Eric is comparing the credit scores of his friends. The scores he gathered are found in the list below.
-588
-838
-691
-818
-846
-725
-605
-732
-750

Among this batch of credit scores, find whether the mean or the median is higher, and how much higher it is. (Round to the nearest whole point, if applicable.)
a.
The mean is 113 points higher than the median.
b.
The mean is 1 point higher than the median.
c.
The median is 15 points higher than the mean.
d.
The median is 8 points higher than the mean.

Respuesta :

Okay, So To Find The Mean, We Need To Look At The Values.
-588,-838,-691,-818,-846,-725,-605,-732,-750
So, We Add Them, Then Divide.
-588+-838+-691+-818+-846+-725+-605+-732+-750
---------------------------------------------------------------------
                                      9
This Is -732.555556.Rounded Is -733
Now, The Median. The Middle Value. 
The Middle Value Is -846.
So, The Mean Is A, 113 Points Higher.

The correct answer is:


B) The mean is 1 point higher than the median.


Explanation:


First we write these scores in order from least to greatest. (Since these are credit scores, they are not negative numbers).


588, 605, 691, 725, 732, 750, 818, 838, 846


To find the median, we find the middle value of this ordered list. The middle value is 732.


To find the mean, we first add together all of the data points:


588+605+691+725+732+750+818+838+846 = 6593


Now we divide by the number of data points, 9:

6593/9 = 732.56 ≈ 733


This is higher than the median by

733 - 732 = 1 point.