Download 3-20 PPT

5 Minute Check
Find the mean, median and mode of the data
sets. Round to the tenth. Complete in your
notebook.
1.
2.
5 Minute Check
Find the mean, median and mode of the data
sets. Round to the tenth. Complete in your
notebook.
1.
5 Minute Check
Find the mean, median and mode of the data
sets. Round to the tenth. Complete in your
notebook.
1.
Mean = 33.4
Median = 28
Mode = 15 , 25
5 Minute Check
Find the mean, median and mode of the data
sets. Round to the tenth. Complete in your
notebook.
2.
5 Minute Check
Find the mean, median and mode of the data
sets. Round to the tenth. Complete in your
notebook.
2.
Mean = 85.7
Median = 85
Mode = 85, 100
Friday, March 20
Chapter 6.11.1/6.11.2
Mean, Median and Mode
Mean, Median and Mode
Objective: To find and interpret the mean,
median and mode from a data set.
Mean, Median and Mode
The mean, median and mode are called
measures of center because they describe
the center of a data set.
Mean, Median and Mode
The mean (or average) of a data set is the sum
of the data values divided by the number of
pieces of data.
It is the balance point of the data set.
Mean, Median and Mode
The mean (or average) of a data set is the sum
of the data values divided by the number of
pieces of data.
The median of a data set is the value at the
center of an ordered set, or the mean of the
two central values.
Mean, Median and Mode
The mean (or average) of a data set is the sum
of the data value divided by the number of
pieces of data.
The median of a data set is the value at the
center of an ordered set, or the mean of the
two central values.
The mode is the number or numbers that
appears most often in a data set.
Mean, Median and Mode
A measure of center can not be larger than
the largest data point or smaller than the
smallest data point.
Mean, Median and Mode
Dave recorded his 7 tests scores on the table.
Find the mean, median and mode. Round to
the tenth, if needed.
To Find the Mean.
Step 1 – Add the numbers in the data set.
Mean, Median and Mode
Dave recorded his 7 tests scores on the table.
Find the mean, median and mode. Round to
the tenth, if needed.
93+85+88+97+94+90+93=640
To Find the Mean.
Step 1 – Add the numbers in the data set.
Mean, Median and Mode
Dave recorded his 7 tests scores on the table.
Find the mean, median and mode. Round to
the tenth, if needed.
93+85+88+97+94+90+93=640
To Find the Mean.
Step 2 – Divide the sum by how many
numbers are in the data set.
Mean, Median and Mode
Dave recorded his 7 tests scores on the table.
Find the mean, median and mode. Round to
the tenth, if needed.
93+85+88+97+94+90+93=640
640 ÷ 7= 91.4
To Find the Mean.
Step 2 – Divide the sum by how many
numbers are in the data set.
Mean, Median and Mode
Dave recorded his 7 tests scores on the table.
Find the mean, median and mode. Round to
the tenth, if needed.
To Find the Median.
Step 1 – Order the data set from least to
greatest.
Mean, Median and Mode
Dave recorded his 7 tests scores on the table.
Find the mean, median and mode. Round to
the tenth, if needed.
85, 88, 90, 93, 93, 94, 97
To Find the Median.
Step 1 – Order the data set from least to
greatest.
Mean, Median and Mode
Dave recorded his 7 tests scores on the table.
Find the mean, median and mode. Round to
the tenth, if needed.
85, 88, 90, 93, 93, 94, 97
To Find the Median.
Step 2 – Find the middle number or the mean
of the two middle numbers.
Mean, Median and Mode
Dave recorded his 7 tests scores on the table.
Find the mean, median and mode. Round to
the tenth, if needed.
85, 88, 90, 93, 93, 94, 97
To Find the Median.
Step 2 – Find the middle number or the mean
of the two middle numbers.
Mean, Median and Mode
Dave recorded his 7 tests scores on the table.
