Isnin, 11 Julai 2016

Mean, median, and mode

Hello everyone, thanks for coming again..

Now, i'm going to teach you how to do mean, median, and mode step by step.

First of all, i want to explain first what is mean by Mean, median, and mode.

Mean, median, and mode are three kinds of "averages". There are many "averages" in statistics, but these are, I think, the three most common, and are certainly the three you are most likely to encounter in your pre-statistics courses, if the topic comes up at all.

The "mean" is the "average" you're used to, where you add up all the numbers and then divide by the number of numbers.

The "median" is the "middle" value in the list of numbers. To find the median, your numbers have to be listed in numerical order, so you may have to rewrite your list first.
The "mode" is the value that occurs most often. If no number is repeated, then there is no mode for the list.



Practice Examples
You will need paper, pencil and calculator.

1. 
The weekly salaries of six employees at McDonalds are $140, $220, $90, $180, $140, $200.  For these six salaries,
 find: (a) the mean (b) the median (c) the mode

Mean:    90+ 140+ 140+ 180 + 200 + 220 = 

                                      6                        
Median:    90,140,140,180,200,220

The two numbers that fall in the middle need to be
averaged.     140 + 180 = 160
 
Mode:   The number that appears the most is 140  




2.Andy has grades of 84, 65, and 76 on three math tests.  What grade must he obtain on the next test to
 have an average of exactly 80 for the four tests?84 + 65 + 76+ x   =   80(average) cross multiply 
                   4                                         and solve

                        (4)(80) = 225 + x
                             320 = 225 + x
                           -225   -225

                               95 = x 

               Andy needs a 95 on his next test.






3.In January of 2006, your family moved to a tropical climate.  For the year that followed, you recorded the 
number of rainy days that occurred each month.
  Your data contained 14, 14, 10, 12, 11, 13, 11, 11, 14, 10, 13, 8.
a.  Find the mean, mode, median and range for your data set of rainy days.
b.  If the number of rainy days doubles each month in the year 2007, what will be
     the mean, mode, median and range for the 2007 data?
c.  If, instead, there are three more rainy days per month in the year 2007, what will
    be the me

Answer

meanmodemedianrange
a.)11.75
11, 14
11.58 - 14
b.)23.2522, 282316 - 28
Notice that if you double each data entry, you double the mean, mode, median and range.
c.)14.7514, 1714.511 - 17
Notice that if you add three to each data entry, you add three to the mean, mode, median and range.











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