the scores of several classmates on a math test are shown below: 91 points 77 points 90 points 79 points 81 points 85 points 86 points 76 points 75 points 80 points what is the median score for these students? 80 points 80.5 points 81 points 81.5 points
first we put them in order
75,76,77,79,80,81,85,86,90,91
the median is the middle number...however, in cases where there are an even number of numbers, ur gonna have 2 middle numbers....so u take the average of those 2 numbers...basically, u add them and divide by 2.
So we have 2 numbers in the middle.....we add them and divide by 2 to get the median.
(80 + 81) / 2 = 161/2 = 80.5 <== the median
The median score for the students is option (B) 80.5 points
In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample.
Given,
The scores = 91, 77, 90, 79, 81, 85, 86, 76, 75 and 80
Arrange the score from lowest to highest
75, 76, 77, 79, 80, 81, 85, 86, 90 and 91
Middle terms are 5th and 6th term
Median = \(\frac{80+81}{2}=80.5\)
Hence, the median score for the students is option (B) 80.5 points
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