Question

calculate the values of the mean for the following sub - sample: 2, 7, 4, 4, 1, 2, 2, 3, 1, 2, 4, 5.

Explanation:

Step1: Find the sum of the data

$$2 + 7+4 + 4+1 + 2+2 + 3+1 + 2+4 + 5$$
$$=(2 + 7)+(4 + 4)+(1 + 2)+(2 + 3)+(1 + 2)+(4 + 5)$$
$$=9+8 + 3+5+3+9$$
$$=(9 + 8)+(3 + 5)+(3 + 9)$$
$$=17+8+12$$
$$=37$$

Step2: Find the number of data points

Count the numbers: there are \(n = 12\) data points.

Step3: Calculate the mean

The formula for the mean \(\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}\). Substitute \(\sum_{i=1}^{n}x_{i}=37\) and \(n = 12\) into the formula. So \(\bar{x}=\frac{37}{12}\approx3.08\)

Answer:

The mean is approximately \(3.08\)