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Create a List of Random numbers in Normal Distribution in R

R Programming: Basic Exercise-13 with Solution

Write a R program to create a list of random numbers in normal distribution and count occurrences of each value.

Note: Sample random numbers in normal distribution

Sample Solution :

R Programming Code :

# Generate 1000 random numbers from a normal distribution with mean 50 and standard deviation 100, and round them down to the nearest integer
n = floor(rnorm(1000, 50, 100))

# Print a message indicating that the following output is a list of random numbers
print('List of random numbers in normal distribution:')

# Print the generated random numbers
print(n)

# Create a frequency table of the occurrences of each unique value in 'n'
t = table(n)

# Print a message indicating that the following output is the count of occurrences of each value
print("Count occurrences of each value:")

# Print the frequency table
print(t)

Output:

[1] "List of random numbers in normal distribution:"
   [1]   70   -5   88 -110  174  -66   10    8  106   35  -48  -54   12  102
  [15]   67  -34   83  -75   71   35   24  109   -3    9  221  231  105  105
  [29]  -58   43  -39   65   40   78  181   57   60  103  262  232  -77   31
  [43]   47  -50  174   67   41   92  243  -88   11  197 -117  126  -99   82
  [57]  -76  245   27  -35  -79  -14 -278   -6   -3   79  229  -15  -11   52
  [71]  127  -14  150   42  184  -45  -37   87   11  146  124  158  113  166
  [85]  -11   47  -23  -99   63   -7    0   -2   30 -146  141   29   73  114
  [99]  -16  -14  116  -80  -29   22  352  -60  126   12  287   23   -7  149
 [113]   11   40   65  239   94  119   76   47  159  -75  103   91   88   51
 [127]  115   51 -170  224  144  133  272 -229  125  -32   39    8   62  105
 [141]   21  -70   51   31  223   31  -71  105  -73  -48  -50  117  208  229
 [155]   97  134  113   76 -137  -17 -160   -8  -30   53  161  -90  155   -9
 [169]  118  -83  101   91  201  146   18   -4   77  -76  142  141   43   95
 [183]  -56   55  -43 -151   68   51  180  142   53  -27   59   99   39   49
 [197]    4   14  201   55  159 -141  161 -113  -46  108  139  143  104    7
 [211]  -34   21  290  -53  117  245  -44   75  -89  -45  -19  -75   64  205
 [225]   27   22   18   99  -13  -25   33   16  281 -169  224  207  124  167
 [239]  113   81   42   74   59  -40  155  -40  112  -27    3   60    2   82
 [253]  158   78  117  -55  172    6  149  209  -52  -88   62  158   71   34
 [267]  146  179   22   92  187  178   -3  119  -25  165  -27   10   58  -25
 [281]  -37  155  -47   27  -44  -57   57    8  -89  142   52  -19 -116  -80
 [295]  -55   71  239  187  -55   53 -115 -132   95   21  -48   34   72   -8
 [309]   71   70   93 -190  192  189  -72  -19   37  164  -91   30 -109  -79
 [323]   11  164  277  -89  156  279  -25   11   78   27    2   16  -34   51
 [337]   21 -124   51 -107   51   19  331   77    2  144  103  -13   77  -52
 [351]   -9   33   54   56  108  204  -24   -5  109  -20   35  -25   61  -20
 [365]  -33  172  -98   39  131  -72    2   47  168   46   -8  215 -126  154
 [379]  167   17  128  185   95   12  -14  -49  -78  246   11   15 -214 -160
 [393]  265 -134   61  -54  -38  -26  156   25   41  108  114   72  -45  -29
 [407]  178   55   65   88   44    1 -141  136  152   50   74  229  132   -3
 [421]   70   -7  115  101  -53  -42   75 -159    8  118  -48  115   38  -17
 [435]  121 -170  189  126   53  -10  119  -50   98  -20  161  -48   24  -54
 [449]  -47 -101  121   33  179  319   26   80  -61  -77   19  186  129  185
 [463]  338  -46  102 -303   98  230  109  -74  -37   78  -58  212   82   57
 [477]  186  154   76    6 -111 -119  -23   24   25  148  -39  -49  -36  175
