the following are the scores of 25 students who participated in a psychology experiment. The scores represent the number of trials required to complete a memorization test.
12, 10, 12, 11, 6, 15, 14, 17, 9, 12, 13, 8, 7, 15, 14, 15, 18, 19, 14, 10, 14, 14, 16, 8, 9
Based on these data, the z score for generated for a person with a raw score of 6 is___ and their percentile is___
The data provided is:
Data | |
12 | |
10 | |
12 | |
11 | |
6 | |
15 | |
14 | |
17 | |
9 | |
12 | |
13 | |
8 | |
7 | |
15 | |
14 | |
15 | |
18 | |
19 | |
14 | |
10 | |
14 | |
14 | |
16 | |
8 | |
9 | |
Count | 25 |
Mean | 12.48 |
SD | 3.465545 |
The Z score for raw score 6 is:
The percentile is calculated as
P(Z<-1.8698) = 0.0694546159801832
Hence the percentile is 6.9455%
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