Here is a stem and leaf plot of the percents of residents aged 25 to 34 in each of the 50 states. The stems are whole percents and the leaves are tenths of a percent. The "*" stem rows have leaves 0 through 4; the stem rows without a "*" have leaves 5 through 9. 10* | 10 | 5 11* | 0 11 | 12* | 1 3 4 4 12 | 6 7 7 8 8 9 13* | 0 0 1 2 4 13 | 5 5 5 6 6 7 8 9 9 9 9 14* | 1 1 2 2 2 3 4 4 4 4 14 | 5 7 8 9 15* | 2 4 4 15 | 7 8 9 9 9 Question 1. Montana has the smallest percent of young adults, perhaps because it lacks job opportunities. What is the percent for Montana? Question 2. What is the median of the data? (Use 2 decimal places in your answer). Question 3. What is the first quartile of the data? (Use the method shown in class to calculate Q1). first quartile Question 4. What is the third quartile of the data? (Use the method shown in class to calculate Q3) third quartile
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.
Here is a stem and leaf plot of the percents of residents aged 25 to 34 in each of the 50 states. The stems are whole percents and the leaves are tenths of a percent. The "*" stem rows have leaves 0 through 4; the stem rows without a "*" have leaves 5 through 9.
| 10* | | | |
| 10 | | | 5 |
| 11* | | | 0 |
| 11 | | | |
| 12* | | | 1 3 4 4 |
| 12 | | | 6 7 7 8 8 9 |
| 13* | | | 0 0 1 2 4 |
| 13 | | | 5 5 5 6 6 7 8 9 9 9 9 |
| 14* | | | 1 1 2 2 2 3 4 4 4 4 |
| 14 | | | 5 7 8 9 |
| 15* | | | 2 4 4 |
| 15 | | | 7 8 9 9 9 |
Question 1. Montana has the smallest percent of young adults, perhaps because it lacks job opportunities. What is the percent for Montana?
Question 2. What is the
(Use 2 decimal places in your answer).
Question 3. What is the first
first quartile
Question 4. What is the third quartile of the data? (Use the method shown in class to calculate Q3)
third quartile
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