Determine: minimum, maximum, median, 1st quartile, and 3rd quartile
10,12,7,9,4,15,20,21
Minimum: _______
Maximum: _______
Median: _______
1st Quartile: _______
3rd Quartile: _______
tell me the whole answer because i do not know it and yes i command you to do my homework for me right now
To determine the minimum, maximum, median, 1st quartile, and 3rd quartile for the given dataset 10, 12, 7, 9, 4, 15, 20, and 21, we need to sort the numbers in ascending order.
Sorted numbers: 4, 7, 9, 10, 12, 15, 20, 21
Minimum: The smallest number in the dataset is 4.
Maximum: The largest number in the dataset is 21.
Median: The median is the middle number when the data set is ordered. In this case, we have 8 numbers, so the median is the average of the 4th and 5th numbers. (10 + 12) / 2 = 11.
1st Quartile: The 1st quartile is the median of the lower half of the data set. Since we have 8 numbers, the lower half starts from the 1st number and ends at the 4th number. The 1st quartile is the median of this lower half, which is (7 + 9) / 2 = 8.
3rd Quartile: The 3rd quartile is the median of the upper half of the data set. Since we have 8 numbers, the upper half starts from the 5th number and ends at the 8th number. The 3rd quartile is the median of this upper half, which is (15 + 20) / 2 = 17.5.
Summary:
Minimum: 4
Maximum: 21
Median: 11
1st Quartile: 8
3rd Quartile: 17.5
To find the minimum, maximum, median, 1st quartile, and 3rd quartile of a data set, you need to arrange the numbers in ascending order.
The given dataset is: 10, 12, 7, 9, 4, 15, 20, 21
Step 1: Arrange the numbers in ascending order:
4, 7, 9, 10, 12, 15, 20, 21
Step 2: Determine the minimum and maximum:
Minimum: The smallest number in the dataset is 4.
Maximum: The largest number in the dataset is 21.
Step 3: Find the median:
The median is the middle value of the dataset. In this case, there are 8 numbers, so the median will be between the 4th and 5th numbers in the ordered list. The 4th number is 10, and the 5th number is 12. To find the median, we take the average of these two numbers. So, the median is (10 + 12) / 2 = 11.
Step 4: Calculate the quartiles:
The quartiles divide the dataset into four equal parts.
1st Quartile (Q1): The 1st quartile is the median of the lower half of the dataset. In this case, the lower half is from the 1st to the 4th number. Therefore, the 1st quartile is the median of 4, 7, 9, and 10. The median of these four numbers is (7 + 9) / 2 = 8.
3rd Quartile (Q3): The 3rd quartile is the median of the upper half of the dataset. In this case, the upper half is from the 5th to the 8th number. Therefore, the 3rd quartile is the median of 12, 15, 20, and 21. The median of these four numbers is (15 + 20) / 2 = 17.5.
Now we have:
Minimum: 4
Maximum: 21
Median: 11
1st Quartile (Q1): 8
3rd Quartile (Q3): 17.5
We do not do your homework for you. Although it might take more effort to do the work on your own, you will profit more from your effort. We will be happy to evaluate your work though.
However, I will give you a start. Min = 4, Max = 21
For median, arrange in order of value and choose middle-most score.