Topic: Mean. What is the mean of the data set $4,7,9,10$?

• A. $8$
• B. $7$
• C. $7.5$
• D. $9$

Answer: (C)

Verified step by step guidance

1. Identify the data set given: 4, 7, 9, 10, 8, 7.
2. Count the number of data points in the set. This is the value of \(n\).
3. Calculate the sum of all the data points using the formula: \(\text{Sum} = 4 + 7 + 9 + 10 + 8 + 7\).
4. Use the formula for the mean (average): \(\text{Mean} = \frac{\text{Sum of all data points}}{n}\).
5. Substitute the sum and the number of data points into the formula and simplify to find the mean.