Statistical Analyses (CHM 152/154) Typical Value The average value for a data set (collection of measurements or values) is the "typical" value for a data set. There are three different methods used to determine the average value of a data set in the everyday world. They are: Median - the middle value of a data set. Mode – the most often repeated value within a data set. Mean - the most probable value for a data set. Sample Data Set: Mass (g) Table 1 Final Volume Initial Volume 25 24 (mL) 12 (mL) 9. 10 13 25 13 8. 22 26 13 10 11 10 23 14 11 In scientific analyses, the mean average is the "typical" value most cited. It is calculated by: xi Mean = X = E N %3D %3D where the Xi symbol means to sum up the N terms, N= 6 in these cases, within the %3D data set. As an example,the mean mass in for the mass measurements in Table 1 is calculated by: 25 +24 +25 + 22+26 +23 Mean mass = 24.2, about 24 %3D This value is recorded in Table 2 below. Use the space below to calculate the mean value for the final volume and initial volume and record the results in Table 2. "Typical Values" Quantity Mass Final Volume Table 2 Mode 25 g 13 mL Median Mean 24 g 13 mL 24 g Initial Volume 1.0 mL 10 mL
Statistical Analyses (CHM 152/154) Typical Value The average value for a data set (collection of measurements or values) is the "typical" value for a data set. There are three different methods used to determine the average value of a data set in the everyday world. They are: Median - the middle value of a data set. Mode – the most often repeated value within a data set. Mean - the most probable value for a data set. Sample Data Set: Mass (g) Table 1 Final Volume Initial Volume 25 24 (mL) 12 (mL) 9. 10 13 25 13 8. 22 26 13 10 11 10 23 14 11 In scientific analyses, the mean average is the "typical" value most cited. It is calculated by: xi Mean = X = E N %3D %3D where the Xi symbol means to sum up the N terms, N= 6 in these cases, within the %3D data set. As an example,the mean mass in for the mass measurements in Table 1 is calculated by: 25 +24 +25 + 22+26 +23 Mean mass = 24.2, about 24 %3D This value is recorded in Table 2 below. Use the space below to calculate the mean value for the final volume and initial volume and record the results in Table 2. "Typical Values" Quantity Mass Final Volume Table 2 Mode 25 g 13 mL Median Mean 24 g 13 mL 24 g Initial Volume 1.0 mL 10 mL
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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