THE ANSWERS ARE GIVEN ON THE LAST PAGE BUT SHOW ALL THE CALCULATIONS AND STEPS.

PROBLEM 1 Find the IQR, variance, and standard deviation for the following sets of scores: a. 12, 3, 8, 5 b. 0.7, 0.5, 0.15, 0.47 c. -3.41, 3.53, 4.5, 4.8 d. 415, 546, 410, 246, 365

PROBLEM 2. The table below shows the number of reported residential burglaries in three counties in WA state during December 2018. a. Which week had the highest number of burglaries across the three counties?

Week	King County	Pierce County	Douglas County
1	15	31	17
2	24	18	2
3	28	24	22
4	37	22	10

b. Which week had the lowest average number of burglaries across the three counties? c. Which county had the highest average number of burglaries per week?

PROBLEM 3. In a Criminology class of 40 students, the scores on the midterm were as follows: CRIM Midterm Scores 83 65 99 77 94 99 66 76 95 79 97 89 91 99 77 87 93 83 60 98 35 96 61 85 38 82 69 99 36 96 96 99 90 59 60 92 37 86 83 81 a. Find the mean, median and mode. b. What values delimit the interquartile range (IQR) in this data set?

Problem 1 IQR S2 S a) 6 15.33 3.92 b) 0.29 0.05 0.23 c) 4.59 15.06 3.88 d) 175 11629.3 107.84

Problem 2 a. Week 3 b. Week 2 c. King County

Problem 3 a. x = 79.67 ; median = 84; mode = 99 b. IQR ==> Q1 = 67.5 and Q3 = 95.5