Slide 1

MI 362Measurement and Instrument

13/1/2014L 1Lecture 5Generalised Characteristics o Measuring SystemSignificant digitBasic StatisticsHistogramBasic Statistics

PopulationEntire collection of measurements, not all will be put to analysisSampleSubset of populationSamples are selected from various lotsMean, median, mode, standard deviationBasic statisticsHistogramBar chartProbability histogram (relative frequency)Vertically normalized histogram (total area under bins adds upto unity and each bin is has area equal to the probability of measurements in that bin)Number of bins: Rice rule

Basic statistics

Types of Histograms

Probability Density FunctionA smooth curve fitted through the vertically normalized histogramSmooth limit of VNH (as number of bins tends to very large value)

Gaussian or Normal Distribution