11 – N1
Today, you will be able to:
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STATISTICS –
MEASURES OF CENTRAL TENDENCY:
MEAN –
MEDIAN -
MODE -
1. The table below shows the number of hits Marcus made for his team.
Team Played / HitsBadgers / 3
Hornets / 8
Bulldogs / 5
Vikings / 2
Rangers / 3
Panthers / 9
What is the mean?
What is the median?
What is the mode?
2. Isaiah collects data from two different companies, each with four employees. The results of the study, based on each worker’s age and salary, are listed in the tables below.
Which statement is true about this data?
(1) The median salaries in both companies are greater than $37,000.
(2) The mean salary in company 1 is greater than the mean salary in company 2.
(3) The median salary in company 1 is less than the median salary in company 2.
(4) The mean age of workers at company 1 is greater than the mean age of workers at company 2.
3. The two sets of data below represent the number of runs scored by two different youth baseball teams over the course of a season.
Team A: 4, 8, 5, 12, 3, 9, 5, 2
Team B: 5, 9, 11, 4, 6, 11, 2, 7
Which set of statements about the mean and median is true?
(1) mean A < mean B ; median A > median B
(2) mean A > mean B ; median A < median B
(3) mean A < mean B ; median A < median B
(4) mean A > mean B ; median A > median B
4. The table below shows the annual salaries for the 24 members of a professional sports team in terms of millions of dollars.
The team signs an additional player to a contract worth 10 million dollars per year. Which statement about the median and mean is true?
(1) Both will increase.
(2) Only the median will increase.
(3) Only the mean will increase.
(4) Neither will change.
DOT PLOT –
5. The heights, in centimeters, for 12 plants are listed below:
17, 18, 19, 17, 16, 19, 20, 22, 17, 17, 18, 19
Using an appropriate scale, create a dot plot for the above data.
11 – N2
Today, you will be able to:
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HISTOGRAM -
1. The following histogram shows the ages of people that view a blog in an hour:
How many people in the 28-32 year old range viewed the blog?
How many total people viewed the blog?
How many people in the 33-42 year old range viewed the blog?
Is the distribution of data skewed or symmetric?
2. The following histogram represents the mileage of 38 different types of vehicles.
Is the distribution of the data skewed or symmetric?
What is the median mileage of the vehicles?
What percentage, to the nearest percent, of the vehicles has gas mileages that are 16-25 miles per gallon?
What percentage of the vehicles has gas mileages that are greater than 25 miles per gallon?
3. The test scores for 18 students in Ms. Mosher’s class are listed below:
86, 81, 79, 71, 58, 87, 52, 71, 87, 87, 93, 64, 94, 81, 76, 98, 94, 68
Complete the frequency table.
Draw and label a frequency histogram on the grid below.
11 – N3
Today, you will be able to:
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BOX PLOT -
LOWER EXTREME –
FIRST QUARTILE –
MEDIAN –
THIRD QUARTILE –
UPPER EXTREME –
1. Robin collected data on the number of hours she watched television on Sunday through Thursday nights for a period of 3 weeks. The data is shown in the table below.
Using an appropriate scale on the number line below, construct a box plot for the 15 values.
2. The box plot below represents the ages of 12 people.
What percentage of these people is age 15 or older?
3. Construct a box plot for the 12 quiz scores below.
67 78 60 95 93 55 70 87 85 64 82 50
Determine the number of scores that lie above the 75th percentile.
4. Based on the box plot below, which statement is false?
(A) The median is 7.
(B) The first quartile is 4.
(C) The upper extreme is 11.
(D) The third quartile is 11.
11 – N4
Today, you will be able to:
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MEASURES OF SPREAD:
RANGE:
1. The times in minutes it took Olivia to walk to school each day this week are 18, 15, 15, 12, and 14. Find the range.
INTERQUARTILE RANGE:
2. Given the following box plot,
What is the range?
What is the interquartile range?
OUTLIER:
3. Quinn took eight math quizzes this quarter. His grades are as follows:
88, 89, 94, 90, 40, 91, 82, 88
Identify any outliers in the data.
STANDARD DEVIATION:
4. Ed surveys his classmates to find out how many electronic gadgets each person has in their home.
9, 10, 11, 6, 9, 11, 9, 8, 11, 8, 7, 9, 11, 11, 5
Find the mean.
Find the standard deviation, to the nearest integer.
How many classmates lie within one standard deviation of the mean?
5. Caleb tracked his calorie intake for a week.
1950, 2000, 2100, 2000, 1900, 2100, 2000
Find the standard deviation, to the nearest calorie.
Interpret the meaning of this standard deviation.
6. Miguel plays golf at Table Rock and Blackhawk golf courses.
Table Rock scores: 81, 78, 79, 82, 80, 80, 79, 83, 81, 80
Blackhawk scores: 84, 79, 86, 78, 77, 88, 85, 79, 87, 86
Find the mean score at Table Rock.
Find the standard deviation, to the nearest tenth, at Table Rock.
Find the mean score at Blackhawk.
Find the standard deviation, to the nearest tenth, at Blackhawk.
At which golf course does Miguel typically play better?
What do the standard deviations for the golf scores at the different golf courses imply about Miguel’s play?
11 – N5
Today, you will be able to:
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When researchers collect data, they often ask more than one question.
Comparing the results of those questions can reveal relationships among the data.
TWO-WAY FREQUENCY TABLE:
1. The two-way frequency table shows the results of a survey in which ninth-grade students were asked which foreign language class they most wanted to take next semester. Complete the table.
