Answers

Note: There are several ways to calculate quartiles. If you are using SAS or EXCEL software, the results for these exercises may vary from the answers provided here.

1.  
   1. 32 Return to question 1a
   2. 27 Return to question 1b
   3. 3.9 Return to question 1c
2.  
   1. 5,734 Return to question 2a
   2. 40,321.5 Return to question 2b
   3. Q₁ = 38,814 Q₃ = 40,812 Return to question 2c
   4. 1,998 Return to question 2d
   5. 35,716, 38,814, 40,321.5, 40,812, 41,450 Return to question 2e
3.  
   1. 8.6 Return to question 3a
   2. 2.7 Return to question 3b
   3. 2.8, 6.2, 7.3, 8.9, 11.4 Return to question 3c
4.  
   1. 113 Return to question 4a
   2. 78 Return to question 4b
   3. 153, 182, 226.5, 260, 266 Return to question 4c
   4.  
      
      Return to question 4d
5.  
   1.  

      Table 1.  Number of basketball games attended by season ticket-holders

      Number of matches (x)	Tally	Frequency (f)
      10		2
      11		4
      12		4
      13		5
      14		6
      15		10
      16		8
      17		7
      18		3
      19		1
      		50

      Return to question 5a
      
      
   2.  
      
      Return to question 5b
      
      
   3. mean = 14.62, median = 15, mode = 15 Return to question 5c
   4. S² = 4.96, S = 2.23 Return to question 5d
   5. 10.16 < x < 19.08 Return to question 5e
   6. The standard deviation is quite low, which indicates that the data is not widely spread about the mean. The mean and median are very close together, which indicates that the data are roughly symmetrical. Return to question 5f