A potato chip manufacturer was having problems with the Weights and Measures inspectors after the inspectors found some bags containing less than the required 42.5 grams (formerly 1.5 ounces) of chips. In response, the manufacturer had increased the weight setting on the bagging machines to 50 grams, but were now over-packing the bags and, consequently, giving away chips. A random sample of bags were taken off the line and the chips in the bags were carefully weighed, as shown in the attached table.

Chip Weights

44.32

48.42

47.86

47.67

49.26

55.06

47.87

45.8

49.22

51.09

49.97

43.39

51.95

47.86

44.85

53.83

48.24

43.64

48.79

54.42

54.66

57.57

48.94

55.33

48.05

52.67

48.55

51.98

48.86

1. The sample mean from the observations is ________________.

2. The sample median from the observations is ______________.

3. The sample mode from the observations is ____________.

4. The sample standard deviation from the observations is ____________.

5. Suppose the population weight is indeed 42.5 gram, then according to the Three Rules of Thumb, the probability to observe the sample mean as calculated above is less than _____________.