Exercises

1. For the following sets of data, find the range.
   1. 6, 8, 11, 15, 24, 38 Answer 1a
   2. 11, -6, -2, 16, 9, -8, 17, 19 Answer 1b
   3. 6.4, 3.8, 5.9, 4.7, 5.3, 7.1, 3.2 Answer 1c
2. Imagine that the number of marriages registered over a 10 year period were as follows:
   
   

   Table 1.  Number of registered marriages

   Year	Number of marriages
   1	40,650
   2	40,812
   3	41,300
   4	41,450
   5	39,594
   6	40,734
   7	39,993
   8	38,814
   9	37,828
   10	35,716

   
   Using the information from the above table, find
   1. the range Answer 2a
   2. the median Answer 2b
   3. the upper and lower quartiles Answer 2c
   4. the interquartile range Answer 2d
   5. the five-number summary Answer 2e
3. Listed below are the maximum daily temperatures (in degrees Celsius) in Iqaluit from June 2 to June 16:
   
   2.8, 7.3, 9.6, 8.9, 11.4, 6.7, 5.8, 5.5, 6.7, 6.2, 9.0, 8.2, 7.6, 8.5, 6.7
   1. Find the range. Answer 3a
   2. Calculate the interquartile range. Answer 3b
   3. Calculate the five-number summary. Answer 3c
4. The following table outlines hypothetical numbers of industrial disputes over a ten year period;
   
   

   Table 2.  Number of industrial disputes

   Year	Number of industrial disputes
   1	266
   2	231
   3	223
   4	262
   5	260
   6	230
   7	191
   8	182
   9	165
   10	153

   1. Find the range. Answer 4a
   2. Calculate the interquartile range. Answer 4b
   3. Calculate the five-number summary. Answer 4c
   4. Draw a box and whisker plot for this data. Answer 4d
5. The number of basketball games attended by 50 season ticket-holders were:
   
   15, 10, 17, 11, 15, 12, 13, 16, 12, 14, 14, 16, 15, 18, 11, 16, 13, 17, 12, 16, 18, 15, 17, 15, 19, 13, 14, 17, 16, 15, 12, 11, 17, 16, 15, 10, 14, 15, 13, 16, 18, 15, 17, 11, 14, 17, 15, 14, 13, 16.
   1. Tally the data and present them in a frequency distribution table. Answer 5a
   2. Draw a vertical bar graph. Answer 5b
   3. Calculate the mean, median and mode. Answer 5c
   4. Calculate the variance and standard deviation. Answer 5d
   5. Calculate the interval within which 95% of observations would be expected to occur. Answer 5e
   6. Comment on the spread of the data. Answer 5f