# Task 1: The following data are the midterm grades for the Fall

Task 1: The following data are the midterm grades for the Fall 2020 and Fall 2021 Statistics courses. These data will serve as the population. In complete and concise sentences:

Discuss the populations or samples.

Find and summarize the measures of central tendency for both populations or samples.

Find and summarize the measure of variability for both populations or samples. In your summary interpret the findings.

What are the means (μ) and standard deviations (σ)? Explain the process of how you arrived at your answer and interpret your findings.

Explain the comparison of the midterm scores from both populations or samples with the average midterm score of the Fall 2020 Statistics course by using z-scores.

Based on last week’s learning, present the data in a graph.

Create a normal distribution, that includes the population mean, and locate your z-score (In the system, you will be able to make two submissions, you can draw or create this distribution in a software program and upload to blackboard). Discuss the skewness and tell me what it means based on your interpretation of the shape of the distribution.

In complete sentences, determine which class had the best grade at midterm.

90

76

94

94

96

88

92

62

94

92

78

82

74

82

90

96

92

70

68

78

80

96

92

63

90

0

92

92

94

56

0

69

69

73

73

73

77

77

77

81

81

81

85

85

89

92

92

92

92

89

92

92

96

96

96

100

100

100

73

100

Task 2: The Centers for Disease Control & Prevention in Maryland reports that the mean weight (in pounds) for adult males aged 20 years and over is µ = 195 and µ = 166 for adult females aged 20 year and over. Assume that this distribution is normal in shape and the standard deviation is 30 (for males) and is 25 (for females), respectively. Find the z score for your weight. In complete and concise summative statements, answer the following: do you weight more or less than the average person in the state of Maryland? In your response, document your process for arriving at your response.