosis value of -1.141 suggests a platykurtic distribution, meaning the data are relatively flatter compared to a normal distribution, with fewer extreme values or outliers. Overall, the distribution of hug days appears to be moderately spread, slightly negatively skewed, and relatively stable without extreme deviations.

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