Mean, Median, Mode & Range

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Transcript Mean, Median, Mode & Range

Directions: Please come in and get your journal. On your next blank
page, write today’s date on the top line. Title this page ~ Measures
of Central Tendencies and Graphs. Below the date, write the
Challenge Question.
Challenge Question: How can you decide which graph best
represents certain types of data?
Warm-up (independent, level 0 noise):
Please complete this in your journal below the CQ
1.If
I give my son $12.35 each week in allowance, how much will he
have in his wallet after 8 weeks? He already has $24.75 in his wallet
at this time.
Mean means Average
 Step
1 – Add all the numbers.
8, 10, 12, 18, 22, 26
8+10+12+18+22+26 = 96
 Step
2 – Divide the sum by
the # of numbers.
# of addends
16
6) 96
6
36
36
sum
The mean or average of
these numbers is 16.
8, 10, 12, 18, 22, 26
Median is in the Middle
 Median
– the middle number in
a set of ordered numbers.
1, 3, 7, 10, 13
Median = 7
 Step
1 – Arrange the numbers in
order from least to greatest.
21, 18, 24, 19, 27
18, 19, 21, 24, 27
 Step
2 – Find the middle
number.
21, 18, 24, 19, 27
18, 19, 21, 24, 27
This is your median number.
 Step
3 – If there are two middle
numbers, find the mean of these
two numbers.
18, 19, 21, 25, 27, 28
 Step
3 – If there are two middle
numbers, find the mean of these
two numbers.
21+ 25 = 46
median
23
2) 46
29, 8, 4, 11, 19
4, 8, 11, 19, 29
11
31, 7, 2, 12, 14, 19
2, 7, 12, 14, 19, 31
13
12 + 14 = 26 2) 26
MOde occurs the MOst
1, 1, 3, 7, 10, 13
Mode = 1
 Step
1 – Arrange the numbers in
order from least to greatest.
21, 18, 24, 19, 18
18, 18, 19, 21, 24
 Step
2 – Find the number
that is repeated the most.
21, 18, 24, 19, 18
18, 18, 19, 21, 24
29, 8, 4, 8, 19
4, 8, 8, 19, 29
8
 Range
– the difference between
the greatest and the least value
in a set of numbers.
1, 1, 3, 7, 10, 13
Range = 12
 Step
1 – Arrange the numbers in
order from least to greatest.
21, 18, 24, 19, 27
18, 19, 21, 24, 27
 Step
2 – Find the lowest
and highest numbers.
21, 18, 24, 19, 27
18, 19, 21, 24, 27
 Step
3 – Find the difference
between these 2 numbers.
18, 19, 21, 24, 27
27 – 18 = 9
The range is 9
29, 8, 4, 8, 19
4, 8, 8, 19, 29
29 – 4 = 25
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
Bar graph
Line plot
Line graph
Circle graph
Venn diagram
Stem-and-Leaf plot
A bar graph is a chart that uses bars to
symbolize the quantity of something.
Choir

A line plot shows data on a number
line with x or other marks to show
frequency.
The line plot below shows the test scores of 26
students
A graph that uses points connected by
lines to show how something changes
in value (as time goes by, or as
something else happens).
A
pie chart is a circular chart
divided into sectors, each sector
shows the relative size of each
value.
a
diagram that uses overlapping
circles to show collections of
mathematical elements and what
they have in common.
A plot where each data value is split
into a "leaf" (usually the last digit)
and a "stem" (the other digits).