Question

What is the five-number summary for the data set?


28 34 26 33 48 42 39 28 36

A.
Minimum: 26, Q¹: 28, Q²: 34, Q³: 40.5, Maximum: 48

B.
Minimum: 26, Q¹: 28, Q²: 34, Q³: 40, Maximum: 48

C.
Minimum: 26, Q¹: 28, Q²: 33.5, Q³: 40.5, Maximum: 48

D.
Minimum: 26, Q¹: 28, Q²: 34, Q³: 42, Maximum: 48

Answer 1

The first step is to arrange your data from smallest to largest. Then we can find the median and quartiles.

Answer 2

26, 28, 28, 33, 34, 36, 39, 42, 48

Answer 3

You have 9 data points. Identify the single point that's right in the middle of your re-arranged set. What is it?
What's its name?

Answer 4

34 ?

Answer 5

Excuse me! I'm letting BTaylor continue with this explanation. Sorry, BT.

Answer 6

The number in the middle, labeled in the problem as Q2, is the ________. (you are right, 34 is correct.)
This number splits the rest into two sets. Do you know how to find Q1 and Q3 from those?

Answer 7

I know Q1 is 28, but I don't know what Q3 is.

Answer 8

The set to the right of 34 is 36, 39, 42, 48
The median of this set is the average of the 2 middle terms (since there is an even number of terms). I can understand why you were confused.

Answer 9

40.5

Answer 10

So the answer is C.

Answer 11

yep. good job!

Answer 12

Thank you ^^

Answer 13

@Kamizamurai : You were to come up with a 5-number summary. Looks as though you now have the middle three of those numbers. What are the remaining two numbers of this five-number summary? Can you provide both name and value?

Answer 14

My mistake, the answer is a.

Answer 15

Cool.