Day - Tredyffrin/Easttown School District



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|DAY |TOPIC(S) |ASSIGNMENT |

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|1 |Measures of Center and |HW A |

| |The 5-Number Summary | |

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|2 |Measures of Spread |HW B |

| |Standard Deviation | |

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|3 |Analyzing One Variable Graphs: Histograms, Boxplots and Stem-plots |HW C |

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|4 |Categorical Variables and |HW D |

| |Two-Way Tables | |

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|5 |Scatterplots and Regression |HW E |

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|6 |Review |Review Packet |

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|7 |Unit 16 Test | |

Final Exam Information:

✓ Math Exam: Wednesday, June 15th

✓ You may bring a one page study guide (front and back) to the exam.

✓ You must have your own calculator for the exam.

✓ No exams will be given early!

Geo X Name _____________________________

Unit 16 Date ______________________________

Homework Worksheet A

Measures of Center and the 5 – Number Summary

The following data was collected from an introductory Statistics class. The survey question: “How much money is currently in your wallet, to the nearest dollar?” yielded the following set of data (in dollars).

10 2 15 2 7 7 53

20 30 2 46 25 102

1. Find the mean [pic]. (You may use your calculator.) 2. Find the mode.

Mean = ___________ Mode = _____________

3. Write the numbers in order below. Check that you have all 13 numbers and double check that you have them in order. You can cross them off on the table above as you use each number.

4. Using your list above, find the median. Is it one number in the list, or the average of 2 numbers in the list? How do you know?

Median = ___________ Explain:

5. Are the mean and median close to each other for this data set? If not, explain why not.

6. Using the list above, find Q1 and Q3. Are these numbers in the set, or the averages of numbers in the set? Explain.

Q1 = ___________ Q3 = ____________ Explain:

[pic]

7. Which measure of center, the mean or the median, would be more appropriate for describing the typical amount of oil recovered? Explain your answer.

8. Find the 5-Number summary. Show your work above (in the list) by dividing the data into quartiles (the numbers are already in order for you.)

Min = ________ Q1 = ________ Med = _________ Q3 = ________ Max = _______

9. Multiple Choice:

[pic]

Geo X Name _____________________________

Unit 16 Date ______________________________

Homework Worksheet B

Measures of Spread: Standard Deviation

The following heights were recorded for 7 trapeze artists: (in cm)

175 182 190 180 192 186 190

1. Write the numbers in order:

2. Find the range. Show your work.

3. Find the IQR. Show your work.

4. Find the mean. (Use your calculator) [pic] = ______

5. Find the standard deviation using the table.

|[pic] heights |[pic] |[pic] |

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Total the last column =

Divide the total by the number of numbers (which is 7) = This is the variance.

Find the square root of the variance.

Standard Deviation = ______________

The standard deviation tells us that on average, the trapeze artists height vary ____________ cm from the average height.

6. Which of the following 2 data sets has the largest standard deviation? Why?

a. 65, 75, 85, 95 b. 110, 112, 114, 116

Multiple Choice:

7.

8.

9.

Geo X Name _____________________________

Unit 16 Date ______________________________

Homework Worksheet C

Analyzing One Variable Graphs (Histograms, Boxplots and Stem-plots)

1. In the northern U.S., schools are often

closed during severe snowstorms.

These missed days must be made up

at the end of the school year. The

following histogram shows the number

of days missed per year for a particular

school district using data from the past

75 years.

Fill in the blanks below.

a. How many of the years

had 4 snow days? ____________

b. How many years had no snow days? __________

c. The most number of school days missed in a particular year was _________ days.

d. The most common number of snow days per year is _________.

e. The shape of the histogram is (circle one)

Skewed Right Skewed Left Roughly Symmetric Uniform

2. The following boxplot displays the number

of goals scored per game by The Rockets U10

soccer team during the fall season.

Number of Goals Scored per Game

a. The range of goals scored is __________.

b. The IQR of goals scored is _________.

c. The median games scored is _________.

d. The shape of the boxplot is (circle one)

Skewed Right Skewed Left Roughly Symmetric Uniform

e. If the team played 8 games, create a data set of 8 values below that would produce the boxplot above. Show the 5-Number summary in your 8 values and be sure they match the values in the boxplot.

3. A substitute teacher travels to different buildings every day. One substitute teacher recorded the number of minutes it took her to get to her assigned school each morning. The data is given in the stem-plot below.

(Time to school in minutes)

a. From the stem-plot, find the 5-Number

Summary values. Show where the values

are located in the graph as well.

Min = Q1 = Med =

Q3 = Max =

b. From the 5-Number Summary, sketch a boxplot of the data below. The axis has been drawn for you.

20 30 40 50 60 70

Time to school in minutes

c. Is the distribution of travel times to school skewed right, skewed left or roughly symmetric? Explain how you know.

4. Multiple Choice:

[pic]

Geo X Name _____________________________

Unit 16 Date ______________________________

Homework Worksheet D

Categorical Variables and Two-Way Tables

3.

4.

a. Find the total number of people surveyed under 30.

b. Find the total number of people surveyed over 30.

c. Find the percentage of people under 30 who use more texts.

d. Find the percentage of people under 30 who make more phone calls.

e. Find the percentage of people over 30 who use more texts.

f. Find the percentage of people over 30 who make more phone calls.

g. Use the bar graph below to segment each bar into the percent who use more texts

(lower part of bar) and the percent who make more calls. Label each segment.

h. Write a few sentences describing the relationship between age and method of communication (texts or phone calls.)

Geo X Name _____________________________

Unit 16 Date ______________________________

Homework Worksheet E

Scatterplots and Regression

Multiple Choice:

[pic]

[pic]

4.

5. Child researchers studying he growth patterns of children collect data on the heights of fathers and sons. The correlation between the father’s height and the son’s height is most likely to be

[pic]

The equation of the least squares regression line for average vehicles per day and hours of delay

per year is y = 0.07822x – 3629. The graph of the LSRL is drawn for you.

6. If an average of 280,000 vehicles per day are on the highway in a particular area, approximately how many hours of delay were reported? Circle this point on the scatterplot.

7. Given 280,000 vehicles per day on the highway, estimate the hours of delay predicted by the least squares regression line on the graph above. Draw a point on the line for this ordered pair.

8. What is the difference between the actual hours of delay (question 6) and the predicted hours of delay (question 7) for the highway with an average of 280,000 vehicles per day?

9. Does the least squares regression line over-estimate or under-estimate the hours of delay for an average of 280,000 vehicles? Explain how you know.

10. Which of the following could be the value of r, the correlation coefficient for the relationship between the average vehicles per day and the hours of delay? (Circle one.)

r = -0.60 r = 0.00 r = 0.30 r = 0.70 r = 1.00

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