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Question
jake made these miniature golf scores: 2, 3, 2, 4, 3, 3, 3, 3, 2, 3, 4, 2, 3, 4, 4, 9, 3, 4, 4. match the measure to the corresponding value for these scores.
Step1: Calculate the range
The range is the difference between the maximum and minimum values.
The maximum value is \(9\), the minimum value is \(2\).
\(9 - 2=7\)
Step2: Calculate the mode
The mode is the value that appears most frequently.
The number \(3\) appears \(7\) times, which is more frequent than other numbers.
Step3: Calculate the median
First, sort the data: \(2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,9\)
There are \(19\) data points. The median is the \(\frac{19 + 1}{2}=10^{th}\) value.
The \(10^{th}\) value is \(3\).
Step4: Calculate the mean
The sum of the data is \(2\times5+3\times7 + 4\times6+9\times1=10 + 21+24 + 9=64\)
The mean is \(\frac{64}{19}\approx3.37\approx3.5\) (rounded to one decimal place)
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range - \(7\), mode - \(3\), median - \(3\), mean - \(3.5\)