Download Math 7 Summer Packet Graphic Organizer

Math 7
• DEALING WITH DATA
• MEASURES OF TENDENCY
• QUARTILES
• BOX AND WHISKERS
STANDARDS
• MCC7.SP.3: Informally assess the degree of visual overlap of
two numerical data distributions with similar variability’s,
measuring the difference between the centers by expressing
it as a multiple of a measure of variability. For example, the
mean height of players on the basketball team is 10cm greater
than the mean height of players on the soccer team, about
twice the variability (mean absolute deviation) on either
team; on a dot plot, the separation between the two
distributions of heights is noticeable.
• MCC7.SP.4: Use measures of center and measures of
variability for numerical data from random samples to draw
informal comparative inferences about two populations. For
example, decide whether the words in a chapter of a seventhgrade science book are generally longer than the words in a
chapter of a fourth-grade science book.
Measure of Central Tendency
• MEAN
=
AVERAGE
• MEDIAN
=
MIDDLE
• MODE
=
MOST OFTEN
Measure of Variance
• RANGE
=
LARGEST # - SMALLER#
Steps To Finding Measures
of Central Tendency
• Arrange the numbers in order from least to
greatest
• Add “all” the numbers together and divide by
the total number of numbers (mean).
• Find the middle number. This is the median.
If there are two numbers in the middle, add
the two numbers and divide by 2.
• Look for number that appears most often.
Example
•
•
•
•
•
•
Data Set: 21, 3, 14, 8, 12, 2, 3
Least to Greatest: 2, 3, 3, 8, 12, 14, 21
Total of “All” numbers = 63
63 divided by 7 = 9 (this is the mean)
Middle Number = 8 (this is the median)
Number appearing most often = 3 (this
is the Mode)
QUARTILES
1ST QUARTILE
• The median of the lower half of the
numbers
2nd QUARTILE
• (Median) The middle of the whole set of
data
3rd QUARTILE
• The median of the upper half of the
numbers
Example
• Data Set: 2, 3, 3, 8, 12, 14, 21
• Quartile = 3
nd
• 2 Quartile (median) = 8
• 3rd Quartile = 14
st
1
BOX AND WHISKERS
• A box and whiskers is a graph that
divides a set of data into four parts.
• Lower Extreme = 2
• Upper Extreme = 21
• 1st Quartile = 3
• 2nd Quartile (median) = 8
• 3rd Quartile = 14
Example
• Data Set: 2, 3, 3, 8, 12, 14, 21
__________________________________
LE = 2
UE = 19
1st Q = 3
2nd Q = 8
3rd Q = 14
NOW YOU TRY
• LOOK ON THE BACK OF
THE GRAPHIC ORGANIZER
• USE THE DATA SET GIVEN
• GOOD LUCK  !!!!
CLOSING
Write answers on Sticky Note and
paste on Door when exiting class
• What is the Mean, Median and
Mode of the following Data Set:
15, 5, 12, 8, 5