(a)
Interpretation:
Absolute standard deviation and the coefficient of variation are to be determined for the given data.
=-1.4381
Concept introduction:
The spreading out of numbers is measured by the standard deviation which is symbolized by s. The standard deviation can be calculated by taking the square root of the variance. Relative standard deviation is known as the coefficient of variation represented as cv. It is calculated in percentage. It is calculated as the ratio of standard deviation and the mean.
(b)
Interpretation:
Absolute standard deviation and the coefficient of variation are to be determined for the given data.
=21.2625
Concept introduction:
The spreading out of numbers is measured by the standard deviation which is symbolized by s. The standard deviation can be calculated by taking the square root of the variance. Relative standard deviation is known as the coefficient of variation represented as cv. It is calculated in percentage. It is calculated as the ratio of standard deviation and the mean.
(c)
Interpretation:
Absolute standard deviation and the coefficient of variation are to be determined for the given data.
.
Concept introduction:
The spreading out of numbers is measured by the standard deviation which is symbolized by s. The standard deviation can be calculated by taking the square root of the variance. Relative standard deviation is known as the coefficient of variation represented as cv. It is calculated in percentage. It is calculated as the ratio of standard deviation and the mean.
(d)
Interpretation:
Absolute standard deviation and the coefficient of variation are to be determined for the given data.
Concept introduction:
The spreading out of numbers is measured by the standard deviation which is symbolized by s. The standard deviation can be calculated by taking the square root of the variance. Relative standard deviation is known as the coefficient of variation represented as cv. It is calculated in percentage. It is calculated as the ratio of standard deviation and the mean.
(e)
Interpretation:
Absolute standard deviation and the coefficient of variation are to be determined for the given data.
Concept introduction:
The spreading out of numbers is measured by the standard deviation which is symbolized by s. The standard deviation can be calculated by taking the square root of the variance. Relative standard deviation is known as the coefficient of variation represented as cv. It is calculated in percentage. It is calculated as the ratio of standard deviation and the mean.
(f)
Interpretation:
Absolute standard deviation and the coefficient of variation are to be determined for the given data.
Concept introduction:
The spreading out of numbers is measured by the standard deviation which is symbolized by s. The standard deviation can be calculated by taking the square root of the variance. Relative standard deviation is known as the coefficient of variation represented as cv. It is calculated in percentage. It is calculated as the ratio of standard deviation and the mean.
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Chapter A1 Solutions
Principles of Instrumental Analysis
- Estimate the absolute deviation and the coefficient of variation for the results of the following calculations. Round each result so that it contains only significant digits. The numbers in parentheses are absolute standard deviations. (1.203 (+0.004) × 103 + 1.625 (±0.005) × 102 – 34.012(±0.001) y = - %3D 3.9201 (±0.0006) × 10-3arrow_forwardA titrimetric method for the determination of calcium in limestone was tested with the analysis of a NIST limestone containing 30.15% CaO. The mean of the four analyzes is 30.26% CaO with a standard deviation of 0.085%. From the data accumulated from many analyzes, s→ϭ=0.094% CaO was found.a) Do the data indicate the presence of systematic error at the 95% confidence level?b) When a value for ϭ is unknown, do the data show a systematic error at the 95% confidence level?arrow_forwardFind the result (c) and the absolute standard deviation (sc) as propagated in the following calculation. Express final result and its propagated standard deviation with an appropriate number of significant figures. a = 5.75 (+0.05)+0.833 (±0.001); b = 3.75 (±0.02);c = albarrow_forward
- A solution is prepared by weighing 5.0000 g of cesium iodide into a 100-mL volumetric flask. The balance used has a precision of 0.2 mg reported as a standard deviation, and the volumetric flask could be filled with a precision of 0.15mL also reported as a standard deviation. What is the estimated standard deviation of concentration (g/mL)?arrow_forward[References) A method for the determination of the corticosteroid methylprednisolone acetate in solutions obtained from pharmaceutical preparations yielded a mean value of 3.7 mg mL with a standard deviation of 0.3 mg mL. For quality control purposes, the relative uncertainty in the concentration should be no more than 3%. How many samples of each batch should be analyzed to ensure that the relative standard deviation does not exceed 9% at the 95% confidence level? samplesarrow_forwardA method for the determination of the corticosteroid methylprednisolone acetate in solutions obtained from pharmaceutical preparations yielded a mean value of 3.7 mg mL with a standard deviation of 0.3 mg mL. For quality control purposes, the relative uncertainty in the concentration should be no more than 3%. How many samples of each batch should be analyzed to ensure that the relative standard deviation does not exceed 9% at the 95% confidence level? samplesarrow_forward
- 8) Two different analytical methods are compared for determining Ca. The following are two sets of data. Set 1 Set 2 155.779 155.784 155.787 155.787 155.813 155.765 155.781 155.793 i. i. Determine the mean and the standard deviation in Set 1. Calculate the 95% confidence limit for data in Set 1. Identify a possible outlier in Set 2. Use the Q-test to determine whether it can be retained or rejected at 95% confidence level. ii.arrow_forwardI need help with calculating the standard deviations and percent error- (experimental-theoretical/theoretical)*100.The theoretical values for the unknowns are water- 1.00g/mL, ethyl alcohol- 0.79g/mL and glycerol - 1.26g/mL. The down arrows mean the number is the same for that columnarrow_forward3-3 Types of Error; 3-4 Propagation of Uncertainty from Random Error (30 min) If A = 3.475 (+0.002), B = 87.336 (±0.001), C = 10.004 5 (±0.000 5), D = 11.8 (+0.2), and E = 5.10 (±0.03), report the answers of the following calculations with both the absolute uncertainty and the percent relative uncertainty. a) (A - B) XE c) b) (C+D)/(AXE) d) [(A+B+C) x (B-C-E)] / [DXE] (10-D)/(E/1000) Answer w/ absolute uncertainty: -428 (13) or -427.7 (±2.5) Answer w/% relative uncertainty: -428 (±0.6%) or -427.7 (±0.5⁹%) b) Answer w/ absolute uncertainty: 1.23 (±0.01) or 1.230 (+0.013) Answer w/ % relative uncertainty: 1.23 (±1%) or 1.230 (+1.1%) Answer w/ absolute uncertainty: 3 (±1) x 10-10 or 3.1 (±1.4) × 10-10 Answer w/ % relative uncertainty: 3 (±50%) x 10-10 or 3.1 (±46%) × 10-10 Answer w/ absolute uncertainty: 121 (±2) or 121.0 (+1.4) Answer w/ % relative uncertainty: 121 (±2%) or 121.0 (±1.8%)arrow_forward
- Principles of Instrumental AnalysisChemistryISBN:9781305577213Author:Douglas A. Skoog, F. James Holler, Stanley R. CrouchPublisher:Cengage Learning
- Principles of Modern ChemistryChemistryISBN:9781305079113Author:David W. Oxtoby, H. Pat Gillis, Laurie J. ButlerPublisher:Cengage Learning