Central Tendency

                     Lesson 1

                                                            

                                                             Problem:       For what value of x will 8, 12, and x have the same mean (average) as that of 24 and 12?

                                                             Step 1:                    The mean of 24 & 12 = (24 + 12)/2 = 18

                                                 

                     

                                                                                 Step 2:                          Now, find the value of x, knowing that the average of x and 8 must be 18:

                                                                                               

 (x + 8 + 12)/3 = 18              
                                                                  

 54 = x + 20 

                                                                                

                                                                                 Step 3:                         x = 54-20

                                                                                               

                                                                                                 x = 34

Step 4:                     The answer is:  34

                                                                       

                                                              

                                                                                                                               

                                                             Try two practice problems:  

 

A. For what value of x will 6, 10, and x have the same mean (average) as that of 20 and 14?
   
B. On his first 5 Math tests, David received the following scores:  48, 64, 70, 78 and 62.  What test score must David earn on his sixth test so that his average (mean score) for all six tests will be 60?

 

 

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