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Question
finding the mean and median
miriams study group received test scores of 96, 81, 82, 99, 94, 92, 95, 82, and 80. find the mean and median scores.
the mean is 80
the median is 92
Step1: Calculate the Mean
First, sum all the test scores: \(96 + 81 + 82 + 99 + 94 + 92 + 95 + 82 + 80\). Let's compute that: \(96+81 = 177\), \(177+82 = 259\), \(259+99 = 358\), \(358+94 = 452\), \(452+92 = 544\), \(544+95 = 639\), \(639+82 = 721\), \(721+80 = 801\). There are 9 scores, so the mean is \(\frac{801}{9}=89\).
Step2: Calculate the Median
First, order the scores from least to greatest: \(80, 81, 82, 82, 92, 94, 95, 96, 99\). There are 9 values, so the median is the 5th value, which is 92.
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Mean: \(89\), Median: \(92\)