Find the mean, median and mode. Round to
the tenth, if needed.
85, 88, 90, 93, 93, 94, 97
To Find the Mode.
Find the number, or numbers that occur most
often.
Mean, Median and Mode
Dave recorded his 7 tests scores on the table.
Find the mean, median and mode. Round to
the tenth, if needed.
Mean – 91.4
Median – 93
Mode - 93
Mean, Median and Mode
Find the mean, median and mode of the
temperatures on the graph. Round to the
tenth, if needed.
Do this on your own.
Mean, Median and Mode
Find the mean, median and mode of the
temperatures on the graph. Round to the
tenth, if needed.
Mean
64.4 + 71.2 + 55.8 + 58.2= 249.6
246.6 ÷ 4 = 62.4
Mean, Median and Mode
Find the mean, median and mode of the
temperatures on the graph. Round to the
tenth, if needed.
Median
55.8, 58.2, 64.4, 71.2
58.2 + 64.4 = 122.6
122.6 ÷ 2 =61.3
Mean, Median and Mode
Find the mean, median and mode of the
temperatures on the graph. Round to the
tenth, if needed.
Mode
Since no numbers occur
more than once, there is
no mode.
Mean, Median and Mode
The dot plot shows the number of beads sold.
Find the mean, median and mode.
Do this on your own.
Mean, Median and Mode
The dot plot shows the number of beads sold.
Find the mean, median and mode.
Mean = 5+7+7+7+8+8=42÷6=7
Median = 5, 7, 7, 7, 8, 8= 7
Mode = 7
Mean, Median and Mode
The dot plot shows the recorded high
temperatures for six days in Little Rock,
Ark. Find the mean, median and mode
temperatures.
Do this on your own.
Mean, Median and Mode
The dot plot shows the recorded high
temperatures for six days in Little Rock,
Ark. Find the mean, median and mode
temperatures.
Mean = 45+45+47+49+50+52=288÷6=48
Median = 45, 45, 47, 49, 50, 53= 48
Mode = 45
Mean, Median and Mode
Find the mean, median and mode for the data
set.
Do this on your own.
Mean, Median and Mode
Find the mean, median and mode for the data
set.
Mean = 8+5+7+12=32÷4=8
Median = 5, 7, 8, 12 = 7.5
Mode = none
Mean, Median and Mode
Find the mean, median and mode for the data
set.
Do this on your own.
Mean, Median and Mode
Find the mean, median and mode for the data
set.
Mean = 8+7+6+8+9+10=48÷6=8
Median = 6, 7, 8, 8, 9,10 = 8
Mode = 8
Mean, Median and Mode
Find the mean, median and mode for the data
set.
Do this on your own.
Mean, Median and Mode
Find the mean, median and mode for the data
set.
Mean = 8+10+15+12+11+8+6=70÷7=10
Median = 6, 8, 8, 10, 11,12, 15 = 10
Mode = 8
Mean, Median and Mode
John received an 85%, 86%, 91%, 88% on his
math tests. What is the least he must score
on the next test to have a mean (average) of
at least 90%?
Do this on your own.
Mean, Median and Mode
John received an 85%, 86%, 91%, 88% on his
math tests. What is the least he must score
on the next test to have a mean (average) of
at least 90%?
Mean = 85+86+91+88+ x = 90 · 5 = 450
350 + x = 450
-350
-350
x = 100
Mean, Median and Mode
A stem and leaf plot organizes data from least
to greatest. The “stem” is the first digit and
the “leaf” is the second digit in each number.
For example, in the number 32, the “3” would
be the “stem” and the “2” would be the “leaf”.
Mean, Median and Mode
What is the mean, median and mode of the
data in this stem and leaf plot?
Do this on your own.
Mean, Median and Mode
What is the mean, median and mode of the
data in this stem and leaf plot?
Mean
78+85+88+89+92+96= 718
718 ÷ 6 = 75
Mean, Median and Mode
What is the mean, median and mode of the
data in this stem and leaf plot?