 [491]  139   46  138    5 -113   86  -89  301  118  -66  102  207   57  165
 [505]   18   63  105   67   87  -90  -77  -81  197  286 -169   22   28   60
 [519]   58   27   47   49  162   87  -88  189  -63   57  126  -30   70   83
 [533]  -79 -160 -110    3  -17  141  164   60  -54   24  -96  120  242  -17
 [547]  181  -64  147   47    3   62 -195 -148  246  145   98  -50  -42  -24
 [561]   94  159   10  211 -129  115 -111  127   -9  -80  -83  108  121   13
 [575]   13 -120   20   46  -91   41  -54   36  -39  245   -6    7  264   67
 [589]  -18   13    0  -76  195  125  102  -43   23   97 -107   89   49   56
 [603]   65  -98   94  111  241  -29  262   17   80   50  -32  100  182  201
 [617]  115  259   52  181  121   93  192  126   96 -126  263  130 -194   14
 [631]   16  173   87  -39  172  126  160   91  185  192   99  152    3 -107
 [645]   46  -88   98  -80   98  209 -129   58   16  206   76  119  116  329
 [659]  162  -14  195  -13  238  199  208  -82   99   62   74  165  187  111
 [673]    3   60   60  -19  -35  176  -94    4  244   47  130   -2   34  175
 [687]   53   14   14   29  171  136  -21  217   87  117   80   -4  -23  197
 [701]  113  267    4  -76   12    7   42  242   63   61   41  -29   77  243
 [715]  124  -78  -43   58   67   73    3   70   97   49  140 -104  166  -34
 [729]  -58  142  -50  113   46  126  119   60   28  223   64  164   71  -76
 [743]   93   21  -23  166    6   26   -4   66   83   61   75   45  134   23
 [757]   62  117  -14  218   36   41  -73   42  196   53   52  -21   19  -74
 [771]  -31   47   45  -36   53  -63  173   41  133  -77  222  200  158  202
 [785]   -4  272  101  192  167   74  133   85  -84  -42  108  147  -82   46
 [799]  -90  111  163  -74   20   22    1  -73  238   85  112   41   36   52
 [813]   39    2   21 -104  155 -161  199 -149   20  109  111   81 -137   53
 [827]  212  -51  -15  116   -3  119   71  110  -35   98  -88    0  -34   93
 [841]   39  -65  125   13  142  -29 -153  -32  -19   22  176 -248  136  155
 [855]  -10   15   30   17   76  214  170   61  -98  108   -7  100   37   93
 [869]    1  -12  -35  154  200  100   -4  168  162    6  198  164  -45  -56
 [883]  106   84  162  163   66   -9   93   43  195   56  -16   76   57  236
 [897]   85  106  -72   70 -170  166  -57  110  -17   77  314 -225  134 -140
 [911]   95  134   -3   67  236  -23  162  -13   47  232  -74  -15  164 -100
 [925]   80   20  -72   33  192  159   87  170   95  -33  154  -21  139  156
 [939]  -74  138  136   41   73   88  253  129  -12   24   22  -13   15   52
 [953]   58  -39   85   67  -28    7   38  -40  170   95   -4   89  131   55
 [967]   78   60  -43   81  -54  -78   32   33  -36  215  -64   58   18  -87
 [981]  163   74  288  -44   17 -122  143  116  192   29  144    6  180 -124
 [995]  167  -62   53  -30   62  158
[1] "Count occurrences of each value:"
n
-303 -278 -248 -229 -225 -214 -195 -194 -190 -170 -169 -161 -160 -159 -153 -151 
   1    1    1    1    1    1    1    1    1    3    2    1    3    1    1    1 
-149 -148 -146 -141 -140 -137 -134 -132 -129 -126 -124 -122 -120 -119 -117 -116 
   1    1    1    2    1    2    1    1    2    2    2    1    1    1    1    1 
-115 -113 -111 -110 -109 -107 -104 -101 -100  -99  -98  -96  -94  -91  -90  -89 
   1    2    2    2    1    3    2    1    1    2    3    1    1    2    3    4 
 -88  -87  -84  -83  -82  -81  -80  -79  -78  -77  -76  -75  -74  -73  -72  -71 
   5    1    1    2    2    1    4    3    3    4    5    3    5    3    4    1 
 -70  -66  -65  -64  -63  -62  -61  -60  -58  -57  -56  -55  -54  -53  -52  -51 
   1    2    1    2    2    1    1    1    3    2    2    3    6    2    2    1 
 -50  -49  -48  -47  -46  -45  -44  -43  -42  -40  -39  -38  -37  -36  -35  -34 
   5    2    5    2    2    4    3    4    3    3    5    1    3    3    4    5 
