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The exam grades of a pre-algebra class were arranged in a stem and leaf plot as illustrated. What is the arithmetic mean of the median and the mode of the given data?

4| 1
5| 2
6| 7 8 8
7| 1 1 2 3 3 3 5 6 8
8| 0 4 4 6 6 6 6 8
9| 1 3 5 5 7

 Dec 29, 2021
 #2
avatar+115897 
+1

 

 

1+1+3+9+8+5 = 27

there are 27 scores

the middle score will be (27+1)/2 = 14th

The 14th score is 78

So the median score is 78

 

There are 4 scores of 86,   This is the score that occurs most often.  So  Mode=86

 

The mean is the hardest one to get.  You have to add up all the scores

41+52+67+68+ .....etc.... =

then divide the the answer by 27

 Jan 3, 2022

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