Find the mean, median, and mode of the data set. Round to the nearest tenth. 15, 13, 9, 9, 7, 1, 11, 10, 13, 1, 13 (1 point) Responses mean = 9.3, median = 8, mode = 13 mean = 9.3, median = 8, mode = 13 mean = 8.5, median = 10, mode = 13 mean = 8.5, median = 10, mode = 13 mean = 9.3, median = 10, mode = 13 mean = 9.3, median = 10, mode = 13 mean = 8.5, median = 10, mode = 8
To find the mean, median, and mode of the data set, follow these steps:
Mean: Add all numbers together and then divide by the total number of values in the set.
Median: Arrange the numbers in numerical order and find the middle number. If there is an even number of data points, then the median will be the average of the two middle numbers.
Mode: The number that appears most frequently in the data set.
Given data set: 15, 13, 9, 9, 7, 1, 11, 10, 13, 1, 13
Step 1: Find the Mean
(15 + 13 + 9 + 9 + 7 + 1 + 11 + 10 + 13 + 1 + 13) / 11
= (102) / 11
= 9.27
Rounded to the nearest tenth, the mean is 9.3.
Step 2: Find the Median
First, arrange the numbers in order:
1, 1, 7, 9, 9, 10, 11, 13, 13, 13, 15
There are 11 numbers in the set, so the median is the 6th number:
1, 1, 7, 9, 9, (10), 11, 13, 13, 13, 15
The median is 10.
Step 3: Find the Mode
The number that appears most frequently is 13, which appears three times.
Thus, the mean is 9.3, the median is 10, and the mode is 13.
The correct answer based on these calculations is:
"mean = 9.3, median = 10, mode = 13"