SAMPLE DESCRIPTIVE STATITISTICS

SAMPLE DESCRIPTIVE STATITISTICS

1. SAMPLE MEAN

   • AVERAGE
   • PROPERTIES
     • POINT ESTIMATOR
     • UNBIASED
     • CONSISTENT
       • THE PROBABILITY OF ITS SAMPLING ERROR
         • CONVERGES TO 0
           • AS WE INCREASE N
     • ASYMPTOTICALLY NORMAL
       • THE SAMPLE MEAN
         • CONVERGES TO
           • STANDARD NORMAL DISTRIBUTION
             • AS N -> ∞
   • OUTLIER SENTIVE

2. SAMPLE MEDIAN

   • OUTLIER ROBUST
   • DISCRETHE
     • P(X<M) <= 0.5
   • CONTINUOUS
     • P(X<=M) = F(M) = 0.5
   • COMPUTATION
     • ORDERED SET OF SAMPLES
       • N IS ODD
       • N IS EVEN

3. OUTLIEAR

   • OBSERVATION
     • NO IN THE STUDIED DISTRIBUTION

4. QUANTILES & PERCENTILES -> QUARTILES

   • DETECTING OUTLIERS
     • IQR = Q3 - Q1
       • LOW BOUNDARY
         • Q1 - 1.5*(IQR)
       • UP BOUNDARY
         • Q3 + 1.5*(IQR)

5. HISTOGRAMS

   • FREQ
     • #EVENTS/BIN
   • RELATIVE FREQ
     • #EVENTS/ TOTAL # BIN
   • HELPS
     • TO DETERMINE
       • THE DISTRIBUTION

6. BOXPLOTS

   • FIVE POINT SUMMARY

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