Question

the mean of the data set {7, 2, 5, 1, 12, 3, 7} is about _____. 5.286 3.773 6.167

Explanation:

Step1: Find the sum of the data set

To find the mean, we first need to sum all the values in the data set. The data set is \(\{7, 2, 5, 1, 12, 3, 7\}\). So we add them up: \(7 + 2 + 5 + 1 + 12 + 3 + 7\). Let's calculate that: \(7+2 = 9\), \(9+5 = 14\), \(14+1 = 15\), \(15+12 = 27\), \(27+3 = 30\), \(30+7 = 37\). So the sum is \(37\).

Step2: Find the number of data points

The data set has 7 elements (since there are 7 numbers: 7, 2, 5, 1, 12, 3, 7).

Step3: Calculate the mean

The mean is the sum divided by the number of data points. So the mean \(=\frac{37}{7}\approx5.286\) (rounded to three decimal places).

Answer:

5.286