Tuesday, Oct 30
5 Minute CheckComplete on the back of your homework.1. The
number of songs downloaded per month by a group of friends were
8,12,6,4,2,0, and 10. Find the measure of center that best
represents the data. 2. The ages of participants in a relay race
are 12,15,14,13,15,12, 22,16, and 11. Identify the outlier in the
data set. Determine how the outlier affects the mean, median, and
mode. Tell which measure of center best describes the data with and
without the outliers.
5 Minute CheckComplete on the back of your homework.1. The
number of songs downloaded per month by a group of friends were
8,12,6,4,2,0, and 10. Find the measure of center that best
represents the data.
5 Minute CheckComplete on the back of your homework.1. The
number of songs downloaded per month by a group of friends were
8,12,6,4,2,0, and 10. Find the measure of center that best
represents the data. Since the data set has no outliers or repeated
values, the mean or median would be the best. Mean = 6Median =
6
5 Minute CheckComplete on the back of your homework.2. The ages
of participants in a relay race are 12,15,14,13,15,12,22,16, and
11. Identify the outlier in the data set. Determine how the outlier
affects the mean, median, and mode. Tell which measure of center
best describes the data with and without the outliers.
5 Minute CheckComplete on the back of your homework.2. The ages
of participants in a relay race are 12,15,14,13,15,12,22,16, and
11. Identify the outlier in the data set. Determine how the outlier
affects the mean, median, and mode. Tell which measure of center
best describes the data with and without the outliers. Outlier is
22. Without OutlierWith OutlierMean 13.5Mean 14.4Median 13.5Median
14Mode 12 &15Mode 12 & 15The mode best describe the data
because it does not change with the outlier.
Tuesday, March 24Chapter 6.11.3
Measures of VariationMeasures of VariationObjective: To find the
measure of variation in a data set. Measures of VariationMeasures
of variation is used to describe the distribution, or spread, of
the data.
Measures of VariationMeasures of variation include:Range1st and
3rd Quartiles (Q and Q)Interquartile Range (IQR)
Measures of VariationFind the measures of variation for the data
set. 5, 8, 4, 4, 9, 6, 3, 8, 7
How to find the Measures of VariationPut the data set in order
from least to greatest.
Measures of VariationFind the measures of variation for the data
set. 5, 8, 4, 4, 9, 6, 3, 8, 73, 4, 4, 5, 6, 7, 8, 8, 9
How to find the Measures of VariationPut the data set in order
from least to greatest.
Measures of VariationFind the measures of variation for the data
set. 5, 8, 4, 4, 9, 6, 3, 8, 73, 4, 4, 5, 6, 7, 8, 8, 9
RangeSubtract the least number from the greatest number in the
data set.
Measures of VariationFind the measures of variation for the data
set. 5, 8, 4, 4, 9, 6, 3, 8, 73, 4, 4, 5, 6, 7, 8, 8, 9Range:
9-3=6
RangeSubtract the least number from the greatest number in the
data set.
Range:6Measures of VariationFind the measures of variation for
the data set. 5, 8, 4, 4, 9, 6, 3, 8, 73, 4, 4, 5, 6, 7, 8, 8,
9
1st quartile. Step 1 -Circle the bottom half of numbers. If
there is a single median, do not include.
Range:6Measures of VariationFind the measures of variation for
the data set. 5, 8, 4, 4, 9, 6, 3, 8, 73, 4, 4, 5, 6, 7, 8, 8, 9
single median
1st quartile. Step 1 -Circle the bottom half of numbers. If
there is a single median, do not include.
Range:6Measures of VariationFind the measures of variation for
the data set. 5, 8, 4, 4, 9, 6, 3, 8, 73, 4, 4, 5, 6, 7, 8, 8,
9
1st quartile. Step 2 - Find the middle number, or an average of
the two middle numbers in the circle.
