SOLUTION: Find the mean, median and mode for the data listed.... 60, 68, 72, 78, 70, 69, 70, 71

Algebra ->  Functions -> SOLUTION: Find the mean, median and mode for the data listed.... 60, 68, 72, 78, 70, 69, 70, 71      Log On


   



Question 160896: Find the mean, median and mode for the data listed....
60, 68, 72, 78, 70, 69, 70, 71

Answer by Edwin McCravy(20059) About Me  (Show Source):
You can put this solution on YOUR website!

Find the mean, median and mode for the data listed....
60, 68, 72, 78, 70, 69, 70, 71

The MEAN (ordinary average):
The mean is exactly the same thing as the ordinary average 
that you learned how to find back in elementary or middle
school.

(1) Add up all the numbers.

60+68+72+78+70+69+70+71=558

(2) Count the numbers.

There are 8 numbers.

(3) Divide the sum of all the numbers by the number of numers.

558÷8=69.75    

The mean is 69.75

The MEDIAN (sounds like "middle", the number in the middle)

(1) Arrange the numbers in order from smallest to largest

60, 68, 69, 70, 70, 71, 72, 78

(2) If the number of numbers is odd, the median is the 
middle-sized number.  If the number of numbers in even, 
the median is the mean of the middle two numbers.

There are 8 numbers here, so the median is the average of
the middlet two numbers.  These number are both 70. So
the mean of 70 and 70 is of course 70.

So the median is 70.

The MODE (sounds like "more" and "most")

60, 68, 69, 70, 70, 71, 72, 78

There are MORE 70's than any other number,
so the MODE is 70.

Edwin