Question

What are the Mean, Median, and Mode for the data below?

Data: 1, 2, 2, 3, 4, 7, 9
A. 4, 3, 2
B. 2, 3, 4
C. 2, 1, 0
D. 2, 2, 4
E. 3, 2, 4

Answer 1

The mean of the data set (1, 2, 2, 3, 4, 7, 9) is 4, the median is 3 as it is the middle number when arranged, and the mode is 2 as it appears most frequently, making the correct answer A. 4, 3, 2.

Step-by-step explanation:

To find the mean, you calculate the average of the numbers by adding them together and dividing by the total count of numbers. For your data set (1, 2, 2, 3, 4, 7, 9), the mean is calculated as (1 + 2 + 2 + 3 + 4 + 7 + 9) / 7, which equals 28 / 7, giving us a mean of 4.

The median is the middle number in a sorted, ascending or descending, list of numbers. Since we have seven numbers, the fourth number is the median, which is 3. The mode is the number that appears most frequently in a data set. Here, the number 2 appears most frequently, so the mode is 2. Therefore, the mean is 4, the median is 3, and the mode is 2, which corresponds to option A. 4, 3, 2.