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)
• mean = 9.3, median = 8, mode = 13
• mean = 8.5, median = 10, mode = 13
• mean = 9.3, median = 10, mode = 13
• mean = 8.5, median = 10, mode = 8
To find the mean, we add up all the numbers and divide by the total number of values.
Mean = (15 + 13 + 9 + 9 + 7 + 1 + 11 + 10 + 13 + 1 + 13) / 11 ≈ 9.3
To find the median, we need to arrange the data set in order from least to greatest and find the middle value.
Arranging the data set in order: 1, 1, 7, 9, 9, 10, 11, 13, 13, 13, 15
The middle value is 10, so the median is 10.
To find the mode, we find the value(s) that appear most frequently in the data set.
The number 13 appears 3 times in the data set, which is more frequent than any other number.
So, the mode is 13.
Therefore, the correct answer is:
• mean = 9.3, median = 10, mode = 13
To find the mean, median, and mode of a data set, follow these steps:
1. Mean:
Add up all the numbers in the data set, then divide the sum by the total number of values in the set.
For the given data set: 15, 13, 9, 9, 7, 1, 11, 10, 13, 1, 13,
Sum = 15 + 13 + 9 + 9 + 7 + 1 + 11 + 10 + 13 + 1 + 13 = 103
Number of values = 11
Mean = Sum / Number of values
Mean = 103 / 11 = 9.3 (rounded to the nearest tenth)
2. Median:
Arrange the numbers in ascending order (from least to greatest). Then, find the middle value.
For the given data set: 1, 1, 7, 9, 9, 10, 11, 13, 13, 13, 15.
Since there is an odd number of values (11 values), the middle value is the 6th value, which is 10.
3. Mode:
The mode is the value that appears most frequently in the data set.
For the given data set: 15, 13, 9, 9, 7, 1, 11, 10, 13, 1, 13.
The mode is the number 13, as it appears three times, which is more frequent than any other number in the set.
Therefore, the correct answer is:
• mean = 9.3, median = 10, mode = 13
To find the mean, median, and mode of the given data set, we can follow these steps:
1. Arrange the data set in ascending order: 1, 1, 7, 9, 9, 10, 11, 13, 13, 13, 15.
2. Mean: Add up all the values in the data set and divide the sum by the total number of values.
(1 + 1 + 7 + 9 + 9 + 10 + 11 + 13 + 13 + 13 + 15) / 11 ≈ 9.3
So, the mean is approximately 9.3.
3. Median: Find the middle value in the data set. If the data set has an odd number of values, the median is the value in the middle position. If the data set has an even number of values, the median is the average of the two middle values.
Since we have 11 values in the data set, the median is the value in the 6th position, which is 10.
4. Mode: The mode is the value that appears most frequently in the data set.
In this case, 13 appears three times, which is more than any other value. Thus, the mode is 13.
Therefore, the correct answer is:
• mean = 9.3, median = 10, mode = 13.