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Ch. 2 - Exploring Data with Tables and Graphs
Triola - Elementary Statistics 14th Edition
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Tutti i libri di testoTriola 14th EditionCh. 2 - Exploring Data with Tables and GraphsProblema 2.q.4
Capitolo 2, Problema 2.q.4

Tornado Alley Construct the relative frequency distribution corresponding to the frequency distribution in Exercise 1
Table showing annual tornadoes in Oklahoma with corresponding frequency counts for each range of tornado occurrences.

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Step 1: Calculate the total frequency by summing all the frequencies provided in the table. Add the values: 3 + 18 + 21 + 15 + 6 + 5 + 0 + 1.
Step 2: For each class interval, divide the frequency of that interval by the total frequency calculated in Step 1. This will give the relative frequency for each interval.
Step 3: Express the relative frequency as a decimal or percentage. For example, if the relative frequency for a class interval is 0.1, you can also express it as 10%.
Step 4: Construct a new table with the same class intervals as the original table, but replace the frequency column with the relative frequency values calculated in Step 2.
Step 5: Verify that the sum of all relative frequencies equals 1 (or 100% if expressed as percentages). This ensures the relative frequency distribution is correctly constructed.

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Relative Frequency Distribution

A relative frequency distribution shows the proportion of observations within each category relative to the total number of observations. It is calculated by dividing the frequency of each category by the total frequency. This distribution helps in understanding the likelihood of occurrences within specified ranges, making it easier to compare different categories.
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Intro to Frequency Distributions

Frequency Distribution

A frequency distribution is a summary of how often each value occurs in a dataset. It lists the categories of data and their corresponding counts, providing a clear view of the data's distribution. In the context of tornado occurrences, it shows how many years fall into each range of annual tornado counts, which is essential for analyzing trends and patterns.
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Intro to Frequency Distributions

Cumulative Frequency

Cumulative frequency is the running total of frequencies through the categories of a frequency distribution. It indicates the number of observations that fall below a particular value. This concept is useful for understanding the overall distribution of data and can help in determining percentiles and other statistical measures.
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Creating Frequency Polygons
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Interpreting Normal Quantile Plots Which of the following normal quantile plots appear to represent data from a population having a normal distribution? Explain.

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Tornado Alley Refer to the accompanying frequency distribution that summarizes the number of tornadoes in Oklahoma in each year for the past several years. What is the class width? Is it possible to identify the original data values?

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In Exercises 21–24, find the coefficient of variation for each of the two samples; then compare the variation. (The same data were used in Section 3-1.)


Pulse Rates Listed below are pulse rates (beats per minute) from samples of adult males and females (from Data Set 1 “Body Data” in Appendix B). Does there appear to be a difference?


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Estimating r For each of the following, estimate the value of the linear correlation coefficient r for the given paired data obtained from 50 randomly selected adults.


d. The 50 adults all drove cars from Jacksonville, Florida, to Richmond, Virginia. Their average (mean) speeds are recorded along with the times it took to complete that trip.

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Tornado Alley Using the same frequency distribution from Exercise 1, identify the class limits of the first class and the class boundaries of the first class.

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Histogram of Interarrival Times Construct the histogram that corresponds to the frequency distribution from Exercise 1. Use class midpoint values for the horizontal scale. Does the histogram suggest that the data are from a population having a normal distribution? Why or why not?

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