Question

day 15
the number of pieces of candy corn in different bags are as follows: 154, 161, 158, 154, 159, and 162. what is the mean of candy corn pieces per bag?

Explanation:

Step1: Calculate the sum of data

$$154 + 161+158 + 154+159+162$$
$$=(154\times2)+161 + 158+159+162$$
$$=308+161+158+159+162$$
$$=(308 + 161)+(158+162)+159$$
$$=469+320+159$$
$$=789+159$$
$$=948$$

Step2: Calculate the number of data

There are \(6\) data points.

Step3: Calculate the mean

The formula for the mean \(\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}\), where \(n = 6\) and \(\sum_{i=1}^{n}x_{i}=948\). So \(\bar{x}=\frac{948}{6}=158\)

Answer:

\(158\)