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
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