 -33  -32  -31  -30  -29  -28  -27  -26  -25  -24  -23  -21  -20  -19  -18  -17 
   2    3    1    3    5    1    3    1    5    2    5    3    3    5    1    5 
 -16  -15  -14  -13  -12  -11  -10   -9   -8   -7   -6   -5   -4   -3   -2    0 
   2    3    6    5    2    2    2    4    3    4    2    2    6    6    2    3 
   1    2    3    4    5    6    7    8    9   10   11   12   13   14   15   16 
   3    5    6    3    1    5    4    4    1    3    6    4    4    4    3    4 
  17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32 
   4    4    3    4    6    7    3    5    2    2    5    2    3    3    3    1 
  33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   49 
   5    3    3    3    2    2    5    2    8    4    3    1    2    6    9    4 
  50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65 
   2    7    6    9    1    4    3    6    6    2    8    5    6    3    2    4 
  66   67   68   70   71   72   73   74   75   76   77   78   79   80   81   82 
   2    7    1    6    6    2    3    5    3    6    5    5    1    4    3    3 
  83   84   85   86   87   88   89   91   92   93   94   95   96   97   98   99 
   3    1    4    1    6    4    2    3    2    6    3    6    1    3    6    4 
 100  101  102  103  104  105  106  108  109  110  111  112  113  114  115  116 
   3    3    4    3    1    5    3    6    4    2    4    2    5    2    5    4 
 117  118  119  120  121  124  125  126  127  128  129  130  131  132  133  134 
   5    3    6    1    4    3    3    7    2    1    2    2    2    1    3    4 
 136  138  139  140  141  142  143  144  145  146  147  148  149  150  152  154 
   4    2    3    1    3    5    2    3    1    3    2    1    2    1    2    4 
 155  156  158  159  160  161  162  163  164  165  166  167  168  170  171  172 
   5    3    5    4    1    3    5    3    6    3    4    4    2    3    1    3 
 173  174  175  176  178  179  180  181  182  184  185  186  187  189  192  195 
   2    2    2    2    2    2    2    3    1    1    3    2    3    3    6    3 
 196  197  198  199  200  201  202  204  205  206  207  208  209  211  212  214 
   1    3    1    2    2    3    1    1    1    1    2    2    2    1    2    1 
 215  217  218  221  222  223  224  229  230  231  232  236  238  239  241  242 
   2    1    1    1    1    2    2    3    1    1    2    2    2    2    1    2 
 243  244  245  246  253  259  262  263  264  265  267  272  277  279  281  286 
   2    1    3    2    1    1    2    1    1    1    1    2    1    1    1    1 
 287  288  290  301  314  319  329  331  338  352 
   1    1    1    1    1    1    1    1    1    1                          

Explanation:

  • n = floor(rnorm(1000, 50, 100)):
    • Generates 1000 random numbers from a normal distribution with a mean of 50 and a standard deviation of 100 using the rnorm function.
    • The floor function rounds each generated number down to the nearest integer.
    • The result is stored in the variable n.
  • print('List of random numbers in normal distribution:'):
    • Prints a message to indicate that the list of generated random numbers will follow.
    • >
  • print(n):
    • Prints the list of 1000 random numbers (now rounded to the nearest lower integer).
  • t = table(n):
    • Creates a frequency table of the values in n using the table function.
    • The table t stores the count of occurrences of each unique value in n.
  • print("Count occurrences of each value:"):
    • Prints a message to indicate that the counts of each unique value will be displayed next.
  • print(t):
    • Prints the frequency table t, showing how many times each unique integer value appears in the list n.

R Programming Code Editor:



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