Statistical research
4. Rajmund investigated the influence of personality on obedience levels. He used a self-
report questionnaire where participants rated their authoritarian personality traits and
obedience.
The results of Rajmund's investigation are shown in Table 1 below.
Participant
A
B
C
D
E
F
G
H
Authoritarian
personality score
(out of 20)
18
5
14
6
9
12
8
4
Obedience score
(out of 20)
7
17
9
17
13
8
15
19
Table 1
a) Calculate the mean for the authoritarian personality scores./nb) Calculate the mode for the obedience scores.
Participant
A
B
C
D
E
F
G
Total
Mean x
Obedience score
(out of 20)
7
17
9
17
13
8
15
86
12.29
(x - x)
-5.29
4.71
-3.29
4.71
0.71
-4.29
2.71
Total
(x − x)²
27.98
22.18
10.82
22.18
0.50
18.40
7.34
Table 2
c) Rajmund decided to use the standard deviation as a measure of dispersion for his
data. Calculate the standard deviation for the obedience scores shown in Table 2.
You must show your working and give your answer to two decimal places.
More space for Question 4 is given overleaf, if needed
Fig: 1
Fig: 2
