Question

d. the range of the data set

1. a data set has the following values: 10, 12, 15, 20, 18. what is the mean of this

data set?

Explanation:

Step1: Recall the formula for the mean

The mean (average) of a data set is calculated by the formula: $\text{Mean} = \frac{\text{Sum of all values}}{\text{Number of values}}$.

Step2: Calculate the sum of the values

The data set is \(10, 12, 15, 20, 18\). The sum of these values is \(10 + 12 + 15 + 20 + 18\). Let's compute that: \(10+12 = 22\), \(22 + 15 = 37\), \(37 + 20 = 57\), \(57 + 18 = 75\).

Step3: Determine the number of values

There are 5 values in the data set.

Step4: Compute the mean

Using the formula, we divide the sum by the number of values: \(\text{Mean} = \frac{75}{5} = 15\).

Answer:

15