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Use the following information to answer the next three exercises: The following data show the lengths of boats moored in a marina. The data are ordered from smallest to largest:

16;17;19;20;20;21;23;24;25;25;25;26;26;27;27;27;28;29;30;32;33;33;34;35;37;39;40

Identify the mode

Short Answer

Expert verified

The mode of the length of the boat is 25and 27.

Step by step solution

01

Given information

Given data of the lengths of boats moored in a marina:

16;17;19;20;20;21;23;24;25;25;25;26;26;27;27;27;28;29;30;32;33;33;34;35;37;39;40
02

Explanation

The total number of observations is 27. Hence the mode is the length of boats that occurs the highest number of times that is the length has the highest frequency. Here we get the highest frequency of two values these are role="math" localid="1647956226531" 25and 27both have a frequency 3.

The result of mode length of the boat is 25and 27

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Most popular questions from this chapter

Use the following information to answer the next nine exercises: The population parameters below describe the full-time equivalent number of students (FTES) each year at Lake Tahoe Community College from 1976–1977 through 2004–2005.

• μ = 1000 FTES

• median = 1,014 FTES

• σ = 474 FTES

• first quartile = 528.5 FTES

• third quartile = 1,447.5 FTES

• n = 29 years

How many standard deviations away from the mean is the median? Additional Information: The population FTES for 2005–2006 through 2010–2011 was given in an updated report. The data are reported here.

One hundred teachers attended a seminar on mathematical problem solving. The attitudes of a representative sample of 12of the teachers were measured before and after the seminar. A positive number for change in attitude indicates that a teacher's attitude toward math became more positive. The 12 change scores are as follows:

3;8;–1;2;0;5;–3;1;–1;6;5;–2

a. What is the mean change score?

b. What is the standard deviation for this population?

c. What is the median change score?

d. Find the change score that is 2.2 standard deviations below the mean.

Are the mean and the median the exact same in this distribution? Why or why not?

Describe the shape of this distribution.

In a study collecting data about the repair costs of damage to automobiles in a certain type of crash test, a certain model of car had $1700in damage and was in the 90th percentile. Should the manufacturer and the consumer be pleased or upset by this result? Explain and write a sentence that interprets the 90th percentile in the context of this problem.

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