Range:6Measures of VariationFind the measures of variation for
the data set. 5, 8, 4, 4, 9, 6, 3, 8, 73, 4, 4, 5, 6, 7, 8, 8,
9
1st quartile. Step 2 - Find the middle number, or an average of
the two middle numbers in the circle.
Range:61st Q: 4Measures of VariationFind the measures of
variation for the data set. 5, 8, 4, 4, 9, 6, 3, 8, 73, 4, 4, 5, 6,
7, 8, 8, 9
3rd quartile. Step 1 -Circle the top half of numbers.
Range:61st Q: 4Measures of VariationFind the measures of
variation for the data set. 5, 8, 4, 4, 9, 6, 3, 8, 73, 4, 4, 5, 6,
7, 8, 8, 9
3rd quartile. Step 1 -Circle the top half of numbers.
Range:61st Q: 4Measures of VariationFind the measures of
variation for the data set. 5, 8, 4, 4, 9, 6, 3, 8, 73, 4, 4, 5, 6,
7, 8, 8, 9
3rd quartile. Step 2 - Find the middle number, or an average of
the two middle numbers in the circle.
Range:61st Q: 4Measures of VariationFind the measures of
variation for the data set. 5, 8, 4, 4, 9, 6, 3, 8, 73, 4, 4, 5, 6,
7, 8, 8, 9
3rd quartile. Step 2 - Find the middle number, or an average of
the two middle numbers in the circle.
Range:61st Q: 43rd Q: 8Measures of VariationFind the measures of
variation for the data set. 5, 8, 4, 4, 9, 6, 3, 8, 73, 4, 4, 5, 6,
7, 8, 8, 9
Interquartile Range. Subtract Q1 from Q3 .
Range:61st Q: 43rd Q: 8Measures of VariationFind the measures of
variation for the data set. 5, 8, 4, 4, 9, 6, 3, 8, 73, 4, 4, 5, 6,
7, 8, 8, 98 4 = 4
Interquartile Range. Subtract Q1 from Q3 .
Range:61st Q: 43rd Q: 8IQR: 4
Measures of VariationFind the measures of variation for the data
set.
What do we do first?
Measures of VariationFind the measures of variation for the data
set. 1, 8, 25, 30, 50, 70
Range?
Range:Q: Q: IQR:Measures of VariationFind the measures of
variation for the data set. 1, 8, 25, 30, 50, 70 70 1 = 69Q1?
Range:69 Q: Q: IQR:Measures of VariationFind the measures of
variation for the data set. 1, 8, 25, 30, 50, 70
Q3?
Range:69Q: 8Q: IQR:Measures of VariationFind the measures of
variation for the data set. 1, 8, 25, 30, 50, 70
IQR?
Range:69Q: 8Q: 50IQR:Measures of VariationFind the measures of
variation for the data set. 1, 8, 25, 30, 50, 70 50 8 = 42
Range:69Q: 8Q: 50IQR:42Measures of VariationAn outlier is a data
value that is either much greater or less than the median. Measures
of VariationAn outlier is a data value that is either much greater
or less than the median.
An outlier is more than 1.5 times the IQRMeasures of
VariationFind the measures of variation for the data set. 1, 8, 25,
30, 50, 70
To Find an OutlierStep 1 Multiply the IQR by 1.5.Range:69Q: 8Q:
50IQR:42Measures of VariationFind the measures of variation for the
data set. 1, 8, 25, 30, 50, 70
42 1.5 = 63
To Find an OutlierStep 1 Multiply the IQR by 1.5.Range:69Q: 8Q:
50IQR:42Measures of VariationFind the measures of variation for the
data set. 1, 8, 25, 30, 50, 70
42 1.5 = 63
To Find an OutlierStep 2 Subtract this from Q and add to Q.
