Answered: Ethan and Drew went on a 10-day…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

ChapterCSR: Contents Of Student Resources

Section: Chapter Questions

Problem 2.55EP

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Question

Ethan and Drew went on a 10-day fishing trip. The number of smallmouth bass caught and released by the two boys each day is shown in the accompanying data table.

Find the population mean and the range for the number of smallmouth bass caught per day by each fisherman. Do these values indicate any differences between the two fishermen's catches per day?

Question 1

The range for the number of smallmouth bass caught per day by Ethan is?

(Type an integer or a decimal. Do not round.)

The population mean for the number of smallmouth bass caught per day by Ethan is

(Simplify your answer.)

The range for the number of smallmouth bass caught per day by Drew is?

The population mean for the number of smallmouth bass caught per day by Drew is

(Simplify your answer.)

Do these values indicate any differences between the two fishermen's catches per day?

Question 2

Draw a dot plot for Ethan. Draw a dot plot for Drew. Which fisherman seems more consistent?

Question 3

Find the population standard deviation for the number of smallmouth bass caught per day by each fisherman. Do these values present a different story about the two fishermen's catches per day? Which fisherman has the more consistent record?

The population standard deviation for the number of smallmouth bass caught per day by Ethan is

(Round to one decimal place as needed.)

The population standard deviation for the number of smallmouth bass caught per day by Drew is

(Round to one decimal place as needed.)

The population standard deviation for the number of smallmouth bass caught per day by Ethan is

(Round to one decimal place as needed.)

The population standard deviation for the number of smallmouth bass caught per day by Drew is

(Round to one decimal place as needed.)

Do these values present a different story about the two fishermen's catches per day?

Yes,

No,

since the fishermen have

different

similar

population means and ranges while having

different

similar

population standard deviations.

Which fisherman has the more consistent record?

Discuss limitations of the range as a measure of dispersion

J
Ethan 10, 24, 7, 9, 5, 8, 9, 10, 8, 10
32-
Drew: 15, 2, 3, 18, 20, 1, 1, 2,19,3

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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