The Cambridge Study in Delinquent Development was under-taken in north London to investigate the links between criminal behavior in young men and the socioeconomic factors of their upbringing. A cohort of 395 boys was followed for about 20 years, starting at the age of 8 or 9. The following table shows the total number of criminal convictions by the boys between the start and end of the study. Number of convictions Frequency 0 265 1 49 2 21 3 19 4 10 5 10 6 2 7 2 8 4 9 2 10 1 11 4 12 3 13 1 14 2
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
The Cambridge Study in Delinquent Development was under-taken in north London to investigate the links between criminal behavior in young men and the socioeconomic factors of their upbringing. A cohort of 395 boys was followed for about 20 years, starting at the age of 8 or 9. The following table shows the total number of criminal convictions by the boys between the start and end of the study.
|
Number of convictions |
Frequency |
|
0 |
265 |
|
1 |
49 |
|
2 |
21 |
|
3 |
19 |
|
4 |
10 |
|
5 |
10 |
|
6 |
2 |
|
7 |
2 |
|
8 |
4 |
|
9 |
2 |
|
10 |
1 |
|
11 |
4 |
|
12 |
3 |
|
13 |
1 |
|
14 |
2 |
- a) How many variables are present in this table?
- b) Calculate the sample mean, sample standard deviation,
median , theinterquartile range of the number of convictions.
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