The frequency distribution shows the number of registered motor vehicles for a random sample of 200 California households. (a) Find the mean number of registered vehicles per California household.

_vehicles
(b) Find the median number of registered vehicles per California household.

___vehicles

1). Mean = 2.275

2). Median = 2 vehicles

Step-by-step explanation:

From the given table,

Number of vehicles (x)         Frequency (f)      (f)×(x)             Cumulative freq.

                  0                                    11                  0                           11

                  1                                     52                52                        63

                  2                                    66                132                      129

                  3                                    35                105                      164

                  4                                    19                  76                       183

                  5                                    12                  60                       195

                  6                                     5                  30                       200

Number of households = 200

Mean =

          =

         = 2.275

Median = value of observation

             = value of observation

             = Value of 100.5th observation

             = Since 100.5th observation lies in the row of cumulative freq. = 129

             = 2

Therefore, median number of registered vehicles per California household

= 2 vehicles

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