Applied Statistics

Assignments are due by 11:59 pm on the due date. Use jamovi to complete the homework. Save your jamovi file (it should have extension .omv) and upload it using the usual method (see link above).

Download and open the following CSV file in jamovi:

The file contains the scores of players that played in games called game \(X\) and game \(Y\). Use jamovi to answer the following questions.

Problems

1. For each game \(X\) and \(Y\), find the following statistics:
   1. number of data points \(N\)
   2. minimum value
   3. maximum value
   4. mean
   5. median
   6. mode
   7. range
   8. \(Q_1\)
   9. \(Q_2\)
   10. \(Q_3\)
   11. IQR
   12. variance
   13. standard deviation
   14. skewness
2. Create a new computed variable called X.z.scores and Y.z.scores containing the z-scores of games \(X\) and \(Y\), respectively.
3. For both of the z-scores variables, find all of the statistics as done for \(X\) and \(Y\).
4. Based on the z-scores, which of the scores \(X\) or \(Y\) are more tightly concentrated around the median?
5. Consider the \(X\) score with \(\text{ID} = 16\) and the \(Y\) score with \(\text{ID} = 5\). Which player of the two performed better relative to the players that played the same game? Why?