Question

follow the steps below to find the mean for the set of data. use the work shown to help you. data set: 6, 5, 8, 5, 9, 6, 7, 5, 12 first add the values. 6 + 5 + 8 + 5 + 9 + 6 + 7 + 5 + 12 = 63 then divide by the number of values. there are 9 values. what is the mean of the data set? 5 6 7 8

Explanation:

Step1: Calculate the sum of data

The sum of the data set \(6 + 5+8 + 5+9 + 6+7 + 5+12\) is \(63\) as given.

Step2: Calculate the number of data points

Count the number of values in the data set \(6,5,8,5,9,6,7,5,12\). There are \(n = 9\) values.

Step3: Calculate the mean

The formula for the mean \(\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}\). Substitute \(\sum_{i=1}^{n}x_{i}=63\) and \(n = 9\) into the formula. So \(\bar{x}=\frac{63}{9}=7\)

Answer:

C. \(7\)