The following data  gives the distribution of the height  of boys.  Height 160 150 152 161 156 154 155 no of boys 12 8 4 4 3 3 7 In which of the distribution is.  Option 1) Option 2) Option 3) Option 4) 161

As we discussed in concept

MEDIAN -

For Grouped discrete frequency distribution :

In case of continuous frequency distribution the class corresponding the cumulative frequency Just greater than   is called the median class and the value of the median

l = the lower limit of the median class.

f = the frequency of the median class.

h = the magnitude of the median class.

c = the cumulative frequency of the class preceding the median class

- wherein

where

Height                               No. of Boys                                       Now arrange in ascending order

160                                      12                                                      Height                             No. of boys                             c.f

150                                       18                                                     150                                    18                                          8

152                                       4                                                       152                                     4                                          12

161                                       4                                                       154                                     3                                          15

156                                       3                                                       155                                     7                                          22

154                                       3                                                       156                                     3                                          25

155                                       7                                                       160                                     12                                        37

161                                    4                                           41

—                                         —

41

=> 155

Option 1)

This option is incorrect.

Option 2)

This option is correct.

Option 3)

This option is incorrect.

Option 4)

161

This option is incorrect.