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Answer :
Answer:
Median = 12
Step-by-step explanation:
The given data set which shows Grade 11 math scores
10, 11, 12, 11, 13, 15, 15, 13, 12, 11, 10, 9, 13, 12, 11, 10, 9, 13, 13, 12, 11, 10, 11, 12, 13, 15, 13, 12, 11, 10, 20, 20
The median of a set of numbers is the value separating the higher half from the lower half
To find the median we first arrange the data in ascending order and find the middle value. If the data set is odd there is only one value in the middle; if the data set is even we take the average of the two middle values
Let's arrange the data set in ascending order:
9, 9, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 15, 15, 15, 20, 20
There are 32 values
Therefore the middle two values are the 16th and 17th boldfaced above
They are both 12
Average of 12 and 12 = 12
Therefore the median of the data set is 12
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