Data About Us Investigation 2 Homework Packet DUE: Thursday, June 8

Name: ____________________________________________ Hour: ___________________

Data About Us Investigation 2.1 Homework-Mean ANSWER KEY

RECOMMENDED DATE TO COMPLETE: Wednesday, May 21

1. 5-Order the data from least to greatest. The median is the value that separates the data into two parts with an equal number of data values in each part. For 17 students, the median is located at the 9 th data value.

2. Yes, 4 students each ate five candy bars. This is possible because the median is located using the data values3. 4-You add the data values together and divide by the number of data values. The mean tells you the value that

each data item would have if there were all the same value4. No, there are no marks on the line plot above four which means there are no students in the data set that ate

four candy bars. This is possible because there are students who at more than four candy bars and students who at less than four candy bars to balance each other.

5. Either the mean or median would work.

Data About Us Investigation 2.2 Homework Day 1-Comparing Distributions with the Same Mean ANSWER KEY

RECOMMENDED DATE TO COMPLETE: Thursday, May 22

1. 48 people2. For the graph: Answers will vary mean: 6 Median: answers will vary3. For the graph: Answers will vary mean: 6 Median: Answers will vary4. Depending on your data values, the median may or may not be the same value5. The means should be the same value (6)6. Yes, as long as the data adds up to the same sum and has the same number of data points you will have the

same mean, but the medians may or may not be the same in this situation.

Data About Us Investigation 2.2 Homework Day 2- Comparing Distributions with the Same Mean ANSWER KEY

RECOMMENDED DATE TO COMPLETE: Tuesday, May 30

1. Median: 3.5 Mode: 1 Range: 142. Answers may vary3. Mean: 4.254. All the values are different. The mode is the smallest of the three.5. Mean: 45 Median: 30.5 Mode: 12 Range: 856. Mean: approx. 43.2 Median: 43.5 Mode: 65 Range 447. Mean: Approx. 42.8 Median: 44 Mode: 61 Range: 50

Data About Us Investigation 2.3 Homework Day 1-Mean or Median ANSWER KEY

RECOMMENDED DATE TO COMPLETE: Wednesday, May 31

1. Median: 67 Mean: 66.482. Either3. Median: 65 Mean: 64.8

4. Mr. Sanson is skewed to the left so the mean and median are higher, while Ms. Kwei is skewed to the right so her’s is lower

5. Sdf6. Median: 66.5 Mean: 65.77. The mean lowered. The majority of the new points were on the low end of the scores8. The median lowered. The position of the median changed. Since the four of the new five points were lowered

than the previous median, the position of the median shifted down.9. Answers will vary

Data About Us Investigation 2.3 Homework Day 2-Mean or Median ANSWER KEY

RECOMMENDED DATE TO COMPLETE: Friday, June 2

1. Median: 64 Mean 64.72. Either3. Median: 74 mean: 72.54. Field hockey heights are skewed right so the mean and median for that data is lower. The basketball heights are

skewed left which impacts their results.5. Median: 66 Mean: 67.276. The mean is higher because the majority of the new data were on the high end of the heights.7. The position of the median shifted and the median value rose. The position of the median shifted to the right

because the majority of the new values were to the right of the old median.8. Answers will vary.

Data About Us Investigation 2.4 Homework-Numerical or Categorical Data ANSWER KEY

RECOMMENDED DATE TO COMPLETE: Tuesday, June 6

1. Categorical-Favorite Candy Numerical-# of candy bars brought to school2. 673. 84. 55. You cannot tell this, you can only tell how many candy bars students brought to school, not what kind they were6. M&M’s7. You cannot tell the mean with categorical data8. Median-5 Range-8

Data About Us Investigation 2.1 Homework-Mean

The line plot at right shows the number of candy bars eaten by students after going trick-or-treating on Halloween. Use the data to answer the questions.

1. What is the median number of candy bars eaten by the 17 students?

Explain how you found the median

What does the median tell you?

2. Did any of the 17 students eat the median number of candy bars? Explain why this is possible

3. What is the mean number of candy bars eaten per student for the 17 students?

Explain how you found the mean

What does the mean tell you?

