Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • Solve this problem The followingdata gives the distribution of the height ofboys. Height 160 150 152 161 156 154 155 no of boys 12 8 4 4 3 3 7 In which of the distribution is.

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)

    154

  • Option 2)

    155

  • Option 3)

    160

  • Option 4)

    161

 

Answers (1)

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 \frac{N}{2}  is called the median class and the value of the median

= l+\frac{h}{f}\left ( \frac{N}{2}-c \right )

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 

N= \sum_{i=1}^{n}f_{i}

 

  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                                       

{\frac{N+1}{2}}^{th}\:observation\:=\:(\frac{41+1}{2})=(\frac{42}{2})^{th}=21^{th}

                                          => 155


Option 1)

154

This option is incorrect.

Option 2)

155

This option is correct.

Option 3)

160

This option is incorrect.

Option 4)

161

This option is incorrect.

Posted by

Vakul

View full answer

Similar Questions

Trending Articles/News

anam-khan

BITSAT 2024 registration window closes tomorrow; exam from May 20
anam-khan

BITSAT 2024 registration deadline extended till April 16; session 1 exam from May 19 to 24

Latest Question