Find the five-number summary of the following set of numbers14, 5, 13, 17, 6, 15, 6, 3, 11, 6?
This site should help you.
http://illuminations.nctm.org/lessons/states/fivenumsum.htm
What do you think are the mean, median, mode, and upper and lower quartiles?
We'll be glad to check your answers.
illuminations(dot)nctm(dot)org/lessons/states/fivenumsum.htm
haha great minds think alike?
:-)
Thanks for all of your help, Anonymous.
To find the five-number summary of a set of numbers, you need to know the minimum value (smallest number), the first quartile (Q1), the median (Q2 or middle value), the third quartile (Q3), and the maximum value (largest number).
Here's how you can find the five-number summary for the given set of numbers: 14, 5, 13, 17, 6, 15, 6, 3, 11, 6.
1. Sort the numbers in ascending order: 3, 5, 6, 6, 6, 11, 13, 14, 15, 17.
2. Find the minimum value (smallest number): The minimum value is 3.
3. Find the first quartile (Q1): 25% of the data falls below Q1. Since we have 10 numbers, 25% of 10 is 2.5. This means we need to find the average of the 2nd and 3rd numbers: (5 + 6) / 2 = 5.5. So, Q1 is 5.5.
4. Find the median (Q2): The median is the middle value. Since we have 10 numbers, the median is the average of the 5th and 6th numbers: (11 + 13) / 2 = 12. So, Q2 is 12.
5. Find the third quartile (Q3): 75% of the data falls below Q3. Since we have 10 numbers, 75% of 10 is 7.5. This means we need to find the average of the 8th and 9th numbers: (14 + 15) / 2 = 14.5. So, Q3 is 14.5.
6. Find the maximum value (largest number): The maximum value is 17.
Now we have all the required values for the five-number summary:
Minimum: 3
Q1: 5.5
Median: 12
Q3: 14.5
Maximum: 17