Question

question #7
find the mean of the data set given:
13, 18, 39, 53, 66, 83, 90, 38
41
47
43
50

Explanation:

Step1: Sum up the data

$$13 + 18+39 + 53+66 + 83+90 + 38$$
$$=(13 + 18)+(39 + 53)+(66 + 83)+(90 + 38)$$
$$=31+92 + 149+128$$
$$=(31+92)+(149 + 128)$$
$$=123+277$$
$$=400$$

Step2: Count the number of data

There are \(n = 8\) data points.

Step3: Calculate the mean

The formula for the mean \(\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}\). Substitute \(\sum_{i=1}^{n}x_{i}=400\) and \(n = 8\) into the formula: \(\bar{x}=\frac{400}{8}=50\)

Answer:

50