Range Mikes Math Mall CCCS Aligned I met a m ean median once I made sure to keep my mode out of that range Mean The meaning of Are we t alking about my m y sister Part 1 This is ID: 698055
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Slide1
Mean,
Median,
Mode,
And
Range
©
Mike’s Math Mall
CCCS Aligned
I met a
m
ean median once. I made sure to keep my mode out of that
range!Slide2
Mean
The meaning
of
Are we
t
alking about my
m
y sister?
Part 1Slide3
This is
the very reason math gives me hives!
Mean
Let’s talk about the meaning of mean!
Mean
– the
average
of a set of numbers.
To find the mean of a data set, add up all the numbers, then divide by how many numbers make up that set.
If the mean
i
s really just theaverage, why don’twe use the word “average?”
I guess it’s because the words have the same mean
ing! Get it, Sparky? LOL!Slide4
Mean
Let’s see how this works!
Several students were surveyed about the number of pets
they’ve
ever owned.
Here are the results:
5
, 1,
8, and 6.What is the mean
number of pets? Step 1: Find the sum of the numbers.
Step 2: Divide the sum by the count.
M
ean = 5 petsSlide5
Mean
You try it!
2.
Find the mean for each set of numbers.
1.
3.
4.
A group of girls listed how many rings
each had:
and
.
Find the mean number of rings!
5
.
Mean =
Mean =
Mean =
Mean =
rings
Slide6
Median
Getting into the
Middle of
I love getting
to the middle of triple, fudge-filled jelly donuts!
Part 2Slide7
Must…
find…happyplace…now!
Median
Middling with Medians!
Median
– the
middle
number.
To find the median, list a set of numbersin order (from least to greatest), and then find the number in the middle.
Why don’twe just call the median “the middle number?”
Because it’s
kinda
fun seeing that crazy Sparky
face!Slide8
Example 1
Median
Here are several math quiz scores:
and
.
What is the median score?
Step 1: List all the numbers in order.
(
It helps to cross them off as you go)
Step 2: Count to find the middle number.
1
1
2
2
3
3
4
4
is the median
Slide9
2
33
21
Median
Ben’s point totals in basketball games:
and
.
What is the median point total?
1. List the numbers in order.
2
. Count.
3,
8,
8, 11, 13,
16,
17,
20
1
3.
After counting, we have two middle numbers.
4.
Add them and divide by 2.
The median is
Example 2Slide10
Only my
momma callsme by my full name!
Median
Think about it!
When trying to find the median:
If there is an
odd
number of data numbers, there will always be
1
middle number.
If there is an even number of data numbers, there will always be 2
middle numbers.
The two
m
iddle numberthingy is a littleannoying!
You can handle it, Sparkington
! You’re a trooper!
I stand corrected, Sir Sparkles!Slide11
Median
Give it a try!
Find the median for each set of numbers.
1.
2
.
3
.
4
.
5
. Here are the results after a recent science quiz:
Find the median score.
The median
is
The median is
The median
is
The median
is
The median
is
Slide12
Mode
Making
the Most
of
I just made
the most of a three-alarm chili burrito!
Part 3Slide13
Mode
Mode
– a number that appears the
most
in a data set.
Mostly mode!
What is the mode of this data set?
List all the numbers in order.
(
It makes it easier to spot the mode)
The mode is
Slide14
Mode
Keep this in mind!
If no number occurs more than once in a set of numbers, there is
no
mode.
It is possible to have two or more modes.
1, 3,
8,
9, 12, 13, 16, 19,
20, 22, 31
No mode2,
5, 5, 7, 10,
11, 15,
18, 18, 24, 25The modes are 5 and 18Slide15
Mode
Your turn!
Find the mode for each data set.
1.
2
.
3
.
4
.
5
. Here are the results after a recent math quiz.
Find the mode.
The mode
is
No mode
The mode
is
The modes
are
and
The modes
are
and
Slide16
Range
Home, Home
on the
…where
t
he monkeys and elephants play!
Part 4Slide17
Range
Range
– the
difference
between the lowest and highest values in a data set.
Keep it in Range!
Example:
Here, the lowest value is 9.
T
he highest value is 14.
The range is
Easy
peasy
lemon
squeezy
!
Excellent observation!Slide18
Range
What is the range of this data set?
List all the numbers in order.
(This helps find the highest and lowest values)
Try this example!
The range is
Slide19
FYI
What is the outlier of this data set?
Question:
How would this outlier effect the
mean
of this data set?
Discovering Outliers!
Outlier
– a value that “lies outside” (is much smaller or larger than) most of the other values in a data set.
24 is the outlier.
If you said that it would bring the mean
down
, you’re correct!Slide20
Mean
Range
Median
Mode
Let’s see if you can put it all together!
Use the data set below to answer the following questions.
Here are Duffy Divot’s golf scores for the year. Find the mean, median, mode, and range of his scores.
Mean =
Median =
Mode =
Range =
Is there an outlier? If so, what does it do to the mean score?
Yes. The outlier, 106, raises the mean score.Slide21
Mean
Range
Median
Mode
To be honest, Sparky, that’s not what I’m finding a little weird right now.
Is it a little
w
eird that I actually
kinda
understand this stuff, Sir?
It’s my
breath isn’t
i
t?
Nope! It’s not your breath!
Well, I guess
I
’ll comb
ya
…err,
I mean…catch
ya
later!
Rock on!