Question

Calculate the following measures of center for the following data. Be sure to round correctly.

699       702       952       677       764       356       773

A) Mean = ___________

B) Median = ___________

C) Mode = ___________

D) Midrange = ___________

Answer 1

Solution

The sample mean is

A ) Mean = (x / n) )

= =699+702+952+677+764+356+773/7

=4923/7

=703.2857


B ) Median :
Observations in the ascending order are :
356,677,699,702,764,773,952

Here, n=7 is odd.

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

= value of (7+1/2)th observation

= value of 4th observation

=702


C ) Mode :
In the given data, no observation occurs more than once.
Hence the mode of the observations does not exist, means mode=0.

D) Mid range = Maximum value + Minimum value / 2

= ( 952 + 356) / 2

= 1308 / 2

= 654

Mid range = 654