Why does the percent-error equation use the absolute value of the error?

Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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Q3. Why does the percent-error equation use the absolute value of the error?

Learning Activity 1
For this this topic, I want you to read Lesson 2.1 in your Textbook General Chemistry 1 by Aristea V.
Bayquen and Gardee T. Peña, page 29.
Student Density and Error Data
(Unknown was sucrose; density=1.59g/cm3
Student A
Student B
Student C
Error (g/cm) Density
Error (g/cm3)
Error (g/cm3)
Density
1.54 g/cm
1.60 g/cm?
1.57 g/cm3
1.57 g/cm?
1.40 g/cm3
1.68 g/cm?
1.45 g/cm
1.51 g/cm?
Density
1.70 g/cm3
1.69 g/cm
1.71 g/cm
1.70 g/cm3
Trial 1
Trial 2
Trial 3
Average
Consider the data in the table. Students were asked to find the density of an unknown white
powder. Each student measured the volume and mass of three separate samples. They reported
calculated densities for each trial and an average of the three calculations. The powder, sucrose
(table sugar), has a density of 1.59 g/cm².
Q1. Which student collected the most accurate data? Q2.Who collected the most precise data?
Using the table above as reference, analyze and provide answers to the given questions.
The density values reported in the table above are experimental values, which means they
are measured during an experiment. The known density of sucrose is an accepted value, which is a
value considered true. To evaluate the accuracy of experimental data, you can compare how close
the experimental value is to the accepted value. Error is defined as the difference between an
experimental value and an accepted value. Compute for the value of errors in the table given.
Transcribed Image Text:Learning Activity 1 For this this topic, I want you to read Lesson 2.1 in your Textbook General Chemistry 1 by Aristea V. Bayquen and Gardee T. Peña, page 29. Student Density and Error Data (Unknown was sucrose; density=1.59g/cm3 Student A Student B Student C Error (g/cm) Density Error (g/cm3) Error (g/cm3) Density 1.54 g/cm 1.60 g/cm? 1.57 g/cm3 1.57 g/cm? 1.40 g/cm3 1.68 g/cm? 1.45 g/cm 1.51 g/cm? Density 1.70 g/cm3 1.69 g/cm 1.71 g/cm 1.70 g/cm3 Trial 1 Trial 2 Trial 3 Average Consider the data in the table. Students were asked to find the density of an unknown white powder. Each student measured the volume and mass of three separate samples. They reported calculated densities for each trial and an average of the three calculations. The powder, sucrose (table sugar), has a density of 1.59 g/cm². Q1. Which student collected the most accurate data? Q2.Who collected the most precise data? Using the table above as reference, analyze and provide answers to the given questions. The density values reported in the table above are experimental values, which means they are measured during an experiment. The known density of sucrose is an accepted value, which is a value considered true. To evaluate the accuracy of experimental data, you can compare how close the experimental value is to the accepted value. Error is defined as the difference between an experimental value and an accepted value. Compute for the value of errors in the table given.
Using the table above as reference, analyze and provide answers to the given questions.
The density values reported in the table above are experimental values, which means they
are measured during an experiment. The known density of sucrose is an accepted value, which is a
value considered true. To evaluate the accuracy of experimental data, you can compare how close
the experimental value is to the accepted value. Error is defined as the difference between an
experimental value and an accepted value. Compute for the value of errors in the table given.
Error Equation
Error = experimental value – accepted value
The error is associated with an experimental value is the difference between the experimental value and the
occepted value.
Scientist often want to know what percent of the accepted value an error represents. Percent
error express error as a percentage of the accepted value.
Percent Error Equation
Percent Error=lerror|
accepted value
x 100
The percent error of an experimental value equals the absolute value of its error divided by the accepted value,
multiplied by 100.
Q3. Why does the percent-error equation use the absolute value of the error?
Transcribed Image Text:Using the table above as reference, analyze and provide answers to the given questions. The density values reported in the table above are experimental values, which means they are measured during an experiment. The known density of sucrose is an accepted value, which is a value considered true. To evaluate the accuracy of experimental data, you can compare how close the experimental value is to the accepted value. Error is defined as the difference between an experimental value and an accepted value. Compute for the value of errors in the table given. Error Equation Error = experimental value – accepted value The error is associated with an experimental value is the difference between the experimental value and the occepted value. Scientist often want to know what percent of the accepted value an error represents. Percent error express error as a percentage of the accepted value. Percent Error Equation Percent Error=lerror| accepted value x 100 The percent error of an experimental value equals the absolute value of its error divided by the accepted value, multiplied by 100. Q3. Why does the percent-error equation use the absolute value of the error?
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