Exercise Set Unit I

1.The following set represents the record high temperatures for each of the 50 states. Construct a frequency distribution with 7 classes.

112 100 127 120 134 118 105 110 109 112
110 118 117 116 118 122 114 114 105 109
107 112 114 115 118 117 118 122 106 110
116 108 110 121 113 120 119 111 104 111
120 113 120 117 105 110 118 112 114 114 

2.From your frequency distribution of the temperature data, construct:
(a) Frequency polygon
(b) Histogram (relative frequency)
(c) Ogive

3.The following table shows the number of crimes investigated by law enforcement officers in the U.S. national parks during 1995. Construct a Pareto chart for the data.

Type        Number
Homicide    13
Rape          34
Robbery     29
Assault       164 

4.Make a Stem and Leaf plot for the gas mileage of 2004 midsize cars shown below.

24 28 28 26
14 26 34 24
25 32 27 28
30 28 23 34
29 28 26 26
27 28 27 34
27 28 19 28
29 18 28  25

5.Draw a box and whisker plot for Roger Maris's home run count for his 12 years in the Major Leagues.

5,8,9,13,14,23,16,28,26,39,33,61

6.Find the mean and standard deviation of the number of home runs Barry Bonds hit in his 18 Major League seasons.

16,25,24,19,33,25,34,46,37,33,42,40,37,34,73,46,45,45,

7. Find the median of Barry Bonds 18 home run counts.

8.Find the median of Mark McGwire 16 year count of home runs.

3,9,9,22,29,32,33,32,39,49,42,52,58,70,65,49

9. A teacher gives a 20 point test to 10 students. The scores are shown below. Find the percentile rank of 12 and the z-score for 12.

18,15,12,6,8,2,3,5,20,10