5 Minute Check Find the mean, median and mode for each data set. Complete in your notebook , 85, 92, , 71, 73, 64, 67, 71, , 62, 62, 57, 48, 42, 40

5 Minute Check Find the mean, median and mode for each data set. Complete in your notebook , 85, 92, 86

5 Minute Check Find the mean, median and mode for each data set. Complete in your notebook , 85, 92, 86 Mean: (85+ 86,+92,+97) ÷ 4= 90

5 Minute Check Find the mean, median and mode for each data set. Complete in your notebook , 85, 92, 86 85, 86, 92, 97 Mean: (85+ 86,+92,+97) ÷ 4= 90 Median: (86+92) ÷ 2 = 89

5 Minute Check Find the mean, median and mode for each data set. Complete in your notebook , 85, 92, 86 85, 86, 92, 97 Mean: (85+ 86,+92,+97) ÷ 4= 90 Median: (86+92) ÷ 2 = 89 Mode: None

5 Minute Check Find the mean, median and mode for each data set. Complete in your notebook , 71, 73, 64, 67, 71, 65

5 Minute Check Find the mean, median and mode for each data set. Complete in your notebook , 71, 73, 64, 67, 71, 65 Mean: ( ,+71,+71,+72,+73) ÷ 7= 69

5 Minute Check Find the mean, median and mode for each data set. Complete in your notebook , 71, 73, 64, 67, 71, 65 64, 65, 67, 71, 71, 72, 73 Mean: ( ,+71,+71,+72,+73) ÷ 7= 69 Median: 71

5 Minute Check Find the mean, median and mode for each data set. Complete in your notebook , 71, 73, 64, 67, 71, 65 64, 65, 67, 71, 71, 72, 73 Mean: ( ,+71,+71,+72,+73) ÷ 7= 69 Median: 71 Mode: 71

5 Minute Check Find the mean, median and mode for each data set. Complete in your notebook , 62, 62, 57, 48, 42, 40

5 Minute Check Find the mean, median and mode for each data set. Complete in your notebook , 62, 62, 57, 48, 42, 40 Mean: ( ) ÷ 7= 51

5 Minute Check Find the mean, median and mode for each data set. Complete in your notebook , 62, 62, 57, 48, 42, 40 40, 42, 46, 48, 57, 62, 62 Mean: ( ) ÷ 7= 51 Median: 48

5 Minute Check Find the mean, median and mode for each data set. Complete in your notebook , 62, 62, 57, 48, 42, 40 40, 42, 46, 48, 57, 62, 62 Mean: ( ) ÷ 7= 51 Median: 48 Mode: 62

5 Minute Check Turn to page 828 in your book.

5 Minute Check Turn to page 828 in your book.

5 Minute Check Turn to page 828 in your book.

5 Minute Check Turn to page 828 in your book.

5 Minute Check Turn to page 828 in your book.

5 Minute Check Turn to page 828 in your book.

5 Minute Check Turn to page 828 in your book.

5 Minute Check Turn to page 828 in your book.

5 Minute Check Turn to page 828 in your book.

5 Minute Check Turn to page 828 in your book.

5 Minute Check Turn to page 828 in your book.

5 Minute Check Turn to page 828 in your book.

5 Minute Check Turn to page 828 in your book.

5 Minute Check Turn to page 828 in your book.

5 Minute Check Turn to page 828 in your book.

Mid-Chapter Check Everything off your desk except for pencil, blank scrap paper, and calculator. Use the correct units! When complete, work on Accum Rev 12 or Blizzard Bag 2.

Monday, March 23 Chapter Appropriate Measures

Objective: To choose an appropriate measure of central tendency.

Appropriate Measures Sometimes one method is more appropriate than others to use to summarize a data set.

Appropriate Measures Sometimes one method is more appropriate than others to use to summarize a data set.

Appropriate Measures Sometimes one method is more appropriate than others to use to summarize a data set.

Appropriate Measures Sometimes one method is more appropriate than others to use to summarize a data set.

Appropriate Measures Sometimes one method is more appropriate than others to use to summarize a data set.

Appropriate Measures Sometimes one method is more appropriate than others to use to summarize a data set.

Appropriate Measures Sometimes one method is more appropriate than others to use to summarize a data set.

Appropriate Measures Sometimes one method is more appropriate than others to use to summarize a data set.

Appropriate Measures Sometimes one method is more appropriate than others to use to summarize a data set.

Appropriate Measures Mean – Use when the data set has no outliers or mode. Outliers are values that are significantly lower or higher than the set.

Appropriate Measures Mean – Use when the data set has no outliers or mode. Median – Use when the data set has outliers and there are no large gaps in the middle of the data.

