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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

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Answer

3.066

2 steps

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 $n=7$ .

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 $\boxed{3.066}$ .
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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