Enter your answer and show all the steps that you use to solve this problem in the space provided.Find the mean, median, and mode of the set of data.10, 11, 4, 7, 12, 11, 16, 6, 9, 15
To find the mean, median, and mode of the data set, we first need to sort the data in ascending order:
4, 6, 7, 9, 10, 11, 11, 12, 15, 16
Mean:
To find the mean, we sum up all the numbers in the data set and divide by the total number of values:
Mean = (4 + 6 + 7 + 9 + 10 + 11 + 11 + 12 + 15 + 16) / 10
Mean = 95 / 10
Mean = 9.5
Median:
The median is the middle value of the data set when arranged in ascending order. Since we have 10 numbers, the median will be the average of the 5th and 6th numbers:
Median = (10 + 11) / 2
Median = 10.5
Mode:
The mode is the number that appears most frequently in the data set. In this case, the number 11 appears twice, which is more than any other number in the data set.
Mode = 11
Therefore, the mean is 9.5, the median is 10.5, and the mode is 11.