Question

find the mean of the data set. 12.18 12.05 11.88 11.97 11.94 12.01 12.11 (1 point) 12.02 12.03 12.05 12.01

Explanation:

Step1: Sum up all the data values

$$12.18 + 12.05+11.88 + 11.97+11.94 + 12.01+12.11$$
$$=(12.18+12.05)+(11.88 + 11.97)+(11.94 + 12.01)+12.11$$
$$=24.23+23.85+23.95+12.11$$
$$=(24.23+23.85)+(23.95+12.11)$$
$$=48.08+36.06$$
$$ = 84.14$$

Step2: Count the number of data values

There are \(n = 7\) data values.

Step3: Calculate the mean

The formula for the mean \(\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}\). Substitute \(\sum_{i=1}^{n}x_{i}=84.14\) and \(n = 7\) into the formula: \(\bar{x}=\frac{84.14}{7}=12.02\)

Answer:

12.02