Spanish / French / Italian / TotalBoys / 80 / 30 / 10
Girls / 30 / 20 / 30
Total
MARGINAL FREQUENCIES:
What percent of ninth-grade students want to take Spanish next semester?
CONDITIONAL FREQUENCIES:
What percent of girls want to take Spanish next semester?
2. The two-way frequency table below represents the travel history of the seniors in the local Travel Club.
Men / Women / TotalAruba / 14 / 19 / 33
Jamaica / 17 / 18 / 35
Canada / 32 / 22 / 54
Spain / 4 / 11 / 15
Total / 67 / 70 / 137
What approximate percentage of seniors has traveled to Canada?
(1) 16% (2) 23% (3) 39% (4) 48%
What approximate percentage of men has traveled to Canada?
1) 16% (2) 23% (3) 39% (4) 48%
3. The school newspaper surveyed the student body for an article about club membership. The table below shows the number of students in each grade level who belong to one or more clubs.
If there are 180 students in ninth grade, what percentage of the ninth grade students belong to more than one club?
4. A statistics class surveyed some students during one lunch period to obtain opinions about television programming preferences. The results of the survey are summarized in the table below.
Based on the sample, predict how many of the school’s 351 males would prefer comedy. Justify your answer.
5. Complete the two-way frequency table below:
Prefer McDonald’s / Prefer Burger King / TotalAdults / 18 / 68
Children / 52
Total / 100
Round all percentages to the nearest percent.
a) What percentage of the people surveyed were children?
b) What percentage of the children surveyed prefer Burger King?
11 – N6
Today, you will be able to:
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______variables depend on ______variables.
The ______contains values of the independent variable.
The ______contains values of the dependent variable.
When you study the relationship between two variables, you are working with
______.
This data can be written as a set of ordered pairs, ( x, y ) and graphed on a coordinate plane.
This kind of graph is called a ______.
The LINE OF BEST FIT can also be called the
______.
1. For a health project, Dylan recorded the number of grams of fat and the number of calories in lunch entrees sold at his favorite diner.
Fat Grams, x / 4 / 6 / 8 / 8 / 10 / 12 / 14 / 16 / 18 / 18 / 20Calories, y / 300 / 250 / 300 / 400 / 450 / 400 / 350 / 500 / 400 / 500 / 500
Create a scatter plot for the data.
Draw a line of best fit.
Write the equation of the least-squares line.
Based on the line of best fit, how many calories could be expected in a meal with 11 fat grams?
2. Mrs. Milligan took a survey of her algebra students the day of their math test. She asked them how many hours of sleep they got the night before the test and she compared that to their test scores. The data is shown below.
Hours of Sleep / 7 / 9 / 3 / 7 / 9 / 4 / 6 / 4 / 8 / 9 / 5 / 7 / 6Test Scores / 96 / 91 / 70 / 90 / 100 / 75 / 92 / 68 / 95 / 95 / 70 / 85 / 84
Create a scatter plot for the data.
Draw a line of best fit.
Write the equation of the least-s quares line.
Based on a line of best fit, what test score could be expected from someone who got 2 hours of sleep?
11 – N7
Today, you will be able to:
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1. Mrs. Milligan took a survey of her algebra students the day of their math test. She asked them how many hours of sleep they got the night before the test and she compared that to their test scores. The data is shown below.
Hours of Sleep / 7 / 9 / 3 / 7 / 9 / 4 / 6 / 4 / 8 / 9 / 5 / 7 / 6Test Scores / 96 / 91 / 70 / 90 / 100 / 75 / 92 / 68 / 95 / 95 / 70 / 85 / 84
Yesterday, we graphed a scatter plot for this data and we wrote an equation for the line of best fit, or the least squares line.
The equation for the least squares line was ______.
This equation is an approximation for the line of best fit. Today, we will use the graphing calculator to find an exact equation for the line of best fit.
This is called a ______.
Write the LINEAR REGRESSION equation for this set of data, rounding all values to the nearest hundredth.
2. The data table below shows water temperatures at various depths in an ocean.
Write the linear regression equation for this set of data, rounding all values to the nearest hundredth.
3. A cup of soup is left on a countertop to cool. The table below gives the temperatures, in degrees Fahrenheit, of the soup recorded over a 10-minute period.
Write an EXPONENTIAL REGRESSION equation for the data, rounding all values to the nearest thousandth.
4. The mid-September statewide average gas process, in dollars per gallon, for different years are given in the table below.
Year / 2001 / 2002 / 2003 / 2004Price Per Gallon / 1.345 / 1.408 / 1.537 / 1.58
Write a linear regression equation for this set of data when is used to represent the year 2001 and y is used to represent the price per gallon.
INTERPOLATION:
EXTRAPOLATION:
5. The accompanying table shows the percent of the adult population that married before age 25 in several different years.
Using to represent the year 1971, find the linear regression equation. Round the regression coefficients to the nearest hundredth.
Using the equation found above, estimate the percent of the adult population in the year 2017 that will marry before age 25. Round to the nearest tenth of a percent.
6. A population of single-celled organisms was grown in a Petri dish over a period of 16 hours. The number of organisms at a given time is recorded in the table below.
Determine the exponential regression equation model for these data, rounding all values to the nearest thousandth.
Using this equation, approximate the number of single-celled organisms, to the nearest whole number, there were at the end of the 9th hour.
11 – N8
Today, you will be able to:
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CORRELATION:
Positive Correlation Negative Correlation No Correlation