3,4,7,8,2,7 what is the mean, mode, median and range of this set of numbers

Mathematics

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Answer

31

Here's how to find the mean, mode, median, and range for the set of numbers: 3, 4, 7, 8, 2, 7.

  • Mean: The mean is the average of the numbers. Step 1: Add all the numbers together: 3 + 4 + 7 + 8 + 2 + 7 = 31 Step 2: Divide the sum by the count of numbers (which is 6): 31 / 6 = 5.17 (rounded to two decimal places). The mean is 5.17.

  • Mode: The mode is the number that appears most frequently in the set. Step 1: Look at the numbers: 3, 4, 7, 8, 2, 7. Step 2: The number 7 appears twice, which is more than any other number. The mode is 7.

  • Median: The median is the middle number when the set is ordered from least to greatest. Step 1: Order the numbers: 2, 3, 4, 7, 7, 8. Step 2: Since there is an even number of values (6), the median is the average of the two middle numbers (4 and 7). Step 3: Add the two middle numbers: 4 + 7 = 11. Step 4: Divide by 2: 11 / 2 = 5.5. The median is 5.5.

  • Range: The range is the difference between the highest and lowest numbers. Step 1: Identify the highest number (8) and the lowest number (2). Step 2: Subtract the lowest number from the highest number: 8 - 2 = 6. The range is 6.

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Quick Answer

Here's how to find the mean, mode, median, and range for the set of numbers: 3, 4, 7, 8, 2, 7.

3,4,7,8,2,7 what is the mean, mode, median and range of this set of numbers
Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI Answer
Here's how to find the mean, mode, median, and range for the set of numbers: 3, 4, 7, 8, 2, 7. Mean: The mean is the average of the numbers. Step 1: Add all the numbers together: 3 + 4 + 7 + 8 + 2 + 7 = 31 Step 2: Divide the sum by the count of numbers (which is 6): 31 / 6 = 5.17 (rounded to two decimal places). The mean is 5.17. Mode: The mode is the number that appears most frequently in the set. Step 1: Look at the numbers: 3, 4, 7, 8, 2, 7. Step 2: The number 7 appears twice, which is more than any other number. The mode is 7. Median: The median is the middle number when the set is ordered from least to greatest. Step 1: Order the numbers: 2, 3, 4, 7, 7, 8. Step 2: Since there is an even number of values (6), the median is the average of the two middle numbers (4 and 7). Step 3: Add the two middle numbers: 4 + 7 = 11. Step 4: Divide by 2: 11 / 2 = 5.5. The median is 5.5. Range: The range is the difference between the highest and lowest numbers. Step 1: Identify the highest number (8) and the lowest number (2). Step 2: Subtract the lowest number from the highest number: 8 - 2 = 6. The range is 6. Send me the next one 📸