Question

1. what is the mean of 6, 8, 13, 17, 22?

a. 13
b. 13.2
c. 12
d. 14

Explanation:

Step1: Sum the numbers

To find the mean, first we sum all the numbers in the set. The set is \(\{6, 8, 13, 17, 22\}\). So, \(6 + 8 + 13 + 17 + 22\). Let's calculate that: \(6+8 = 14\), \(14+13 = 27\), \(27+17 = 44\), \(44+22 = 66\).

Step2: Divide by the number of elements

There are 5 numbers in the set. The formula for the mean \(\bar{x}\) of a set of numbers \(x_1, x_2, \dots, x_n\) is \(\bar{x}=\frac{\sum_{i = 1}^{n}x_i}{n}\). Here, \(n = 5\) and \(\sum_{i=1}^{5}x_i=66\). So, we divide the sum by 5: \(\frac{66}{5}=13.2\).

Answer:

b. 13.2