1.
The mode of a variable data is the value that occurs for a maximum number of times in the variable data. In other words, it is a value that occurs more often than any other value. As observed from the summary statistics table above, the mode value is 1, suggesting that the value label ‘House’ is the most frequently occurring value in the sampled data for the variable HOME. The frequency of ‘House’ is 280 or approx. 81.6% of the total sampled values.
Further, as evident from the skewness and kurtosis factors, the sample data does not have an approximately normal distribution. The shape of the distribution, as such, is asymmetric and is skewed to the right (i.e. has positive skewness).
2.
As observed from the summary statistics table above, the mode value is 0, suggesting that the most frequently occurring value in the sampled data for the variable ARREST is ‘0’. In other words, a maximum proportion of the sampled persons have a record of ‘zero’ arrests. The frequency of ‘0’ arrests is 243 or approx. 70.8% of the total sampled values.
Again, as evident from the ‘significantly high’ values of skewness and kurtosis factors, it the sample data does not have an approximately normal distribution. The shape of the distribution, as such, is asymmetric and is ‘heavily’ skewed to the right (i.e. has positive skewness).
3.
In case, each of the variables (HOME and ARREST) is not normally distributed, the variable data cannot be used to perform any statistical tests, or as such, draw any reliable conclusions using the descriptive summary for the sample data or for the general population (in concern). Moreover, the techniques of statistical inference cannot be used in such cases as it is very likely that the sample data is not a true representation of the broader population and thus, can lead to wrong interpretations of results.
