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Question
q3. answer the question for mode 1 62, 10, 24, 24, 10, 62, 24, 10, 62, 62 mean: median: mode: range: 24 62 35 52 q4. answer the question for range. 1 point 1 62, 10, 24, 24, 10, 62, 24, 10, 62, 62 mean: median: mode: range: 24 62 35 52
Step1: Calculate the mean
The mean is the sum of all numbers divided by the count. The sum of 62, 10, 24, 24, 10, 62, 24, 10, 62, 62 is \(62\times4 + 10\times3+24\times3=248 + 30+72 = 350\). There are 10 numbers. So the mean is \(\frac{350}{10}=35\).
Step2: Calculate the median
First, order the numbers: 10, 10, 10, 24, 24, 24, 62, 62, 62, 62. Since there are 10 (an even - numbered) data points, the median is the average of the 5th and 6th ordered values. \(\frac{24 + 24}{2}=24\).
Step3: Calculate the mode
The mode is the number that appears most frequently. 62 appears 4 times, 10 appears 3 times, and 24 appears 3 times. So the mode is 62.
Step4: Calculate the range
The range is the difference between the largest and the smallest number. The largest number is 62 and the smallest is 10. So the range is \(62-10 = 52\).
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Mean: 35
Median: 24
Mode: 62
Range: 52