Appropriate Measures Mean – Use when the data set has no outliers or mode. Median – Use when the data set has outliers and there are no large gaps in the middle of the data. Mode – Use when the data set has many repeated numbers.

Appropriate Measures The table shows the prices of athletic shoes. Which measure of center best represents the data? Then find that measure of center. Does the data set have an outlier?

Appropriate Measures The table shows the prices of athletic shoes. Which measure of center best represents the data? Then find that measure of center. Does the data set have an outlier? $78.95

Appropriate Measures The table shows the prices of athletic shoes. Which measure of center best represents the data? Then find that measure of center. Does the data set have an outlier? $78.95 Does the data set have repeated values?

Appropriate Measures The table shows the prices of athletic shoes. Which measure of center best represents the data? Then find that measure of center. Does the data set have an outlier? $78.95 Does the data set have repeated values? No What measure of center would be best?

Appropriate Measures The table shows the prices of athletic shoes. Which measure of center best represents the data? Then find that measure of center. Since the data set has an outlier ($78.95), the median would be the best method. What is the median?

Appropriate Measures The table shows the prices of athletic shoes. Which measure of center best represents the data? Then find that measure of center. What is the median? $39.95, $46.50, $47.50, $48.50, $51.95, $52.95, $78.95 Median is $48.50

Appropriate Measures The table shows the number of medals won by the US. Which measure of center best represents the data? Then find that measure of center. Does the data set have an outlier?

Appropriate Measures The table shows the number of medals won by the US. Which measure of center best represents the data? Then find that measure of center. Does the data set have an outlier? No

Appropriate Measures The table shows the number of medals won by the US. Which measure of center best represents the data? Then find that measure of center. Does the data set have an outlier? No Does the data set have repeated values?

Appropriate Measures The table shows the number of medals won by the US. Which measure of center best represents the data? Then find that measure of center. Does the data set have an outlier? No Does the data set have repeated values? No What measure of center would be best?

Appropriate Measures The table shows the number of medals won by the US. Which measure of center best represents the data? Then find that measure of center. Since the data set has no outlier or repeated values, mean would be the best method. What is the mean?

Appropriate Measures The table shows the number of medals won by the US. Which measure of center best represents the data? Then find that measure of center. What is the mean? = 523 ÷ 5 = is the measure of center that best represents the data.

Appropriate Measures The table shows the water temperature over several days. Which measure of center best represents the data? Then find that measure of center. Does the data set have an outlier?

Appropriate Measures The table shows the water temperature over several days. Which measure of center best represents the data? Then find that measure of center. Does the data set have an outlier? No

Appropriate Measures The table shows the water temperature over several days. Which measure of center best represents the data? Then find that measure of center. Does the data set have an outlier? No Does the data set have repeated values?

Appropriate Measures The table shows the water temperature over several days. Which measure of center best represents the data? Then find that measure of center. Does the data set have an outlier? No Does the data set have repeated values? Yes What measure of center would be best?

Appropriate Measures The table shows the water temperature over several days. Which measure of center best represents the data? Then find that measure of center. Since 82 is repeated 4 times, we will use mode. 82˚ is the measure of center that best represents the data.

Appropriate Measures Sometimes data sets contain outliers that may effect the measures of center. We can see this by calculating the measures of center with and without an outlier.

Appropriate Measures The table shows the average life span of some animals. Which measure of center best represents the data? Then find the measure of center. Calculate the measure of center with and without the outlier.

Appropriate Measures The table shows the average life span of some animals. Which measure of center best represents the data? Then find the measure of center. What are the measures of center with the outlier?

Appropriate Measures The table shows the average life span of some animals. Which measure of center best represents the data? Then find the measure of center. What are the measures of center without the outlier? With Outlier Mean Median – 35 Mode – 30

Appropriate Measures The table shows the average life span of some animals. Which measure of center best represents the data? Then find the measure of center. Which measure of center would you choose and why? With Outlier Mean Median – 35 Mode – 30 Without Outlier Mean – 39.2 Median – 32.5 Mode – 30

Appropriate Measures The table shows the depth of six lakes. Determine how the outlier effects the measures of center. Which measure of center best describes the data with and without the outlier. Calculate the measure of center with and without the outlier.

Appropriate Measures The table shows the depth of six lakes. Determine how the outlier effects the mean, median, mode and range. Which measure of center best describes the data with and without the outlier. With OutlierWithout Outlier Mean Mean – 30.6 Median – 33.5Median – 24 Mode – noneMode – none With the outlier, the best measure is the median. Without the outlier, the best measure is the mean.

Blizzard Bag 2

Appropriate Measures Agenda Notes Homework– Homework Practice Due Tuesday, March 24 Chapter 6.11 Test Friday, March 27