find the five number summary of the following set of numbers. 335, 237, 112, 387, 250, 583, 267, 222, 314

Arrange the numbers in ascending order and follow the rules described at:

http://illuminations.nctm.org/lessons/states/fivenumsum.htm

To find the five number summary of a set of numbers, we need to calculate five values: the minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum.

First, let's arrange the numbers in ascending order: 112, 222, 237, 250, 267, 314, 335, 387, 583.

1. Minimum: The smallest number in the set is 112.
2. Q1 (First quartile): To find Q1, we need to find the median of the lower half of the numbers. Since we have 9 numbers, the lower half would be the first 4 numbers: 112, 222, 237, 250. The median of this set is the average of the middle two numbers, which are 222 and 237. So, Q1 is (222 + 237) / 2 = 229.5.
3. Q2 (Median): In our ordered set, the middle number is 267. So, Q2 is 267.
4. Q3 (Third quartile): Similar to Q1, we need to find the median of the upper half of the numbers. The upper half is the last 4 numbers: 314, 335, 387, 583. The median of this set is the average of the middle two numbers, which are 335 and 387. So, Q3 is (335 + 387) / 2 = 361.
5. Maximum: The largest number in the set is 583.

Therefore, the five number summary for the given set of numbers is:
Minimum: 112
Q1: 229.5
Q2: 267
Q3: 361
Maximum: 583