Calculate the mean and range for the following data points: 2.75, 2.86, 3.57, 2.62, 3.49, 3.05, 3.12.

March 31, 2026Mathematics

ScanSolve AI Answer

March 31, 2026

Answer

3.066

The given data points are: $2.75, 2.86, 3.57, 2.62, 3.49, 3.05, 3.12$ . The number of data points is $n=7$ .

Step 1: Calculate the Mean ( $\bar{x}$ ) The formula for the mean is: $\bar{x} = \frac{\sum x}{n}$ First, sum all the data points: $\sum x = 2.75 + 2.86 + 3.57 + 2.62 + 3.49 + 3.05 + 3.12 = 21.46$ Now, divide the sum by the number of data points: $\bar{x} = \frac{21.46}{7} \approx 3.065714$ Rounding to three decimal places: $\bar{x} \approx 3.066$ The mean is $\boxed{3.066}$ .

Step 2: Calculate the Range The range is the difference between the maximum and minimum values in the dataset. First, identify the minimum and maximum values:

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Quick Answer

The given data points are: 2.75, 2.86, 3.57, 2.62, 3.49, 3.05, 3.12. The number of data points is n=7.

Asked on March 31, 2026Mathematics

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 AnswerAnswered on March 31, 2026

The given data points are: 2.75, 2.86, 3.57, 2.62, 3.49, 3.05, 3.12. The number of data points is n=7. Step 1: Calculate the Mean (x) The formula for the mean is: x = ( x)/(n) First, sum all the data points: x = 2.75 + 2.86 + 3.57 + 2.62 + 3.49 + 3.05 + 3.12 = 21.46 Now, divide the sum by the number of data points: x = (21.46)/(7) ≈ 3.065714 Rounding to three decimal places: x ≈ 3.066 The mean is 3.066. Step 2: Calculate the Range The range is the difference between the maximum and minimum values in the dataset. First, identify the minimum and maximum values: