Application of Statistical Concepts in the Determination of Weight Variation in Samples

Bucaneg, Art Philippe

2011-09543

Experiment 1

Sample Calculations:

Q-Test

Qexperimental= Xq-XnR

= 6.0916-5.47730.8076

=0.7606

Average

X=i=1nXin=(X1+X2+X3+…Xn)n

=5.4032+5.2840+6.0916+5.3940+5.4773+5.49226

=5.5237

r=60.00022

=0.0005

Standard Deviance

s=i=1nXi-X2n

=5.4032-5.52372+5.2840-5.52372+6.0916-5.52372+5.3940-5.52372+5.4773-5.52372+5.4922-5.523726

=0.29298

Relative Standard Deviation

RSD=sX*1000

=0.292985.5237*1000

=56.288

Range

R=Xhighest-Xlowest

=6.0916-5.2840

=0.8076

r=20.00022

=0.0003

Relative Range:

RR=RX*1000

=0.80765.5237*1000

=146.2

r=0.14620.80760.00030.807620.14622

=0.0003

Confidence Limits

CL=X±tsn

r=tsn

=2.450.0287916

=0.289

Answers to Guide Questions:

1. To determine closeness or conciseness between data values.

2. To determine if the data values acquired during experimentation can be considered as a valid result.

3. To determine if a questionable data value can be considered a valid data value used for computation.

4. Statistical analysis from set 2 is more accurate due to having more trials, making the margin for deviation smaller.

5. To determine the closeness or conciseness between data sets

6. Types of Error

a. Systematic – problem with equipment resulting to error

b. Random – Temperature that can affect the results and calculations

c. Gross – breaking a set-up halfway through the experiment

7.

8. To avoid oils or liquids from the experimenters’ hands from making contact with the coins, adding mass to the coins, making the measurements inaccurate.

9.