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Ch. 5 - Discrete Probability Distributions
Triola - Elementary Statistics 14th Edition
Triola14th EditionElementary StatisticsISBN: 9780137366446Not the one you use?Change textbook
All textbooksTriola 14th EditionCh. 5 - Discrete Probability DistributionsProblem 5.CRE.1cd
Chapter 5, Problem 5.CRE.1cd

Planets The planets of the solar system have the numbers of moons listed below in order from the sun. (Pluto is not included because it was uninvited from the solar system party in 2006.) Include appropriate units whenever relevant.


0 0 1 2 17 28 21 8


c. Find the mode.
d. Find the range.

Verified step by step guidance
1
Step 1: To find the mode, identify the number(s) of moons that appear most frequently in the dataset. The dataset is: 0, 0, 1, 2, 17, 28, 21, 8.
Step 2: Count the frequency of each unique value in the dataset. For example, count how many times 0 appears, how many times 1 appears, and so on.
Step 3: The mode is the value(s) with the highest frequency. If no value repeats, the dataset has no mode. If multiple values have the same highest frequency, the dataset is multimodal.
Step 4: To find the range, subtract the smallest value in the dataset from the largest value. Identify the smallest value (minimum) and the largest value (maximum) in the dataset.
Step 5: Compute the range using the formula: Range=Maximum-Minimum. Ensure the result includes appropriate units (e.g., number of moons).

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Key Concepts

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

Mode

The mode is the value that appears most frequently in a data set. In the context of the number of moons for the planets listed, the mode helps identify which number of moons is most common among the planets. If no number repeats, the data set is said to have no mode. Understanding how to calculate the mode is essential for summarizing data effectively.
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Range

The range is a measure of dispersion that indicates the difference between the highest and lowest values in a data set. It provides insight into the spread of the data, showing how varied the number of moons is among the planets. To calculate the range, subtract the smallest value from the largest value. This concept is crucial for understanding the variability in the data.
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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 number of moons for each planet in the solar system. Analyzing a data set involves identifying patterns, calculating statistics like mode and range, and drawing conclusions based on the data. Understanding data sets is fundamental in statistics.
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Related Practice
Textbook Question

Kentucky Pick 4 In the Kentucky Pick 4 lottery game, you can pay \$1 for a “straight” bet in which you select four digits with repetition allowed. If you buy only one ticket and win, your prize is \$2500.


b. If you play this game once every day, find the mean number of wins in years with exactly 365 days.

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Textbook Question

Tennis Challenge In a recent U.S. Open tennis tournament, there were 945 challenges made by singles players, and 255 of them resulted in referee calls that were overturned. The accompanying table lists the results by gender.



c. If two different challenges are randomly selected without replacement, find the probability that they both resulted in an overturned call.

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Textbook Question

Tennis Challenge In a recent U.S. Open tennis tournament, there were 945 challenges made by singles players, and 255 of them resulted in referee calls that were overturned. The accompanying table lists the results by gender.



a. If 1 of the 945 challenges is randomly selected, what is the probability that it resulted in an overturned call?

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Textbook Question

Planets The planets of the solar system have the numbers of moons listed below in order from the sun. (Pluto is not included because it was uninvited from the solar system party in 2006.) Include appropriate units whenever relevant.


0 0 1 2 17 28 21 8


i. What is the level of measurement of the data: nominal, ordinal, interval, or ratio?

j. Are the data discrete or continuous?

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Textbook Question

Tennis Challenge In a recent U.S. Open tennis tournament, there were 945 challenges made by singles players, and 255 of them resulted in referee calls that were overturned. The accompanying table lists the results by gender.



b. If one of the overturned calls is randomly selected, what is the probability that the challenge was made by a woman?

83
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Textbook Question

Planets The planets of the solar system have the numbers of moons listed below in order from the sun. (Pluto is not included because it was uninvited from the solar system party in 2006.) Include appropriate units whenever relevant.


0 0 1 2 17 28 21 8


a. Find the mean.

b. Find the median.

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