statistics

mean average

median median

mode the mode

prctile quartile, also known as quartiles, all numerical values refer to ascending and arranged into four equal parts in the statistics, the value in the three division points positions

>> load stockreturns
>> x4=stocks(:,4)

x4 =

    2.9914
    2.6204
   -0.3624
    2.2094
   -2.4079
    2.9277
   -1.0281
   -3.3567
    1.9482
    2.3593
    3.5894
   -0.8645
   -2.1599
   -3.8850
   -0.3494
   -0.8930
    1.7893
   -0.7141
   -1.2013
   -3.3592
    0.6673
    3.7411
    2.1308
    2.6651
    0.9303
   -1.6121
    0.4302
    2.4841
   -1.9898
    4.5561
    2.5903
   -0.1640
    1.3072
   -0.4932
   -4.1415
   -0.1348
    3.2650
   -3.1646
   -0.6340
   -0.7101
   -4.3216
    0.6100
   -1.5280
    0.2114
   -1.4884
    0.9389
    1.1603
   -0.0880
   -2.7591
    3.3299
   -0.2885
    2.2003
   -4.3053
    0.4916
    0.4022
   -0.9178
   -5.8764
   -5.4219
    2.9621
   -3.1092
    2.1127
    0.8175
   -2.1854
    0.6762
    0.4983
    6.4692
    0.7895
    2.4106
    0.6763
   -2.7782 
   -1.6733 
   -0.2882 
   -2.2267 
   -1.2758 
   -2.3091 
    1.4615 
   -1.2334 
   -1.2778 
    1.9237 
   -1.3201 
    0.4338 
    0.5043 
   -1.7769 
    1.5579 
    2.9013 
    1.1645 
   -0.6437 
    1.6442 
   -0.8432 
   -0.4492 
   -2.8875 
    1.0591 
   -2.0462 
    3.6961 
    3.9568 
   -5.0162 
    0.3851 
    0.5334 
    1.4381 
   -0.7173 

>> = Mean ex.mean (X4) 

EX = 

  contains the following fields of the struct:

    Mean: -5.8728e-04 

>> ex.median = Median (X4) 

EX = 

  struct contains the following fields: 

      Mean: -5.8728e-04 
    Median: 0.0617 

>> ex.mode MODE = (X4) 

EX = 

  contains the following fields the struct: 

      Mean: -5.8728e-04 
    Median: 0.0617 
      MODE: -5.8764 

>> EX 

EX = 

  struct contains the following fields: 

      Mean: -5.8728e-04 
    Median: 0.0617 
      MODE: -5.8764

x=1:14;
freqy=[1 0 1 0 4 0 1 0 3 1 0 0 1 1];%频数
subplot(1,3,1);bar(x,freqy);xlim([0 15]);
subplot(1,3,2);area(x,freqy);xlim([0 15]);
subplot(1,3,3);stem(x,freqy);xlim([0 15]);

boxplot

%boxplot
marks=[80 81 81 84 88 92 92 94 96 97];
boxplot(marks);
prctile(marks,[25 50 75]);%prctile百分数 25% 50% 75%

skewness coefficient of skewness

X = randn Returns a random scalar obtained from the standard normal distribution.

>> x=randn([10 3])*3;
x(x(:,1)<0,1)=0;
x(x(:,3)>0,3)=0;
boxplot(x,{'Right-skewed','Symmetric','Left-skewed'});
y=skewness(x)

y =

    0.6710    0.9900   -1.4245

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