Find the mean, median, and mode for each set of data. If necessary, round to the nearest tenth.
16, 18, 15, 16, 21, 16
sort the numbers" 15 16 16 16 18 21
mean: add 'em up and divide by 6
median: 6 values, so the average of the 3rd and 4th values
mode: which value occurs the most times?
19 , 6 , 5 , 6 , 9 , 10 ,15
To find the mean, median, and mode for the given set of data: 16, 18, 15, 16, 21, and 16, follow these steps:
Step 1: Arrange the numbers in ascending order: 15, 16, 16, 16, 18, 21.
Step 2: Find the mean (average) by adding up all the numbers and dividing by the total count.
Mean = (15 + 16 + 16 + 16 + 18 + 21) / 6
Mean = 102 / 6
Mean ≈ 17
Therefore, the mean is approximately 17.
Step 3: Find the median, which is the middle number when the data is arranged in ascending order.
In this case, the median is the average of the two middle numbers since there are even numbers in the dataset.
Median = (16 + 16) / 2
Median = 32 / 2
Median = 16
So, the median is 16.
Step 4: Find the mode, which is the number(s) that appear(s) most frequently.
In this case, the mode is 16 because it appears the most number of times (three times).
Therefore, the mode is 16.
To summarize:
Mean ≈ 17
Median = 16
Mode = 16
To find the mean, median, and mode for a set of data, follow these steps:
1. Find the mean:
- Add up all the numbers in the set: 16 + 18 + 15 + 16 + 21 + 16 = 102
- Divide the sum by the total number of values in the set: 102 / 6 = 17
- The mean is 17.
2. Find the median:
- First, arrange the numbers in ascending order: 15, 16, 16, 16, 18, 21.
- Since there are an even number of values, the median is the average of the two middle numbers.
- The middle numbers are 16 and 16. Add them together and divide by 2: (16 + 16) / 2 = 16
- The median is 16.
3. Find the mode:
- The mode is the number(s) that appear most frequently in the set.
- In this case, the number 16 appears three times, which is more than any other number.
- The mode is 16.
Therefore, for the given set of data (16, 18, 15, 16, 21, 16), the mean is 17, the median is 16, and the mode is 16.