How to Analyze Data (aka Crunching Numbers) MEAN (aka: The Average) • the total divided by the number of items in a set • Add all the items in the set. • Divide the sum by the number of items in the set. • • • • • •!!•!!•!!•!!•!!•!!•!!•!!•!!•!!•!!•!!• • • • • •!!•!!•!!•!!•!!•!!•!!•!!•!!•!!•!!•!!• • • • • •!!•!!•
MEDIAN (aka: The Middle) • the number that lies in the middle of a set arranged in order • Arrange all the items in the set from least to greatest. • Eliminate the high and low values. • Repeat until one middle number remains. • If two numbers remain, find the mean of those two numbers. • The mean of the two numbers is the median.
• • • • • •!!•!!•!!•!!•!!•!!•!!•!!•!!•!!•!!•!!• • • • • •!!•!!•!!•!!•!!•!!•!!•!!•!!•!!•!!•!!• • • • • •!!•!!•
MODE (aka: The Most) • the data that occurs most frequently in a set • Group all the items of the set by value. • Count the number in items in each group. • Sometimes there may be more than one mode. • Sometimes there may not be a mode.
• • • • • •!!•!!•!!•!!•!!•!!•!!•!!•!!•!!•!!•!!• • • • • •!!•!!•!!•!!•!!•!!•!!•!!•!!•!!•!!•!!• • • • • •!!•!!•
RANGE (aka: The Spread) • the difference between the greatest and least values of a set • Subtract from the greatest number in a set the least number in a set.
Mode is Most
sung to the tune of "Fabulous" from High School Musical 2 created by Mr. Spencer's 5th graders (2008) It's out with the old, and in with the new. Goodbye clouds of gray, hello skies of blue. I have collected numbers, from all I have seen. Can someone please tell me, just how to find the MEAN! Add 'em up, Count 'em up, Divide. Add 'em up, Count 'em up, Divide. How do you calculate MEAN? You just, add 'em up, count 'em up, divide. We're gonna relax and REVIEW. You go do ... MATH!
Mode is Most! (That is a simple request) Remember Mode is Most! (bigger and better and best) I need something inspiring, to help me pass the test. I need a little MATH CLASS to be my best. (Remember)
Put 'em in order and come to the middle. Put 'em in order and come to the mid - dle. How do you calculate MEDIAN? Put 'em in order and come to the middle. Average like never before! I want more ... MATH! (Chorus) Mode is Most! Math is so cool, math is so fun Math is as easy as 4, 3, 2, 1 Math is as easy as 4, 3, 2, 1, because Math is so cool, math is so fun Nothing to discuss, everything's got to be perfect ... for MATH (Chorus) Mode is Most! I found the mean, I found the mode I found the median, I need more help Finding the RANGE (3X) just do... High minus Low (4X) I like doing math, I like it a lot Now I'm gonna pass the SOLs,
SOLs, SOLs!
Absolutely, Math ROCKs
name:
Bookorder Math
MODE:
( RANGE: (
) )
How much does it cost? How many items sell for $1?
Other Prices: (you choose) How Many? _______
How many items sell for $2? _______ How many items sell for $3? _______ How many items sell for $4? _______
max price
The mode price for the book order is __________ . It occurs ________ times. The range of prices for the book order is ____________________ . Show your work. How many books can you find that ... are about math? are about a television show? are about a movie? are nonfiction? start with the words “The” or “A”? are “seasonal”? start with the letter
?
Make up your own question (and find the answer).
Bookorder Math Sheets developed by Kevin S. Spencer
name:
Bookorder Math
MEAN: ( RANGE:
) (
)
Fiction Books
AR Level
Non-Fiction Books
Total
Total
Mean
Mean
Range
Range
Compute the these aveerages for this page: Mean for the page: Range for the page: Median for the page: Bookorder Math Sheets developed by Kevin S. Spencer
AR Level
name:
Bookorder Math
MEAN: ( RANGE:
) (
)
Just on page 1:
Just on page 1:
Total cost of all books?
Most expensive book?
How many books?
Price?
Average price per book?
How many pages?
Range of prices?
Average price per page?
Just on page 2:
Just on page 2:
Total cost of all books?
