Threaded Problem: Tornado The data set “Tornadoes_2017” located at www.pearsonhighered.com/sullivanstats contains a variety of variables that were measured for all tornadoes in the United States in 2017. a. Determine and interpret the quartiles of the length for all tornadoes. Hint: If you are using StatCrunch, enter “State=IA” in the Where: box of the Summary Stats dialogue window. Determine the interquartile range of the length of tornadoes in Kansas (KS). Which state has lengths of tornadoes that are more dispersed? Explain.
Table of contents
- 1. Intro to Stats and Collecting Data1h 14m
- 2. Describing Data with Tables and Graphs1h 55m
- 3. Describing Data Numerically2h 5m
- 4. Probability2h 16m
- 5. Binomial Distribution & Discrete Random Variables3h 6m
- 6. Normal Distribution and Continuous Random Variables2h 11m
- 7. Sampling Distributions & Confidence Intervals: Mean3h 23m
- Sampling Distribution of the Sample Mean and Central Limit Theorem19m
- Distribution of Sample Mean - Excel23m
- Introduction to Confidence Intervals15m
- Confidence Intervals for Population Mean1h 18m
- Determining the Minimum Sample Size Required12m
- Finding Probabilities and T Critical Values - Excel28m
- Confidence Intervals for Population Means - Excel25m
- 8. Sampling Distributions & Confidence Intervals: Proportion1h 25m
- 9. Hypothesis Testing for One Sample3h 29m
- 10. Hypothesis Testing for Two Samples4h 50m
- Two Proportions1h 13m
- Two Proportions Hypothesis Test - Excel28m
- Two Means - Unknown, Unequal Variance1h 3m
- Two Means - Unknown Variances Hypothesis Test - Excel12m
- Two Means - Unknown, Equal Variance15m
- Two Means - Unknown, Equal Variances Hypothesis Test - Excel9m
- Two Means - Known Variance12m
- Two Means - Sigma Known Hypothesis Test - Excel21m
- Two Means - Matched Pairs (Dependent Samples)42m
- Matched Pairs Hypothesis Test - Excel12m
- 11. Correlation1h 24m
- 12. Regression1h 50m
- 13. Chi-Square Tests & Goodness of Fit2h 21m
- 14. ANOVA1h 57m
3. Describing Data Numerically
Percentiles & Quartiles
Problem 3.R.11
Textbook Question
You Explain It! Percentiles According to the National Center for Health Statistics, a 19-year-old female whose height is 67.1 inches has a height that is at the 85th percentile. Explain what this means.
Verified step by step guidance1
Understand that a percentile indicates the relative standing of a value within a data set. Specifically, the 85th percentile means that the value is greater than or equal to 85% of the data points in the distribution.
Identify that the 19-year-old female's height of 67.1 inches being at the 85th percentile means her height is taller than 85% of 19-year-old females in the reference population.
Recognize that the remaining 15% of 19-year-old females have heights greater than 67.1 inches, placing her in the upper range of the height distribution.
Interpret this percentile as a way to compare an individual's measurement to a population, showing that she is relatively tall compared to her peers.
Note that percentiles do not provide the exact height values of others but rather the position or rank of the individual within the population's height distribution.
Verified video answer for a similar problem:This video solution was recommended by our tutors as helpful for the problem above
Video duration:
1mPlay a video:
Was this helpful?
Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Percentiles
Percentiles indicate the relative standing of a value within a data set. Being at the 85th percentile means that the individual’s height is greater than or equal to 85% of the heights in the reference population.
Recommended video:
Percentiles and Quartiles
Interpretation of Percentile Rank
A percentile rank shows how a specific measurement compares to others. For example, a height at the 85th percentile means the person is taller than most peers, but 15% of the population is taller.
Recommended video:
Percentiles and Quartiles
Reference Population and Context
Percentiles are based on a defined reference group, such as 19-year-old females in this case. Understanding the context ensures accurate interpretation of what the percentile represents in terms of growth or health standards.
Recommended video:
Population Standard Deviation Known
Watch next
Master Percentiles and Quartiles with a bite sized video explanation from Patrick
Start learningRelated Videos
Related Practice
Textbook Question
3
views
