The five number summary for the populations of the 50 US states, in millions of people, is (0.506, 1.660, 4.170, 6.676, 35.842). The table shows all 50 populations listed in order. 0.506 0.621 0.636 0.658 0.771 0.830 0.927 1.080 1.262 1.299 1.315 1.395 1.748 1.813
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
(0.506, 1.660, 4.170, 6.676, 35.842).
The table shows all 50 populations listed in order.
|
0.506 |
0.621 |
0.636 |
0.658 |
0.771 |
0.830 |
0.927 |
1.080 |
1.262 |
1.299 |
|
1.315 |
1.395 |
1.748 |
1.813 |
1.903 |
2.333 |
2.421 |
2.734 |
2.750 |
2.901 |
|
2.953 |
3.499 |
3.524 |
3.591 |
4.142 |
4.198 |
4.507 |
4.525 |
4.602 |
5.097 |
|
5.504 |
5.561 |
5.740 |
5.760 |
5.893 |
6.207 |
6.227 |
6.407 |
7.481 |
8.540 |
|
8.685 |
8.918 |
10.104 |
11.450 |
12.394 |
12.712 |
17.385 |
19.281 |
22.472 |
35.842 |
- How many people are in the smallest state?
- Calculate the IQR.
- Any state’s population that is more than Q3 + 1.5∗IQR is considered an outlier. Similarly, any population less than Q1 – 1.5∗IQR is an outlier. Determine whether there are any outliers, and, if so, identify them
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