BuyFindarrow_forward

Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074

Solutions

Chapter
Section
BuyFindarrow_forward

Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074
Textbook Problem

A general chemistry class carried out an experiment to determine the percentage (by mass) of acetic acid in vinegar. Ten students reported the follow­ing values: 5.22%, 5.28%, 5.22%, 5.30%, 5.19%, 5.23%, 5.33%, 5.26%, 5.15%, 5.22%. Determine the average value and the standard deviation from these data. How many of these results fell within one standard deviation of this average value?

Interpretation Introduction

Interpretation:

The average value and the standard deviation has to be determined and the number of values that fall within one standard deviation of the average value has to be given.

Concept Introduction:

Standard Deviation: A series of measurements is equal to the square root of the sum of the squares of the deviations for each measurement from the average, divided by one less than the number of measurements.

  SD=|xμ|2Nwhere,xis values in the data set,           μisaverage of the data set (mean value),            N is no.of data points.

Explanation

The average value and the standard deviation is calculated as,

  SD=|xμ|2Nwhere,xis values in the data set,           μisaverage of the data set (mean value),            N is no.of data points.Given : x = 5.22%,5.28%,5.22%,5.30%,5.19%,                   5.23%,5.33%,5.26%,5.15%,5.22%.Find mean value (μ):μ=5.22%+5.28%+5.22%+5.30%+5.19%+5.23%+5.33%+5.26%+5.15%+5.22%10   = 5.24 %DeterminationMeasured valuesDifferencebetweenMeasurementandAverage(xμ)Square of Difference|xμ|215.22%0.024×10425.28%0.041.6×10335.22%0.024×10445

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Additional Science Solutions

Find more solutions based on key concepts

Show solutions add

Cells a. are self-contained, living units. b. serve the bodys needs but have few needs of their own. c. remain ...

Nutrition: Concepts and Controversies - Standalone book (MindTap Course List)

On what does the range of a projectile depend?

An Introduction to Physical Science

What are sister chromatids?

Human Heredity: Principles and Issues (MindTap Course List)

Problem 6-13 What is the osmolarity of a 3.3% w/v Na3PO4 solution?

Introduction to General, Organic and Biochemistry

An electron moves in the plane of this paper toward the top of the page. A magnetic field is also in the plane ...

Physics for Scientists and Engineers, Technology Update (No access codes included)