Lab 1.1: Data Collection Experiment Student Learning Outcomes • The student will demonstrate the systematic sampling technique. • The student will construct relative frequency tables. • The student will interpret results and their differences from different data groupings. Movie Survey: Below are the number of movies seen in the past month from 48 randomly selected individuals. 4 14 7 3 9 3 6 10 1 0 6 3 2 7 11 13 5 7 8 4 5 3 7 9 12 5 1 0 2 8 6 4 5 9 12 10 497646945577 1. Order the Data: Complete the two frequency tables below using your class data. Number of Movies Frequency Relative Frequency Cumulative Relative Frequency 0 1 2 3 4 5 6 7+ Number of Movies Frequency Relative Frequency Cumulative Relative Frequency 0–1 2–3 4–5 6–7+ Table 1.19 Frequency of Number of Movies Viewed 1. Using the tables, find the percent of data that is at most two. Which table did you use and why? 2. Using the tables, find the percent of data that is at most three. Which table did you use and why? 3. Using the tables, find the percent of data that is more than two. Which table did you use and why? 4. Using the tables, find the percent of data that is more than three. Which table did you use and why? Discussion Questions 1. Is one of the tables “more correct” than the other? Why or why not? 2. In general, how could you group the data differently? Are there any advantages to either way of grouping the data? 3. Why did you switch between tables, if you did, when answering the question above?
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.
Lab 1.1: Data Collection Experiment
Student Learning Outcomes
• The student will demonstrate the systematic sampling technique.
• The student will construct relative frequency tables.
• The student will interpret results and their differences from different data groupings.
Movie Survey: Below are the number of movies seen in the past month from 48 randomly selected individuals.
4 14 7 3 9 3 6 10 1 0 6 3 2 7 11 13 5 7 8 4 5 3 7 9 12 5 1 0 2 8 6 4 5 9 12 10 497646945577
1. Order the Data: Complete the two frequency tables below using your class data.
Number of Movies Frequency Relative Frequency Cumulative Relative Frequency
0 1 2 3 4 5 6 7+
Number of Movies Frequency Relative Frequency Cumulative Relative Frequency
0–1 2–3 4–5 6–7+
Table 1.19 Frequency of Number of Movies Viewed
1. Using the tables, find the percent of data that is at most two. Which table did you use and why?
2. Using the tables, find the percent of data that is at most three. Which table did you use and why?
3. Using the tables, find the percent of data that is more than two. Which table did you use and why?
4. Using the tables, find the percent of data that is more than three. Which table did you use and
why?
Discussion Questions
1. Is one of the tables “more correct” than the other? Why or why not?
2. In general, how could you group the data differently? Are there any advantages to either way of
grouping the data?
3. Why did you switch between tables, if you did, when answering the question above?
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