#1 The numbers of regular season wins for 10 football teams in a given season are given below. Determine therange, mean,variance, and standard deviation of the population data set.

2

7

15

4

12

6

14

10

4

9

#2 Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 69 miles perhour, with a standard deviation of 5 miles per hour. Estimate the percent of vehicles whose speeds are between 59 miles per hour and 79 miles per hour.(Assume the data set has abell-shaped distribution.)

#3 From a sample with n=36, the mean duration of ageyser's eruptions is 3.61 minutes and the standard deviation is 0.59 minutes. UsingChebychev's Theorem, determine at least how many of the eruptions lasted between 1.84 and 5.38 minutes.

#4 The goals scored per game by a soccer team represent the first quartile for all teams in a league. What can you conclude about theteam's goals scored pergame?

#6 The data set below represents the ages of 36 executives. Find the percentile that corresponds to an age of 35 years old.

29

32

32

35

35

36

36

37

39

40

42

43

44

46

47

48

51

52

53

53

53

54

54

56

57

57

58

59

59

60

60

61

61

64

65

66

#7 A certain brand of automobile tire has a mean life span of 34,000 miles and a standard deviation of 2,150 miles.(Assume the life spans of the tires have abell-shaped distribution.)

(A)

The life spans of three randomly selected tires are 35,000 miles, 38,000 miles, and 31,000 miles. Find thez-score that corresponds to each life span.

(B) The life spans of three randomly selected tires are 29,700 miles, 38,300 miles, and 34,000 miles. Using the empiricalrule, find the percentile that corresponds to each life span.

The life span 29,700 miles corresponds to the ___ percentile.

The life span 38,300 miles corresponds to the ___ percentile.

The life span 34,000 miles corresponds to the ___ percentile.