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 53m
8. Sampling Distributions & Confidence Intervals: Proportion1h 12m
- Sampling Distribution of Sample Proportion
  29m
- Confidence Intervals for Population Proportion
  42m
9. Hypothesis Testing for One Sample2h 19m
10. Hypothesis Testing for Two Samples3h 22m
11. Correlation1h 6m
12. Regression1h 4m
13. Chi-Square Tests & Goodness of Fit1h 20m
14. ANOVA1h 0m

3. Describing Data Numerically

Standard Deviation

Statistics

3. Describing Data Numerically

Standard Deviation

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1:05 minutes

Problem 8.c.1e

Textbook Question

Lightning Deaths Listed below are the numbers of deaths from lightning strikes in the United States each year for a sequence of recent and consecutive years. Find the values of the indicated statistics.
46 51 44 51 43 32 38 48 45 27 34 29 26 28 23 26 28 40 16 20
e. Range

Verified step by step guidance

Step 1: Understand the concept of range. The range is a measure of variability in a dataset and is calculated as the difference between the maximum and minimum values in the dataset.

Step 2: Identify the maximum value in the dataset. Look through the given numbers (46, 51, 44, 51, 43, 32, 38, 48, 45, 27, 34, 29, 26, 28, 23, 26, 28, 40, 16, 20) and determine the largest number.

Step 3: Identify the minimum value in the dataset. Look through the same numbers and determine the smallest number.

Step 4: Subtract the minimum value from the maximum value. Use the formula:

Range = Maximum - Minimum

Step 5: The result of this subtraction will give you the range of the dataset, which represents the spread of the data.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Range

The range is a measure of dispersion that indicates the difference between the highest and lowest values in a data set. It provides a simple way to understand the spread of the data. To calculate the range, subtract the smallest value from the largest value. In the context of the lightning deaths data, the range will help illustrate the variability in the number of deaths over the years.

Descriptive Statistics

Descriptive statistics summarize and describe the main features of a data set. This includes measures such as mean, median, mode, and range, which provide insights into the central tendency and variability of the data. Understanding descriptive statistics is essential for interpreting the data effectively and making informed conclusions about trends or patterns in the lightning deaths.

Data Set

A data set is a collection of related values or observations, often organized in a structured format. In this case, the data set consists of the annual lightning death counts over a series of years. Analyzing a data set involves calculating various statistics to understand its characteristics, such as the range, which reflects the extent of variation in the recorded deaths.

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Related Practice

Textbook Question

In Exercises 1 and 2, use the following wait times (minutes) at 10:00 AM for the Tower of Terror ride at Disney World (from Data Set 33 “Disney World Wait Times” in Appendix B).

35 35 20 50 95 75 45 50 30 35 30 30

c. Find the standard deviation s.

Textbook Question

In Exercises 1 and 2, use the following wait times (minutes) at 10:00 AM for the Tower of Terror ride at Disney World (from Data Set 33 “Disney World Wait Times” in Appendix B).

35 35 20 50 95 75 45 50 30 35 30 30

d. Find the variance.

Textbook Question

Lightning Deaths Listed below are the numbers of deaths from lightning strikes in the United States each year for a sequence of recent and consecutive years. Find the values of the indicated statistics.

46 51 44 51 43 32 38 48 45 27 34 29 26 28 23 26 28 40 16 20

c. standard deviation

Textbook Question

46 51 44 51 43 32 38 48 45 27 34 29 26 28 23 26 28 40 16 20

d. Variance

Textbook Question

Standard Error of Estimate A random sample of 118 different female statistics students is obtained and their weights are measured in kilograms and in pounds. Using the 118 paired weights (weight in kg, weight in lb), what is the value of se? For a female statistics student who weighs 100 lb, the predicted weight in kilograms is 45.4 kg. What is the 95% prediction interval?

Textbook Question

Lottery. In Exercises 15–20, refer to the accompanying table, which describes probabilities for the California Daily 4 lottery. The player selects four digits with repetition allowed, and the random variable x is the number of digits that match those in the same order that they are drawn (for a “straight” bet).

Range Rule of Thumb for Significant Events Use the range rule of thumb to determine whether 4 matches is a significantly high number of matches.

Textbook Question

Building Basic Skills and Vocabulary

Given a data set, how do you know whether to calculate σ or s?

Textbook Question

Using and Interpreting Concepts

Finding the Range of a Data Set In Exercises 9 and 10, find the range of the data set represented by the graph.

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Lightning Deaths Listed below are the numbers of deaths from lightning strikes in the United States each year for a sequence of recent and consecutive years. Find the values of the indicated statistics.46 51 44 51 43 32 38 48 45 27 34 29 26 28 23 26 28 40 16 20e. Range

Key Concepts

Range

Descriptive Statistics

Data Set

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Lightning Deaths Listed below are the numbers of deaths from lightning strikes in the United States each year for a sequence of recent and consecutive years. Find the values of the indicated statistics.
46 51 44 51 43 32 38 48 45 27 34 29 26 28 23 26 28 40 16 20
e. Range