SOLUTION: Please help me solve this:Tyre's test grades were: 76, 82, 95, 82, 78, 96, 91. His teacher will allow Tyre to choose the central tendency measure to be used for his test grades.

Question 131590: Please help me solve this:Tyre's test grades were: 76, 82, 95, 82, 78, 96, 91. His teacher will allow Tyre to choose the central tendency measure to be used for his test grades.
A. Which measure should Tyre use?
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
Given:
.
Tyre's test scores are 76, 82, 95, 82, 78, 96, 91
.
The three measures of central tendency are the mean, the median, and the mode.
.
Let's first look at the mode. The mode is the value that occurs the most often in the list.
In this case the mode is 82 because he has two tests with a grade of 82. All the other scores
in the list occur only once each. So, if Tyre elects to take the mode he will get a score of 82
for his test grades.
.
Next let's look at the median. The median is the "middle" score in the list. In order to find
the median, we arrange the scores in ascending order. When we do that the scores in order are:
.
76, 78, 82, 82, 91, 95, 96
.
As you read the scores from left to right, the middle score in the list is the second 82
because there are three scores below it (76, 78, and 82) and three scores above it (91, 95, and 96).
So if Tyre elects to take the median score he also gets an 82 for his test grades.
.
Now let's find the mean (or the average) score. To find the mean we add up all the test
scores and divide by the number of tests. So we add 76 + 78 + 82 + 82 + 91 + 95 + 96 and we
get a total of 600. Then we divide by the number of tests (7) and we find that 600/7 = 85.7143
.
This tells you that if Tyre elects to take the mean score he will get 85.7143 for his
test grades ... so he is better off if he takes the mean (or average score) as his test score.
.
Hope this helps you to understand the differences among mean, median, and mode.
.

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