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

National Voter Registration Day

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Tuesday, September 15^th @ 11 AM – 12 PM

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Room: CABS, 2^nd floor

Warm Up: You have 5 minutes to work on these problems. Then, we will go over them.

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Do these WITHOUT a calculator.

Use the bar graph and circle graph below to answer problems 7 and 8.

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7. Name two expenses that combine to equal about one-half of Beverly’s yearly budget. Which graph did you use?

8. Explain: In which situations is a circle graph most useful? Is which situations is a bar graph most useful?

HOMEWORK

A circle graph helps compare information to the whole. A bar graph helps compare categories of information.

Use the table and scatter plot below for problems 3 and 4.

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A company requires its employees to take a policy test every two years. Employees can study an online handbook that tracks hours. The results are listed in the table below.

3. Complete the scatter plot using the data in the table.

HOMEWORK

Use the table and scatter plot below for problems 3 and 4.

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4. Does the pattern on the scatter plot show a correlation between employees’ test scores and hours of study? If so, is the correlation positive of negative?

HOMEWORK

Yes

There is a Positive Correlation, more study time means a higher score

Use the line graph below for problems 9 – 12.

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9. In which year did Japan first produce more cars than the United States?

10. In which year did Germany first produce more cars than the United States?

HOMEWORK

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11. Which country’s share of the market remained the most constant from 1961 to 2011?

12. Explain: Describe Japan’s share of the automobile market from 1961 to 2011.

HOMEWORK

Use the line graph below for problems 9 – 12.

Finding the Mean

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A typical value is an amount that represents the values in a set of numbers. A typical value must fall within the series of numbers it represents. There are three common typical values in a set of numbers: mean, median, and mode.

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When most people use the word average, they are talking about the mean. For a set of values that are similar to each other, the mean is what you want to know when you ask,

“About how much….?”

To find the mean, add the value in a set of data, and then divide the sum by the number of values in the set.

Finding the Mean

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Example: Ella scores 14, 18, 11, and 16 points in her last 4 basketball games.

What is her scoring average?

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Step 1

Find the mean.

Add the values in the set.

Step 2

Divide the sum by the number of values in the set.

The mean is not necessarily equal to any number in the set.

However, it must fall within the range of the numbers in the set.

Find the mean for each set of numbers.

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Find the mean for each set of numbers.

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Solve.

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Step 1

Find the mean of the first 4 weeks.

Step 2

Gina will typically make $340 a week.

There are 52 weeks in a year.

Multiply the mean by 52.

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Solve as directed.

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7. Jena plans to run an average of 6 miles a day. For the first 6 days she runs 3, 8, 8, 0, 4, and 5 miles. How many miles should she run on the seventh day to meet her goal?

8. In the first 8 weeks of school. Students at Pine Elementary read the following numbers of books.

80 85 92 78 80 81 90 96

Based on the average of the first 8 weeks, how many books will they read in a 36-week school year?

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9. Jared set a goal to sell 300 alarm systems in a 60-day period. At the end of the 60 days, he had averaged 4 alarms per day. Did he meet his goal?

10. Explain. Carmel received test scores of 77, 81, 95, and 91. She has 1 more test to take. In order to get an A in the class, she needs an average of 90 on the 5 tests. If the highest score Carmel can earn on the last test is 100, is it possible for her to get an A in the class? Explain your thinking.

HOMEWORK

HOMEWORK

Median and Mode

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There are other typical values that might be more representative of a set of data. The median is the middle value of a set of data. To find the median, sort the data from least to greatest.

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For an odd number of values, the middle number is the median.

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For an even number of values, the median is the mean of the two middle numbers.

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Finding the Median

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Example: Angela has helped 5 dogs onto the examination table. Their weights are 40 lb, 10 lb, 140 lb, 35 lb, and 30 lb. What is the median weight of the dogs?

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Step 1

Sort the numbers numerically from least to greatest.

10 lb 30 lb 35 lb 40 lb 140 lb

Step 2

Choose the middle number from the set.

(If there is an even number of values, find the mean of the two middle values.)

Finding the Mode

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Example: A restaurant offers these prices on complete meals: Fried Chicken - $8.99, Steak - $10.99, Fish - $8.99, Shrimp - $10.99, Lasagna - $8.99, Hamburger - $7.99. What is the mode for these prices?

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Count how many times each value occurs.

$7.99 : 1 time $8.99 : 3 times $10.99 : 2 times

Another typical value is the mode – the value in the set that occurs most often. (If each value occurs only once, there is no mode in the set.)

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Find the median.

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Find the mode.

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Sometimes, one or more data values are very large or very small compared to the other values in the set. These extreme values are called outliers.

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Outliers don’t affect the median as much as they affect the mean.

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Find the mean of the 5 rings.

Find the median of the 5 rings.

Notice in the example above that while the mean may not be a typical value, the median is.

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

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

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Solve.

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9. The following data shows the number of sales made in a month by 8 out of 9 salespeople.

45 34 31 48 37 43 32 42

The 9^th employee made 66 sales in that month. By how much does the mean change when the 9^th value is added?

10. Explain. The data below gives the margin of victory for a high school football team’s games in a season.

3 7 21 14 3 17 30 3

Do you think the mean, median, or mode is the most reliable typical value for the data? Explain your reasoning.

Numbers 9 & 10 are HOMEWORK

Tonight’s homework:

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Page 29, numbers 9 and 10

Page 30, rows 2 and 4