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Question
jake made these miniature golf scores: 2, 3, 2, 4, 3, 3, 3, 4, 2, 3, 4, 2, 4, 4, 9, 3, 4, 4. match the measure to the corresponding value for these scores. range mean median mode 3.5 3 7 4
Step1: Arrange data in ascending order
2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 9
Step2: Calculate the range
The range is the difference between the maximum and minimum values. Maximum value = 9, minimum value = 2. So, range = 9 - 2 = 7.
Step3: Calculate the mean
The sum of all values is \(2\times5+3\times6 + 4\times7+9=10 + 18+28 + 9=65\). There are 19 values. Mean=\(\frac{65}{19}\approx3.42\approx3.5\).
Step4: Calculate the median
Since there are 19 values (an odd - numbered data set), the median is the \((\frac{19 + 1}{2})\)th value. The 10th value in the ordered data set is 3.
Step5: Calculate the mode
The mode is the value that appears most frequently. 4 appears 7 times, more frequently than any other number, so the mode is 4.
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range: 7
mean: 3.5
median: 3
mode: 4