Hi, I had asked the below question in two parts but would request to again look into the mean, median, mode, & interquartile answers once again, please. (The ones marked in bold) There is some discrepancy in your answers. 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.
Hi,
I had asked the below question in two parts but would request to again look into the mean,
There is some discrepancy in your answers.
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 presented in this table?
(b) Display the frequency distribution in a graph. Which type of graph is most, appropriate?
(c) Describe the shape of the frequency distribution. Is it skewed or is it symmetric? If skewed, is it positively skewed or negatively skewed? Is it unimodal or bimodal? Are there outliers in the number of convictions?
(d) Calculate the sample mean, sample standard deviation, median, the
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