World Journal of Chemical Education, 2015, Vol. 3, No. 2, 40-45
Available online at http://pubs.sciepub.com/wjce/3/2/3
© Science and Education Publishing
DOI:10.12691/wjce-3-2-3
Accurately Precise and Precisely Accurate: An
Experimental Comprehension
Shaikh. Mohiuddin
*
, Zahida Karim
Department of Chemistry, University of Karachi, Karachi, Pakistan
*Corresponding author: shmohiuddin@uok.edu.pk
Received March 28, 2015; Revised April 10, 2015; Accepted April 15, 2015
Abstract Accuracy and precision are the primary targets in chemical analysis. This article is an experimental
approach to appreciate the concepts of precision and accuracy in analytical chemistry. An easy, fast and well-
established spectrophotometry experiment for quantitative analysis of Fe
2+
is done using 1,10-phenanthroline as a
complexing or coloring agent. Real time learning approach is carried out; it means discussing the data in front of
class after collection of experimental results. A little data is used to discuss variety of concepts of basic statistics in
analytical chemistry. A debate regarding priority of precision over accuracy is done. The objective of using standard
deviation (STDEV) and changes in its value by unit conversion or other transformation is explained. The advantage
of using relative standard deviation (RSD) is also demonstrated. Several spectrophotometers are compared regarding
precision. By using same data, precision of analog and digital spectrophotometers is also compared. Repeatability
and reproducibility are also explained and calculated using the same data. Presence of systematic error or accuracy
of experiment is statistically assessed without doing further experimentation. The whole study is optionally
supported with online MS-Excel worksheets that are automated for better understanding.
Keywords: accuracy, precision, second year undergraduate, analytical chemistry, graduate education/research
Cite This Article: Shaikh. Mohiuddin, and Zahida Karim, “Accurately Precise and Precisely Accurate: An
Experimental Comprehension.” World Journal of Chemical Education, vol. 3, no. 2 (2015): 40-45. doi:
10.12691/wjce-3-2-3.
1. Introduction
Statistics is an essential tool for quality analytical
chemistry [1]. The prime target of using statistics is to
have accurate and precise outcomes of analysis. Stories
about accuracy and precision are not new, people are
always worried about it [2,3]. This is well-known concept
that closeness of data is precision and closeness of results
or its mean value to the true or actual value is accuracy.
Several attempts have been made in past to nourish the
concept of accuracy and precision in the field of chemical
education (4). Experiments and pedagogical contents have
been reported for good understanding of the concept of
basic statistics, especially accuracy and precision [5,6].
Other chemical analysis [7,8] as well as disciplines
covering other than science subjects are also emphasis on
accuracy-precision differentiation even in topic of articles
[9,10,11].
1.1. Real Time Teaching and Learning
This is an approach to discuss the concepts within lab
or during experiment. In this experiment, a collective data
is used and students are gathered to discuss data and do
calculation to appreciate concepts. At each step students
are asked reason(s) for any expected and unexpected
matter, details are demonstrated in discussion section.
This gives chance to students to actively think and
practice their concepts. Most of the concepts canvassed in
this article are commonly known, but it is always better to
practically appreciate them.
1.2. Which Comes First? Accuracy or
Precision
An important thing that is discussed (prior to
experiment) is preference among accuracy and precision.
Both are important but which one has priority, it has to be
understood. Usually people have different misconceptions
in treatment of data [12]. One of those is about giving
preference to accuracy or precision. A website has been
visited in August 2011 and also cited in this article [13]
showing a poll for choosing more important among
accuracy and precision. In such poll out of 22 participants,
12 gave preference to accuracy over precision. This is not
necessary to have same results of such polls every time
but usually the students of chemistry or analytical
chemistry also give importance to accuracy over precision.
That argument is exercised in current study. Details are
specified in subsequent text (see section 4.1.).
1.3. Why Standard Deviation?
Since precision is the closeness to the mean value of
data, therefore deviation (i.e. difference of each data point
with mean) can be one of the tools to know closeness of