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In Exercises, find the range, variance, and | Ch 3.3 - 15BSC

Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola ISBN: 9780321836960 18

Solution for problem 15BSC Chapter 3.3

Elementary Statistics | 12th Edition

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Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola

Elementary Statistics | 12th Edition

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Problem 15BSC

Problem 15BSC

In Exercises, find the range, variance, and standard deviation for the given samph data. Include appropriate units (such as “minutes”) in your results. (The same data were used in Section 3-2 where we found measures of center. Here we find measures of variation.) Then answer the given questions.

Mercury in Sushi Listed below are the amounts of mercury (in parts per million, or ppm) found in tuna sushi sampled at different stores in New York City. The study was sponsored by the New York Times, and the stores (in order) are D’Agostino, Eli’s Manhattan, Fairway, Food Emporium, Gourmet Garage, Grace’s Marketplace, and Whole Foods. What would be the values of the measures of variation if the tuna sushi contained no mercury?

Step-by-Step Solution:

Answer :

Step 1 of 1 :

Mercury in Sushi Listed below are the amounts of mercury (in parts per million, or ppm) found in tuna sushi sampled at different stores in New York City. The study was sponsored by the New York Times, and the stores (in order) are D’Agostino, Eli’s Manhattan, Fairway, Food Emporium, Gourmet Garage, Grace’s Marketplace, and Whole Foods.

Given data

0.56 , 0.75 , 0.10 , 0.95 , 1.25 , 0.54 , 0.88

Now we have to find the range, variance, and standard deviation for the given sample data.

Range :

The range is a simple measure of variation in a set of random variables. It is difference between the biggest and smallest random variable.

Range = Maximum value - Minimum value

Given data

0.56 , 0.75 , 0.10 , 0.95 , 1.25 , 0.54 , 0.88

Therefore, the range of the seven random variables 0.56 , 0.75 , 0.10 , 0.95 , 1.25 , 0.54 , 0.88

Range = Maximum value - Minimum value

Range = 1.25 - 0.1

Range = 1.15 mm

Sample variance :

The variance of a sample is defined by slightly different formula:

The sample variance is the square difference of the data value to the mean divided by the number of values.

s2 =

where s2 is the sample variance.

x is the sample mean.

xi is the ith element from the sample and

n is the number of elements in the sample.

 = 0.56 + 0.75 + 0.10 + 0.95 + 1.25 + 0.54 + 0.88 = 0.7186

 = 0.7186

s2 = 

 

Therefore variance s2 = 0.133 .

The standard deviation is the square root of the sample variance.

s =

s =

s  0.366

If the tuna sushi contained no mercury, all of the measures would be 0 ppm, and the measures of variation would all be 0 as well.

Step 2 of 1

Chapter 3.3, Problem 15BSC is Solved
Textbook: Elementary Statistics
Edition: 12
Author: Mario F. Triola
ISBN: 9780321836960

Since the solution to 15BSC from 3.3 chapter was answered, more than 445 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Elementary Statistics, edition: 12. Elementary Statistics was written by and is associated to the ISBN: 9780321836960. This full solution covers the following key subjects: mercury, measures, sushi, new, stores. This expansive textbook survival guide covers 121 chapters, and 3629 solutions. The answer to “In Exercises, find the range, variance, and standard deviation for the given samph data. Include appropriate units (such as “minutes”) in your results. (The same data were used in Section 3-2 where we found measures of center. Here we find measures of variation.) Then answer the given questions.Mercury in Sushi Listed below are the amounts of mercury (in parts per million, or ppm) found in tuna sushi sampled at different stores in New York City. The study was sponsored by the New York Times, and the stores (in order) are D’Agostino, Eli’s Manhattan, Fairway, Food Emporium, Gourmet Garage, Grace’s Marketplace, and Whole Foods. What would be the values of the measures of variation if the tuna sushi contained no mercury?” is broken down into a number of easy to follow steps, and 120 words. The full step-by-step solution to problem: 15BSC from chapter: 3.3 was answered by , our top Statistics solution expert on 03/15/17, 10:30PM.

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In Exercises, find the range, variance, and | Ch 3.3 - 15BSC