Title: Understanding Data Sets---**Give an example of a data set with:**- $ N = 4 $- $ \mu = 7.1 $- $ \sigma = 0 $---This problem asks you to create a data set consisting of four values (N=4) where the mean ($\mu$) is 7.1 and the standard deviation ($\sigma$) is 0. **Explanation:**- A mean ($\mu$) of 7.1 indicates that the average of all numbers in the data set should be 7.1.- A standard deviation ($\sigma$) of 0 implies that all values in the data set are identical since there is no spread or variation in the data.**Forming the Data Set:**Given these conditions, the data set should contain four identical numbers, each being 7.1:\[ \{7.1, 7.1, 7.1, 7.1\} \]This satisfies both the given mean and standard deviation, as the average is 7.1 and there is no deviation from this value.

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Description: Title: Understanding Data Sets---**Give an example of a data set with:**- $ N = 4 $- $ \mu = 7.1 $- $ \sigma = 0 $---This problem asks you to create a data set consisting of four values (N=4) where the mean ($\mu$) is 7.1 and the standard de

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 11MCQ

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Title: Understanding Data Sets

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**Give an example of a data set with:**

- $ N = 4 $
- $ \mu = 7.1 $
- $ \sigma = 0 $

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This problem asks you to create a data set consisting of four values (N=4) where the mean ($\mu$) is 7.1 and the standard deviation ($\sigma$) is 0.

**Explanation:**

- A mean ($\mu$) of 7.1 indicates that the average of all numbers in the data set should be 7.1.
- A standard deviation ($\sigma$) of 0 implies that all values in the data set are identical since there is no spread or variation in the data.

**Forming the Data Set:**

Given these conditions, the data set should contain four identical numbers, each being 7.1:

\[ \{7.1, 7.1, 7.1, 7.1\} \]

This satisfies both the given mean and standard deviation, as the average is 7.1 and there is no deviation from this value.

Expert Solution

Step 1

We are given

N = 4

$μ$ = 7.1

$σ$ = 0

The standard deviation being zero indicated that there is no or zero variation in the data. Implying that all the observations are the same or equal.

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