Question

find the mean of this data set. 18, 37, 29, 19, 33, 21, 11

Explanation:

Step1: Sum up the data

$$18 + 37+29 + 19+33+21+11$$
$$=(18 + 37)+(29 + 19)+(33 + 21)+11$$
$$=55+48+54+11$$
$$=(55 + 48)+(54 + 11)$$
$$=103+65$$
$$=168$$

Step2: Count the number of data points

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

Step3: Calculate the mean

The mean formula is \(\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}\). Substitute \(\sum_{i=1}^{n}x_{i}=168\) and \(n = 7\) into the formula: \(\bar{x}=\frac{168}{7}\)

Answer:

\(24\)