Range:69Q: 8Q: 50IQR:42Measures of VariationFind the measures of
variation for the data set. 1, 8, 25, 30, 50, 70
8 - 63 = -5550 + 63 = 113To Find an OutlierStep 2 Subtract this
from Q and add to Q. Range:69Q: 8Q: 50IQR:42Measures of
VariationFind the measures of variation for the data set. 1, 8, 25,
30, 50, 70
8 - 63 = -5550 + 63 = 113To Find an OutlierStep 3 Determine if
any numbers in the data set are outside this range. Range:69Q: 8Q:
50IQR:42Measures of VariationFind the measures of variation for the
data set. 1, 8, 25, 30, 50, 70
8 - 63 = -55, No50 + 63 = 113, NoTo Find an OutlierStep 3
Determine if any numbers in the data set are outside this range.
Range:69Q: 8Q: 50IQR:42Measures of VariationThe lengths of various
bridges are 88, 345, 867, 251, 546,1903 and 274 feet. Find the
measures of variation and any outliers.
Measures of VariationThe lengths of various bridges are 88, 345,
867, 251, 546,1903 and 274 feet. Find the measures of variation and
any outliers.
88, 251, 274, 345, 546, 867,1903
Range: 1903-88 = 1815Range: 1815Q: Q: IQR: Outlier:
Measures of VariationThe lengths of various bridges are 88, 345,
867, 251, 546,1903 and 274 feet. Find the measures of variation and
any outliers.
88, 251, 274, 345, 546, 867,1903
Q: 251Range: 1815Q: 251Q: IQR: Outlier:
Measures of VariationThe lengths of various bridges are 88, 345,
867, 251, 546,1903 and 274 feet. Find the measures of variation and
any outliers.
88, 251, 274, 345, 546, 867,1903
Q: 867Range: 1815Q: 251Q: 867IQR: Outlier:
Measures of VariationThe lengths of various bridges are 88, 345,
867, 251, 546,1903 and 274 feet. Find the measures of variation and
any outliers.
88, 251, 274, 345, 546, 867,1903
IQR: 867-251=616Range: 1815Q: 251Q: 867IQR: 616Outlier:
Measures of VariationThe lengths of various bridges are 88, 345,
867, 251, 546,1903 and 274 feet. Find the measures of variation and
any outliers.
88, 251, 274, 345, 546, 867,1903Outliers:616 x 1.5 = 924251-924
and 867+924- 673 to 1791Range: 1815Q: 251Q: 867IQR: 616Outlier:
1903
Measures of VariationTemperatures for the first half of the year
are given for two cities. Compare and contrast the measures of
variation of the two cities.
Do this on your own.
Measures of VariationTemperatures for the first half of the year
are given for two cities. Compare and contrast the measures of
variation of the two cities.
The Q1, Q3 and IQR are similar, but the range is more spread out
in the Antelope data.
MT MERange: 5847Q: 3032Q: 7066IQR: 4034Outlier: nonenoneMeasures
of VariationThe double stem and leaf plot shows the high
temperatures for two cities in the same week. Compare and contrast
the measures of variation of the two cities.
Do this on your own.
Measures of VariationThe double stem and leaf plot shows the
high temperatures for two cities in the same week. Compare and
contrast the measures of variation of the two cities.
The Minneapolis temperatures are closer together than the
Columbus temperatures.
Minn ColRange: 2337Q: 2127Q: 3648IQR: 1521Outlier: nonenonePARCC
9PARCC 9PARCC EXTRAHow many square cubes with a side dimension of
1/2 in will fit in the box below?
5in
4 in6 inPARCC EXTRAHow many square cubes with a side dimension
of 1/2 in will fit in the box below?
5in
4 in6 in12 cubes8 cubes10 cubes12 x 8 x 10 = 960 cubes PARCC
EXTRAHow many square cubes with a side dimension of 1/2 in will fit
in the box below?
5in
4 in6 in6 x 4 x 5 = 120 in
There are 8 cubes in one sq in. 120 x 8 = 960 cubesMeasures of
VariationAgenda Notes
Homework Homework Practice 6.11.3Due Wednesday, March 25
Chapter 6.11 TestFriday, March 27
