19, 19, 14, 14, 16, 19, 19, 16, 16, 15, 17, 16, 17, 16, 15, 14, 15, 15, 17, 14, 16, 15
2. Find the mean for the data. If necessary, round to the nearest tenth.
17.5
16.5
17.1
16.1 ***
3. Find the median for the data.
17
16
15
14
4. Find the mode for the data.
14
15
16
17
To find the mean of a set of data, you need to add up all the values and then divide by the number of values.
Let's calculate the mean for the given data:
19 + 19 + 14 + 14 + 16 + 19 + 19 + 16 + 16 + 15 + 17 + 16 + 17 + 16 + 15 + 14 + 15 + 15 + 17 + 14 + 16 + 15
First, we add up all the values:
19 + 19 + 14 + 14 + 16 + 19 + 19 + 16 + 16 + 15 + 17 + 16 + 17 + 16 + 15 + 14 + 15 + 15 + 17 + 14 + 16 + 15 = 362
Next, we divide the sum by the number of values, which in this case is 22:
362 / 22 ≈ 16.5
Therefore, the mean of the given data is 16.5.
Now let's move on to finding the median. The median is the middle value when the data is arranged in ascending or descending order. In this case, we have an odd number of data points, so we don't need to worry about finding the exact middle. We just need to find the value that separates the lower half from the upper half.
To find the median for the given data, we need to arrange it in ascending order:
14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 16, 17, 17, 19, 19, 19, 19
Now we can see that there are 22 data points, and the value in the middle is the 11th value, which is 16.
Therefore, the median of the given data is 16.
Lastly, let's find the mode. The mode is the value that occurs the most frequently in the data.
Looking at the data, we can see that the values 14, 15, 16, and 19 are all repeated multiple times. However, the value that occurs the most frequently is 16, which appears 5 times.
Therefore, the mode of the given data is 16.
In summary:
- The mean of the given data is 16.5.
- The median of the given data is 16.
- The mode of the given data is 16.
Wow, I didn't know that Wolfram does even this stuff
This wonderful webpage amazes me more all the time.
http://www.wolframalpha.com/input/?i=mean+19%2C+19%2C+14%2C+14%2C+16%2C+19%2C+19%2C+16%2C+16%2C+15%2C+17%2C+16%2C+17%2C+16%2C+15%2C+14%2C+15%2C+15%2C+17%2C+14%2C+16%2C+15
http://www.wolframalpha.com/input/?i=median+19%2C+19%2C+14%2C+14%2C+16%2C+19%2C+19%2C+16%2C+16%2C+15%2C+17%2C+16%2C+17%2C+16%2C+15%2C+14%2C+15%2C+15%2C+17%2C+14%2C+16%2C+15
http://www.wolframalpha.com/input/?i=mode+19%2C+19%2C+14%2C+14%2C+16%2C+19%2C+19%2C+16%2C+16%2C+15%2C+17%2C+16%2C+17%2C+16%2C+15%2C+14%2C+15%2C+15%2C+17%2C+14%2C+16%2C+15
I even tried this to see the median answer
http://www.wolframalpha.com/input/?i=sort+19%2C+19%2C+14%2C+14%2C+16%2C+19%2C+19%2C+16%2C+16%2C+15%2C+17%2C+16%2C+17%2C+16%2C+15%2C+14%2C+15%2C+15%2C+17%2C+14%2C+16%2C+15