Question

A sample of 20 Ohio University students were randomly selected and asked, “How many phone calls did you receive last night?” The numbers below are their responses.

1  2  0  2  4  2  3  4  5  3  4  5  6 0  3  10  7  6  7  11

Compute the median of the distribution.

a. 4

b. 5

c. 3

d. 7

Answer 1

A sample of 20 Ohio University students were randomly selected and asked, “How many phone calls did you receive last night?” The numbers below are their responses.

1  2  0  2  4  2  3  4  5  3  4  5  6 0  3  10  7  6  7  11

Compute the median of the distribution.

Answer :  a. 4

## first arrange all the observation in ascending order :

x = ( 0 , 0 , 1 , 2, 2, 2, 3, 3, 3, 4, 4, 4 , 5, 5, 6, 6, 7, 7, 10, 11 )

here n is even : n

median = [( n /2 ) th + (n/2 +1 ) th] /2 th observation

= [ 10 +11 ] /2  

= 10.5 th observation  

= ( 4+4 ) /2

= 4