Table of contents
- 1. Intro to Stats and Collecting Data55m
- 2. Describing Data with Tables and Graphs1h 55m
- 3. Describing Data Numerically1h 45m
- 4. Probability2h 16m
- 5. Binomial Distribution & Discrete Random Variables2h 33m
- 6. Normal Distribution and Continuous Random Variables1h 38m
- 7. Sampling Distributions & Confidence Intervals: Mean1h 3m
- 8. Sampling Distributions & Confidence Intervals: Proportion1h 12m
- 9. Hypothesis Testing for One Sample1h 1m
- 10. Hypothesis Testing for Two Samples2h 8m
- 11. Correlation48m
- 12. Regression1h 4m
- 13. Chi-Square Tests & Goodness of Fit1h 20m
- 14. ANOVA1h 0m
2. Describing Data with Tables and Graphs
Frequency Distributions
Problem 2.1.25
Textbook Question
In Exercises 25 and 26, construct the cumulative frequency distribution that corresponds to the frequency distribution in the exercise indicated.
Exercise 5 (Age of Best Actress When Oscar Was Won)


1
Identify the frequency distribution from the table. The age groups and their corresponding frequencies are: 20-29 (31), 30-39 (34), 40-49 (15), 50-59 (3), 60-69 (6), 70-79 (1), and 80-89 (1).
Start constructing the cumulative frequency distribution by taking the first frequency as it is. For the age group 20-29, the cumulative frequency is 31.
Add the frequency of the next age group to the cumulative frequency of the previous group. For the age group 30-39, add 34 to the previous cumulative frequency of 31, resulting in a cumulative frequency of 65.
Continue this process for each subsequent age group. For the age group 40-49, add 15 to the previous cumulative frequency of 65, resulting in a cumulative frequency of 80.
Repeat the addition for all remaining age groups: 50-59 (add 3 to 80), 60-69 (add 6 to the result), 70-79 (add 1), and 80-89 (add 1). This will give you the complete cumulative frequency distribution.

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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Frequency Distribution
A frequency distribution is a summary of data that shows the number of occurrences of each value or range of values in a dataset. In the context of the table, it displays how many Best Actress winners fall into each age group when they won an Oscar. This helps in understanding the distribution and concentration of ages among the winners.
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Cumulative Frequency
Cumulative frequency is the running total of frequencies through the classes in a frequency distribution. It shows the number of observations below a particular value or class interval. To construct a cumulative frequency distribution, you add the frequency of each class interval to the sum of the frequencies of all preceding intervals, providing insight into the accumulation of data points.
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Age Group Analysis
Age group analysis involves examining the distribution of data across different age ranges to identify patterns or trends. In this exercise, analyzing the age groups of Best Actress winners can reveal insights into the typical age range for winning an Oscar, highlighting any age-related trends or anomalies in the data. This analysis is crucial for understanding demographic patterns in award-winning.
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Step 1: Write Hypotheses
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