find the mean , mode, range , mediam for the following set of data

16 , 40 , 44 , 16 ,40 , 40 , 80 , 17 , 64 , 64 , 100

Arrange these numbers in ascending order

 16,16,17,40,40,40,44,64,64,80,100

 Mean =  

  = 

=  

= 47.36

Here , we have total 11 numbers of observation so,

Median  = ]th term

   = 12/2 th term

  = 6th term

  = 40

Range = largest term – smallest term

  = 100 – 16

  = 84

Mode = the observation which is occurred maximum number of time

 So, it is 40 which is occurred most number of times i.e. 3

Hence mode = 40

  • 1

Solution:

Let us first arrange the set of data in ascending order = 16, 40, 44, 16, 40, 40, 80, 17, 64, 64, 100

Ascending Order = 16, 16, 17, 40, 40, 40, 44, 64, 64, 80, 100.

The mean of the set of data = (32+17+120+44+128+80+100)/11 = 521/11 = 47.36.

Mode of the data = 40.

Median of the set of data = 40.

Range of the set of the data = 100 - 16 = 84.

  • 2
What are you looking for?