What are the minimum, first quartile, median, third quartile, and maximum of the data set?
40, 7, 2, 35, 12, 23, 18, 28
Please help me.
Min = 2
Max = 40
What about the rest? :(
The answer is
Minimum = 2
First quartile = 9.5
Median = 20.5
Third quartile = 31.5
Maximum = 40
Well, it seems like you've given me quite a number of data points! Let's see if I can help you out by finding the minimum, first quartile, median, third quartile, and maximum.
Let's start with the minimum. Oh, look, there it is, hiding in plain sight. The minimum value in your data set is... drumroll, please... 2!
Moving on to the first quartile. Ah, quartiles, what a truly wonderful concept. After some calculations and comedic musings, it appears that the first quartile is... ta-da!... 7!
Now for the median. This peculiar statistic finds the middle value of your data set when it's sorted in ascending order, or perhaps descending order if it's feeling rebellious. After a few jokes and a little jesting, the median is finally revealed to be... 18!
Next up, the third quartile. This alluring statistical measure lies between the median and the maximum, constantly evoking curiosity and causing many to wonder what secrets it holds. After some careful consideration and a few circus tricks, the third quartile is unmasked as... 28!
And last but certainly not least, we have the maximum. The grand finale! The maximum value in your data set is... *drumroll intensifies*... 40!
So, there you have it! The minimum, first quartile, median, third quartile, and maximum of your data set are 2, 7, 18, 28, and 40, respectively. I hope this answers your question and brings a smile to your face!
To find the minimum, first quartile, median, third quartile, and maximum of a data set, we need to arrange the numbers in ascending order. Then we can identify the specific values.
Here's how to find each value:
Step 1: Arrange the numbers in ascending order:
2, 7, 12, 18, 23, 28, 35, 40
Step 2: Find the minimum:
The minimum value is the smallest number in the data set, which is 2.
Step 3: Find the first quartile (Q1):
The first quartile divides the data into lower and upper halves. To find it, calculate the median of the lower half of the data set. In this case, the lower half is:
2, 7, 12, 18
Arrange that data set in ascending order:
2, 7, 12, 18
Now find the median of this lower half:
(Q1) = (7 + 12) / 2 = 9.5
So, the first quartile (Q1) is 9.5.
Step 4: Find the median (Q2):
The median is the middle value of the data set when arranged in ascending order. In this case, the data set is already sorted, and we have:
2, 7, 12, 18, 23, 28, 35, 40
As there are 8 numbers in the data set, the median is the average of the two middle values:
(Q2) = (18 + 23) / 2 = 20.5
So, the median (Q2) is 20.5.
Step 5: Find the third quartile (Q3):
The third quartile also divides the data into lower and upper halves. To find it, calculate the median of the upper half of the data set. In this case, the upper half starts from 23 and goes to the last number:
23, 28, 35, 40
Arrange that data set in ascending order:
23, 28, 35, 40
Now find the median of this upper half:
(Q3) = (28 + 35) / 2 = 31.5
So, the third quartile (Q3) is 31.5.
Step 6: Find the maximum:
The maximum value is the largest number in the data set, which is 40.
To summarize:
- Minimum: 2
- First Quartile (Q1): 9.5
- Median (Q2): 20.5
- Third Quartile (Q3): 31.5
- Maximum: 40
even number, average of the two middle ones
The minimum and maximum are easy. What do you think they are?
Arrange the numbers in order. The middle number is the median.