what is the mean of the data set below? 12, 15, 10, 11

Answer

Explanation:

Step1: Recall mean formula

The mean $\bar{x}$ of a data - set $x_1,x_2,\cdots,x_n$ is $\bar{x}=\frac{\sum_{i = 1}^{n}x_i}{n}$, where $\sum_{i = 1}^{n}x_i$ is the sum of the data - values and $n$ is the number of data - values.

Step2: Calculate the sum of data values

Here, $x_1 = 12$, $x_2=15$, $x_3 = 10$, $x_4 = 11$. The sum $\sum_{i=1}^{4}x_i=12 + 15+10 + 11=48$.

Step3: Determine the number of data values

The number of data values $n = 4$.

Step4: Calculate the mean

Using the formula $\bar{x}=\frac{\sum_{i = 1}^{n}x_i}{n}$, we substitute $\sum_{i = 1}^{4}x_i = 48$ and $n = 4$. So, $\bar{x}=\frac{48}{4}=12$.