Question

A social scientist measures the number of minutes (per day) that a small hypothetical population of college students spends online. Student Score Student Score A 31 F 86 B 95 G 55 C 99 H 86 D 92 I 99 E 83 J 74 (a) What is the range of data in this population? Correct: Your answer is correct. min (b) What is the IQR of data in this population? Correct: Your answer is correct. min (c) What is the SIQR of data in this population? Correct: Your answer is correct. min (d) What is the population variance? (e) What is the population standard deviation? (Round your answer to two decimal places.) min

Answer 1

By writing the scores in ascending order

31, 55, 74, 83, 86, 86, 92, 95, 99, 99

a) Range = 99 - 31 = 68

b) Median = (86 + 86)/2 = 86

Q1 = 74

Q3 = 95

IQR = Q3 - Q1 = 95 - 74 = 21

c) SIQR = 21/2 = 10.5

d) = (31 + 55 + 74 + 83 + 86 + 86 + 92 + 95 + 99 + 99)/10 = 80

= ((31 - 80)^2 + (55 - 80)^2 + (74 - 80)^2 + (83 - 80)^2 + (86 - 80)^2 + (86 - 80)^2 + (92 - 80)^2 + (95 - 80)^2 + (99 - 80)^2 + (99 - 80)^2)/10 = 423.4

= = 20.58