Construct a new variable J such that J = 1 + 2* X . Mean and standard deviation
ID: 3232784 • Letter: C
Question
Construct a new variable J such that J = 1 + 2*X. Mean and standard deviation of J are _____ and _____ respectively.
A 5.568, 11.400
B 11.400, 5.568
C 2.784, 7.200
D 7.200, 2.784
Person ID 10 11 12 13 14 16 17 18 19 20 21 22 23 24 Arithmetic mean Standard deviation Group 157.90 100 163.90 Manager 156.64 148.64 Manager 160.45 155.45 Manager 153.13 160.13 Manager 170.14 168.14 Manager 150.09 149.09 Supervisor 163.74 161.74 Supervisor 10 134.47 142.47 Supervisor 174.17 177.17 Supervisor 150.05 151.05 Supervisor 10 141.47 148.47 Employee 156.59 148.59 Employee 161.88 162.88 Employee 150.99 158.99 Employee 174.95 174.95 Employee 166.90 165.90 Employee 128.43 124.43 Employee 100 169.11 168.11 Employee 153.73 150.73 Employee 151.45 146.45 Employee 172.85 164.85 Employee 146.05 137.05 Employee 171.48 178.48 Employee 153.55 151.55 Employee 166.52 164.52 Employee 5.200 5.280 157.469 156.949 2.784 2.880 12.159 12.776Explanation / Answer
Mean of J = 1 + 2*(Mean of X) = 1 + 2*5.200 = 11.400
Standard deviation of J = 2*2.784 = 5.568
Option B is correct.