Question

Find the five-number summary of the following set of numbers.

335, 233, 185, 392, 235, 518, 281, 208, 318

Answer 1

First, arrange the set of numbers in order, with the lowest first.

185, 208, 233, 235, 281, 318, 335, 392, 518

Then, follow the instructions in this website.

http://illuminations.nctm.org/Lessons/States/FiveNumSum.htm

We'll be glad to check your answers.

Answer 2

Here is a definition of Five-number summary:

(1) the minimum (smallest observation)
(2) the lower quartile or first quartile (which cuts off the lowest 25% of the data)
(3) the median (middle value)
the upper quartile or third quartile (4) (which cuts off the highest 25% of the data)
(5) the maximum (largest observation)

In your case the median is 281 , the minimum is 185 and the maximum is 518. For the two quartiles, take the third and seventh largest numbers of the group.

Answer 3

293.55