5# Summary and IQR - Greer Middle College || Building the Future

Report
Warm Up
Students were asked, “Are you right-handed, left-handed, or
ambidextrous?” The responses of the 50 randomly selected
Canadian students are show below.
R
R
R
R
R
R
R
R
R
R
R
R
R
R
R
R
R
R
A
R
R
R
R
R
R
R
R
R
R R R R L R R
R R R R R R A
L R R R R L A
R
(A) Make an appropriate graph to display these data.
(B) Over 10,000 Canadian high school students too k the
survey. What percent of this population would you
estimate is left-handed? Justify your answer.
Get Out Your Projects!
You must turn in the following.
1. The Computation Project
2. The Compare & Contrast Paper
3. The Computation Rubric
4. The C&C Rubric
Discuss Your Project
5-Number (5#) Summary
The five-number summary of a distribution
consists of the smallest data point, the first
quartile, the median, the third quartile,
and the largest data point.
Number of Text Messages
First we must put the data in order from
smallest to largest.
***Sample Size:
#3 Median
The median is the midpoint of the
distribution that has been ordered from
smallest to largest, such that half of the
data points are smaller and half of the data
points are larger.
Notation: _________
#1 Minimum
The minimum is the smallest data point in
the data set. Do not exclude any outliers.
Notation: ____________
#5 Maximum
The maximum is the largest data point in
the data set. Do not exclude any outliers.
Notation: ____________
#2 Lower Quartile
The median for the first 50% of the ordered
set is the lower/first quartile.
Notation: ___________
What does Q1 Mean?
_____________of the people in this room
sent less than ___________ text messages.
_____________ of the people in this room
sent more than __________ text messages.
#4 Upper Quartile
The median for the second 50% of the
ordered set is the upper/third quartile.
Notation: ___________
What does Q3 Mean?
_____________of the people in this room
sent less than ___________ text messages.
_____________ of the people in this room
sent more than __________ text messages.
Data Display
This is what the quartiles are actually doing
with the data set.
Interquartile Range
The interquartile range is the range of data
between the lower quartile and the upper
quartile
Notation: __________
 = 3 − 1
Number of Text Messages
First we must put the data in order from
smallest to largest.
***Sample Size:
#3 Median
The way we deal with the median in a data
set with an ODD sample size is different.
Once we find the median, it cannot be
included in another portion (Q1 or Q3).
Number of Tattoos
Find the 5# Summary for the following
data set.
5 1 11 6 0 3 2 0
13 4 4 1 12 7 0 1
n = _____
Number of Starbucks Coffees
Find the 5# Summary for the following
data set.
05 01 23 14 10 03 00
20 03 24 04 01 12 17
n = _____
Try It On Your Own
One group has an ODD sample size and
one group has an EVEN sample size.
Ticket Out The Door
On a 3x5 Card write what
5 values the 5# Summary
is made up of.
Homework
5# Summary Worksheet

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