Table 1. The Population: Data for 20 inmates (Hypothetical Data) Height Sentence Length Gun Legalization of Institution ID # Gender Age (in.) (months) Ownership Marijuana Security Level 1 Female 19 61 58 No Strongly agree Minimum-Security 2 Male 24 76 91 Yes Disagree Minimum-Security 3 Male 21 70 55 No Strongly agree Medium-Security 4 Male 17 77 85 Yes Agree High-Security 5 Female 23 64 85 No Strongly disagree Low-security 6 Female 28 71 59 Yes Agree Low-security 7 Male 14 61 95 No Disagree Minimum-Security 8 Male 18 68 81 Yes Strongly agree Maximum-Security 9 Female 26 55 93 No Neutral Medium-Security 10 Male 29 68 75 No Agree Medium-Security 11 Female 17 62 73 Yes Strongly agree Minimum-Security 12 Male 31 82 69 Yes Strongly disagree Maximum-Security 13 Male 26 79 82 No Disagree Minimum-Security 14 Female 27 65 87 No Strongly agree Maximum-Security 15 Male 19 67 72 No Neutral Minimum-Security 16 Female 13 54 97 Yes Agree Minimum-Security 17 Male 17 71 64 No Agree Medium-Security 18 Male 12 69 71 Yes Strongly disagree Minimum-Security 19 Male 24 68 60 Yes Strongly agree High-Security 20 Female 15 72 88 No Agree Low-security5. Using the variables height and sentence length [months 1, calculate the mean, median, variance, and standard deviation for each (38 points). a. Height i. Mean: ii. Median: iii. Mode: iv. Variance: v. Standard Deviation: vi. Shape of the distribution: vii. What is the average height for males? viii. What is the average height for females? ix. Calculate the standard error of height. h. Sentence Length (months) i. Mean: ii. Median: iii. Mode: iv. Variance: v. Standard Deviation: vi. What is the shape of the distribution