Answer :
Answer:
To find the mean, median, and mode of the set of data {10, 11, 4, 7, 12, 11, 16, 6, 9, 15}, we need to follow these steps:
1. Mean:
To find the mean, we sum up all the numbers in the data set and divide by the total number of data points.
Sum of the data set:
Number of data points: 10
Mean =
Therefore, the mean of the data set is 9.5.
2. Median:
To find the median, we need to arrange the data set in numerical order and find the middle value. If there are two middle values, we take the average of those two.
Arranging the data set in numerical order: {4, 6, 7, 9, 10, 11, 11, 12, 15, 16}
Since there are 10 data points, the median is the average of the 5th and 6th values:
Median =
Therefore, the median of the data set is 10.5.
3. Mode:
The mode is the number that appears most frequently in the data set. If no number is repeated, then there is no mode.
In the data set {10, 11, 4, 7, 12, 11, 16, 6, 9, 15}, the number 11 appears twice, which is more frequent than any other number. So, the mode of the data set is 11.
Therefore, the mean is 9.5, the median is 10.5, and the mode is 11 for the given data
Step-by-step explanation:
