A data set contains the following values: 14, 7, 8, 15, 3, 10. What is the average of the data set, and what is the maximum value?
Answer
Step 4: To find the maximum value in the data set, we identify the largest value. In this case, the maximum value is 15.
Step 1 ：Step 1: To find the average of the data set, we sum all the values and divide by the number of values. The formula for the average (\(\mu\)) is: \(\mu = \frac{\Sigma x}{n}\), where \(\Sigma x\) is the sum of all values and \(n\) is the number of values.
Step 2 ：Step 2: Calculate the sum of all values: \(14 + 7 + 8 + 15 + 3 + 10 = 57\)
Step 3 ：Step 3: Divide the sum by the number of values to get the average: \(\mu = \frac{57}{6} = 9.5\)
Step 4 ：Step 4: To find the maximum value in the data set, we identify the largest value. In this case, the maximum value is 15.
