2. Obtain and interpret descriptive statistics (Mean, Median, Variance, and Std. Dev.). Include the STATA outputs in your results. (Use Stat command “tabstat crimerat police59, statistics(mean, p50, var, sd)” (3 pts)

. tabstat crimerat police59,statistics (mean, p50, var, sd)

stats | crimerat police59
---------+--------------------
mean | 90.50851 80.23404
p50 | 83.1 73
variance | 1495.854 781.8353
sd | 38.67627 27.96132
------------------------------

To obtain and interpret descriptive statistics in STATA, you can use the "tabstat" command with the desired variables and statistics. In this case, the command is:

tabstat crimerat police59, statistics(mean, p50, var, sd)

The "tabstat" command calculates the mean, median (p50), variance, and standard deviation for the variables "crimerat" and "police59." The "statistics" option specifies which statistics to include in the output.

The resulting STATA output for the descriptive statistics is as follows:

stats | crimerat police59
---------+--------------------
mean | 90.50851 80.23404
p50 | 83.1 73
variance | 1495.854 781.8353
sd | 38.67627 27.96132

Let's interpret the results:

1. Mean: The mean is the average value of the variable. In this case, the mean crimerate is 90.50851, and the mean police59 is 80.23404.

2. Median (p50): The median is the middle value of the variable when it is sorted in ascending order. In this case, the median crimerate is 83.1, and the median police59 is 73.

3. Variance: Variance measures the variability or spread of the variable around the mean. A higher variance indicates more variability. In this case, the variance of crimerate is 1495.854, while the variance of police59 is 781.8353.

4. Standard Deviation: Standard deviation is the square root of the variance. It provides a measure of how spread out the values are. A higher standard deviation indicates greater variability. In this case, the standard deviation of crimerate is 38.67627, and the standard deviation of police59 is 27.96132.

These descriptive statistics provide summary measures of the central tendency (mean/median) and variability (variance/standard deviation) of the variables "crimerat" and "police59."