4. Did any of the 17 students eat the mean number of candy bars? Explain why this is possible

5. Use either the mean or the median to answer this question: “What is the typical number of candy bars eaten for this data?” Explain why the summary statistic you picked makes the most sense for what is typical

X X

Data About Us Investigation 2.2 Homework Day 1-Comparing Distributions with the Same Mean

Directions: For each problem below, the MEAN NUMBER of people in EIGHT HOUSEHOLDS is SIX PEOPLE

1. What is the total number of people in the eight households? Explain how you got your answer

2. Split up the total number of people from Problem 1 into the eight households below.

Household 1 Household 2 Household 3 Household 4 Household 5 Household 6 Household 7 Household 8

____ # of people

____ # of people

____ # of people

____ # of people

____ # of people

____ # of people

____ # of people

____ # of people

What is the mean of your data? What is the median of your data?

3. Split up the total number of people from Problem 1 into the eight households below. This MUST be different than your table in Problem 2.

Household 1 Household 2 Household 3 Household 4 Household 5 Household 6 Household 7 Household 8

____ # of people

____ # of people

____ # of people

____ # of people

____ # of people

____ # of people

____ # of people

____ # of people

What is the mean of your data? What is the median of your data?

4. Are the medians the same for the two sets of data from Problems 2 and 3?

5. Are the means the same for the two sets of data from Problems 2 and 3?

6. Is it possible to have two sets of distributions that have the same mean but not the same medians? Explain your reasoning

Data About Us Investigation 2.2 Homework Day 2- Comparing Distributions with the Same Mean

The dot plot at right shows the number of gold medals won by the top 20 medal winning countries in 2010.

1. Identify the median, mode, and range of the distribution.

Median: ____________ Mode: ______________ Range: ______________

2. Think about viewing the distribution on a balance. Make an estimate or guess about where the mean would be located on the line plot. Explain why you picked the number you did

3. Identify the exact mean of the distribution.

How does this compare with your estimate or guess?

4. Compare the three measures of center-mean, median and mode. How are they the same or different? EXPLAIN

In the problems below, find the mean, median, mode and range. Show all work!!!5.

6.

7.

Data About Us Investigation 2.3 Homework Day 1-Mean or Median

The dot plots below show the data of test scores from two different teachers

1. Compute the median and mean for Mr. Sanson’s class. SHOW ALL WORK

2. Which measure of center would you use to answer the question: “What is the typical score for a student in Mr. Sanson’s class? Explain why you chose the measure of center you used.

3. Compute the median and mean for Mrs. Kwei’s class. SHOW ALL WORK

4. Describe how the distribution of the data influences the location of the mean and median for BOTH classes.

5. Mr. Sanson finds that he missed recording some test scores. Add the following scores to his dot plot at the top of this page: 71, 59, 59, 59, 60

6. Calculate Mr. Sanson’s NEW mean and median. SHOW ALL WORK

7. What happened to the mean after the new data points were included?

8. What happened to the median when the new data points were included?

9. Would you keep your answer for question 2 after adding the new data points? Explain your reasoning.

Data About Us Investigation 2.3 Homework Day 2-Mean or Median

The dot plots below show the height of field hockey and basketball players

1. Compute the median and mean for the field hockey players. SHOW ALL WORK

2. Which measure of center would you use to answer the question: “What is the typical score for a field hockey player? Explain why you chose the measure of center you used.

3. Compute the median and mean for the basketball players. SHOW ALL WORK

4. Describe how the distribution of the data influences the location of the mean and median for BOTH groups.

5. The field hockey team recruits the basketball team to play for them. Calculate the NEW mean and median of the field hockey team. SHOW ALL WORK

6. What happened to the mean after the new data points were included?

7. What happened to the median when the new data points were included?

8. Would you keep your answer for question 2 after adding the new data points? Explain your reasoning.

Data About Us Investigation 2.4 Homework-Numerical or Categorical Data

Use the two graphs to answer the following questions.

Decide whether each question can be answered using the data from graphs. If so, give the answer and explain how you got it. If not, explain why you are unable to answer the question

1. Which graph shows categorical data? Which graph shows numerical data?

2. What is the total number of candy bars students have?

3. What is the greatest number of candy bars a student has?

4. How many students chose M&M’s as their favorite candy?

5. How many students brought M&M’s to school?

6. What is the mode of the favorite kind of candy?

What is the mean of the favorite kind of candy?

7. What is the median amount of candy students have? The range of the amount of candy?