Least expensive book?
How many books?
Price?
Average price per book?
How many pages?
Range of prices?
Average price per page?
Just on page 3:
Just on page 3:
Total pages of all books?
Any Book Title:
How many books?
Price?
Average price per book?
How many pages?
Range of prices?
Average price per page?
For the entire book order: Total cost of all items? How many items? Average price per item? Range of prices? Bookorder Math Sheets developed by Kevin S. Spencer
name:
Bookorder Math
MEDIAN:
(
)
RANGE:
(
)
Just on page 1: Find the median price.
Compute the range:
Just on page 2: Find the median price.
Compute the range:
You pick a page #: Find the median price.
Compute the range:
Find some non-fiction books: Find the median price. Make notes about the title of each book you use as you go along. book: price: Compute the range: Review: What do you do if you have TWO remaining numbers when you eliminate all the highs and lows?
Bookorder Math Sheets developed by Kevin S. Spencer
name:
Bookorder Math
MODE:
( MEDIAN:( RANGE: (
) ) )
How much does it cost? How many items sell for $1?
Other Prices: (you choose) How Many? _______
How many items sell for $2? _______ How many items sell for $3? _______ How many items sell for $4? _______
max price
The mode price for the book order is __________ . It occurs ________ times. The range of prices for the book order is ____________________ . Show your work. HOW MANY PAGES? Make a stem and leaf plot to help you analyze the data. stem
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
leaves
Key 14
6 = 146
mode ___________ ___________ times range __________ Show your work:
median __________ Exclude books over 200 pages except for longest book (over 200)
Bookorder Math Sheets developed by Kevin S. Spencer
name:
Bookorder Math
MEAN: (
)
MEDIAN:
(
)
MODE: ( RANGE:
) (
)
Just on page 1:
Just on page 2:
Total cost of all books?
Total pages of all books?
How many books?
How many books?
Average price per book?
Average pages per book?
Range of prices?
Range of pages?
Just on page 3: Find the median price.
Remember: If you get to the middle and there are TWO left: Add those two prices together and divide by 2.
For the entire book order: The most expensive item is _______________________________. It costs __________ . The least expensive item is _______________________________. It costs __________ . How many items sell for $1? _______
How many items sell for $3? _______
How many items sell for $2? _______
How many items sell for $4? _______
How many items sell for greater than $5 _______
The mean (average) of price for entire book order is __________ . The median of price for entire book order is __________ . The mode price for entire book order is __________ . It occurs ________ times. The range of prices for entire book order is __________ . Bookorder Math Sheets developed by Kevin S. Spencer
name: LENGTH: WIDTH: AREA:
Bookorder Math
(
)
(
)
(
)
PERIMETER:
(
)
Find books with the measurements given. Compute the area and the perimeter of the cover of each book. Title
Compute
Compute
Title
Area:
length
length
Area:
Perimeter:
width
Perimeter:
width
Title
Compute
Compute
Title
Area:
length
length
Area:
Perimeter:
width Book
Perimeter:
width length
width
area
Bookorder Math Sheets developed by Kevin S. Spencer
perimeter
name:
Bookorder Math
ELAPSED TIME:
Find a book where the number of pages is given. Title: ______________________________________________ # of pages _________ It takes an average of one minute to read one page; how many minutes would it take to read the entire book? __________ minutes
__________ minutes = __________ hours & __________ minutes If you started to read this book at 10:00 am, what time would you be finished?
______________________
Find a book where the number of pages is given. Title: ______________________________________________ # of pages _________ It takes an average of 30 seconds to read one page; how many minutes would it take to read the entire book? __________ minutes
__________ minutes = __________ hours & __________ minutes If you started to read this book at 9:30 PM, what time would you be finished?
______________________
Find a book where the number of pages is given. Title: ______________________________________________ # of pages _________ It takes an average of 45 seconds to read one page; how many minutes would it take to read the entire book? __________ minutes
__________ minutes = __________ hours & __________ minutes If you started to read this book when the first bell rang this morning, would you be finished by lunch time? ______________________ Why/Why not? _______________________________________________________
Bookorder Math Sheets developed by Kevin S. Spencer