Algebra Room 424 Ms. Miller

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Please sign in next to your name on the sheet by the door.

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I am in my room from 12:00 - 12:30 for tutoring if you ever want extra help.

(PLEASE LET ME KNOW)

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The day’s lesson and the homework will be posted to my website by the end of each day.

www.mrsmillersmathtutoring.com

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Always feel free to email me with any questions or concerns.

jmiller1@camdencc.edu

Warm Up: You have 10 minutes to work on these problems. Then, we will go over them.

Warm Up: You have 10 minutes to work on these problems. Then, we will go over them.

First, identify the outlier. Then find the mean and the median of the data set.

Workbook page 31

Using Typical Values

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When news sources report the results of a survey or study, they don’t usually tell you all of the data.

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Instead, they might sum up the study with a typical value.

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You must use your knowledge of mean, median, and mode to interpret the information.

Workbook page 32

TIPS:

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Average = Mean

Be careful – Outliers can make the mean misleading

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Median = Middle

Outlier don’t have a big effect on the median

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Mode = Most

Useful when you care what is popular or frequent.

Workbook page 32

Use your knowledge of mean, median, and mode to answer the following questions.

Workbook page 32

1. In Mr. Bound’s class, 1 student scores a 76 on a test, 10 students scored above 76, and 10 students scored below 76. What typical value does a score of 76 represent?
1. Mean
2. Median
3. Mode

2. The manager at a toy store wants to reorder the items that sell the best. Which typical value should he use to decide which items to reorder?
1. Mean
2. Median
3. Mode

Since an equal number of students scored above and below 76, 76 must be the middle (median) score.

The items that sell the best and the items the store sells the most.

Workbook page 32

3. Explain You are researching housing prices. You can afford a house that will sell for about $150,000. You know the mean, median, and mode for a certain neighborhood. Which typical value would be the most helpful in deciding whether you can afford a house in this neighborhood? Explain your answer.

Use your knowledge of mean, median, and mode to answer the following questions.

Workbook page 32

Use your knowledge of mean, median, and mode to answer the following questions.

4. An office poll asks employees how many cups of coffee they drink in a week. The mean of the data is 15, but the median is 21. Which of the following is true?
1. A few people drink much fewer than 21 cups of coffee a week
2. A few people drink much more than 21 cups of coffee a week
3. Most people drink between 15 and 21 cups of coffee a week

A low Outlier will make the mean (average) lower than the median.

Workbook page 32

5. Out of the 25 students in a 5^th grade class, 22 are between 49 and 51 inches tall. Three students are 59 inches tall. Which of the following must be true?
1. The median is higher than the mean
2. The mean is higher than the median

Use your knowledge of mean, median, and mode to answer the following questions.

A high Outlier will make the mean (average) higher than the median.

Workbook page 32

6. Explain The mean salary for NBA basketball players is about $5 million a year. The median salary for NBA players is about $2.5 million a year. Why do you think the two typical values are so different?

Use your knowledge of mean, median, and mode to answer the following questions.

A high Outlier will make the mean (average) higher than the median.

Sometimes line graphs display the mean, median, or mode of a data set.

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These graphs show how typical values change over time.

Workbook page 33

USING TYPICAL VALUES TO INTERPRET GRAPHS

Workbook page 33

Example: This graph shows the U.S. median age from 1970 to the estimated value for 2020. What can you conclude about the U.S. population?

You can see that the median age has increased from 1970 to present.

The median is the middle value. If the median age in 2010 is 37, that means there is an equal number of people younger than 37 and older than 37.

If the median age is increasing, you can conclude that the whole population is getting older.

Do you want to see why?

Use the bar graph for problems 7 & 8.

Workbook page 33

The graph shows the average high temperature in a forest from March to June. Researchers recorded the high temperature for each day in a month and calculated the average of those values.

7. Which typical value does this graph use?

Use the circle graph for problems 9 & 10.

Workbook page 33

The graph shows the breakdown of dress sales at a boutique over the weekend.

9. Which sizes represent the mode of the data?

10. Explain Can you determine from the graph what the median size would be? Explain your answer.

Numbers 9 & 10 are HOMEWORK

GED PRACTICE

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NO CALCULATOR

Tonight’s homework:

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Page 33, numbers 9 and 10

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Go to: deltamath.com

Use Class Code F9BL-8H62 to create a student account

Data Review

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