Fourteen patients have the following LOS:1,4,4,2,5,16,3,3,1,6,4,5,7,and 2. Compute the mean, median, and mode
Add them together and divide by 14 to find the mean.
Arrange them in order. The middle number is the median.
4 is the mode
http://www.purplemath.com/modules/meanmode.htm
So first what you want to do it two put the numbers in order from least to greatest.
1, 1, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 7, 16
So to find the mode you want to see which number is listed the most. That would be 4.
To find the median you want to find the middle number of this set. What I do is I cross out the outermost number of the data until I narrow it down to one.
To find the mean, you would just add up all the numbers and then divide by 14, since there are 14 numbers.
Hope this helps!
To compute the mean, median, and mode of the given list of lengths of stay (LOS) for the fourteen patients, follow these steps:
Step 1: Arrange the list of LOS values in ascending order:
1, 1, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 7, 16
Step 2: Calculate the mean:
To find the mean, add up all the LOS values and divide the sum by the total number of values (14 in this case):
Mean = (1 + 1 + 2 + 2 + 3 + 3 + 4 + 4 + 4 + 5 + 5 + 6 + 7 + 16) / 14 = 67 / 14 ≈ 4.79
Therefore, the mean of the LOS values is approximately 4.79.
Step 3: Find the median:
The median is the middle value when the data set is arranged in ascending order. Since there are an even number of values (14), the median will be the average of the two middle values.
Median = (4 + 4) / 2 = 8 / 2 = 4
Thus, the median of the LOS values is 4.
Step 4: Determine the mode:
The mode is the value that appears most frequently in the data set. From the arranged list of LOS values, we can observe that the number 4 appears most frequently.
Therefore, the mode of the LOS values is 4.
In summary:
Mean: 4.79
Median: 4
Mode: 4
To compute the mean, median, and mode of the given list of Length of Stays (LOS), follow these steps:
1. Mean:
To find the mean, add up all the individual values in the list and divide the sum by the total number of values:
LOS: 1, 4, 4, 2, 5, 16, 3, 3, 1, 6, 4, 5, 7, and 2
Sum = 1 + 4 + 4 + 2 + 5 + 16 + 3 + 3 + 1 + 6 + 4 + 5 + 7 + 2 = 63
Mean = Sum / Total number of values = 63 / 14 = 4.5
Therefore, the mean of the Length of Stays is 4.5.
2. Median:
To find the median, arrange the list of values in ascending order and find the middle value. If there is an even number of values, take the average of the two middle values:
LOS: 1, 4, 4, 2, 5, 16, 3, 3, 1, 6, 4, 5, 7, and 2
Arranged in ascending order: 1, 1, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 7, 16
Total number of values = 14
Since there is an odd number of values (14), the median is the value at the middle position which is the 7th value.
Therefore, the median of the Length of Stays is 4.
3. Mode:
The mode refers to the value or values that occur most frequently in the list.
In this case, we can observe that the values 4 and 3 both occur three times, which is more than any other value in the list.
Therefore, the mode(s) of the Length of Stays is 4 and 3, both occurring three times.