Question

consider the following data set: 10, 12, 11, 13, 14, 12, 13, 14, 13, and 12 the mean of the given data set is ________. 13.8 12.4 12.5 12

Explanation:

Step1: Calculate the sum of the data set

$$10 + 12+11 + 13+14+12+13+14+13+12$$
$$=(10)+(12\times3)+(11)+(13\times3)+(14\times2)$$
$$=10 + 36+11 + 39+28$$
$$=124$$

Step2: Calculate the number of data points

There are \(n = 10\) data points.

Step3: Calculate the mean

The formula for the mean \(\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}\). Substitute \(\sum_{i=1}^{n}x_{i}=124\) and \(n = 10\) into the formula: \(\bar{x}=\frac{124}{10}=12.4\)

Answer:

12.4