Mean
78+85+88+89+92+96= 718
528 ÷ 6 = 88
Mean, Median and Mode
What is the mean, median and mode of the
data in this stem and leaf plot?
Median
78, 85,88,89,92,96
88 + 89 = 88.5
Mean, Median and Mode
What is the mean, median and mode of the
data in this stem and leaf plot?
Mode
There is no mode.
Mean, Median and Mode
Mike raked the leaves from 6 lawns. He
earned $12, $10, $13, $15, and $15 for five
lawns. How much did he earn the sixth time if
the mean of the data is $12?
Do this on your own.
Mean, Median and Mode
Mike raked the leaves from 6 lawns. He
earned $12, $10, $13, $15, and $15 for five
lawns. How much did he earn the sixth time if
the mean of the data is $12?
12 + 10 + 13 + 15 + 15 + x = 12 · 6
65 + x = 72
-65
-65
x=7
Mean, Median and Mode
Create a data set that has five values where
the mean is 34.
Mean, Median and Mode
Create a data set that has five values where
the mean is 34.
Sample answer – 27, 38, 26, 39, 40
Want must sum of the value always be?
Mean, Median and Mode
Create a data set that has five values where
the mean is 34.
Sample answer – 27, 38, 26, 39, 40
Want must sum of the values always be?
34 · 5 = 180
Mean, Median and Mode
Find the missing number in the data set.
(12, 37, 45, 18, 8, 25, 18, x)
The mean of a data set 23, the mode is 18 and the
median is 19.5
Mean, Median and Mode
Find the missing number in the data set.
(12, 37, 45, 18, 8, 25, 18, x)
If the mean of a data set 23 and there are 8 numbers
in the set, then they must add to 23 · 8, or 184.
The numbers we know add to 163.
184 – 163 = 21
The missing number must be 21.
Mean, Median and Mode
The mean of a data set 45. Find the missing
numbers in the data set,
(40, 45, 48, x, 54, y, 45)
Mean, Median and Mode
The mean of a data set 45. Find the missing
numbers in the data set,
(40, 45, 48, x, 54, y, 45)
40+45+48+x+54+y+45 = 45 · 7 = 315
232 + x + y = 315
-232
-232
x + y = 83
x and y can be any number that add to 83
Mean, Median and Mode
One evening at a pizzeria, the following number of
toppings were ordered on each large pizza.
3,0,1,1,2,5,4,3,1,0,0,1,1,2,2,3,6,4,3,2,0,2,1,3
True or false.
The greatest number of people ordered a pizza with
1 topping.
Mean, Median and Mode
One evening at a pizzeria, the following number of
toppings were ordered on each large pizza.
3,0,1,1,2,5,4,3,1,0,0,1,1,2,2,3,6,4,3,2,0,2,1,3
True or false.
The greatest number of people ordered a pizza with
1 topping. True, the mode is 1
Mean, Median and Mode
One evening at a pizzeria, the following number of
toppings were ordered on each large pizza.
3,0,1,1,2,5,4,3,1,0,0,1,1,2,2,3,6,4,3,2,0,2,1,3
True or false.
Half the customers ordered pizzas with 3 or more
toppings, and half ordered pizzas with less than 3
toppings.
Mean, Median and Mode
One evening at a pizzeria, the following number of
toppings were ordered on each large pizza.
3,0,1,1,2,5,4,3,1,0,0,1,1,2,2,3,6,4,3,2,0,2,1,3
True or false.
Half the customers ordered pizzas with 3 or more
toppings, and half ordered pizzas with less than 3
toppings. False, the median is 2
0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,5,6
Mean, Median and Mode
Agenda Notes
Homework–
Complete the Mid-Chapter check on
page 828
Mid-Chapter Quiz –Monday, March 23
Ch 6.9/6.10 test Corrections due Monday