Question

Consider a sample with data values of 55, 53, 70, 54, 51, 62, 65, 72, 51, 57, and 50. Compute the mean, median, and mode.

If required, round your answers to two decimal places.

Mean	=
Median	=
Mode	=

Answer 1

Solution:

The sample mean is

Mean = (x / n) )

= ( 55+53+70+54+51+62+65+72+51+57+50 /11 )

=640 /11

=58.181

Mean = 58.18

Median :
Observations in the ascending order are :
50,51,51,53,54,55,57,62,65,70,72

Here, n=11 is odd

.M= value of (n+1 ) / 2)^th observation

= value of (11+12)^th observation

= value of 6^th observation

=55

Median = 55

Mode :
In the given data, the observation 51 occurs maximum number of times (2)

∴Z=51