G6 U8 Constructed Response
Name: ________________________________________ Date:_______________
Grade 6 Unit 8 Constructed Response Statistics and Probability TASK 1: Line Plots (MC: 6.SP.1, 6.SP.2, 6.SP.3, 6.SP.4, 6.SP.5; MP: 1, 2, 4, 5, 6, 7, 8) 1. To celebrate this year’s sixth graders on their completion of elementary school, the principal would like to display interesting information about them on a bulletin board in the multi-purpose room. Mrs. Jenkins asked her sixth graders to come up with some statistical questions to resesarch and post on the principal’s bulletin board. These questions were suggested by four of her students. Read each one and decide whether it is a statistical question. If it is, write “yes.” If it is not, rewrite it to be a statistical question.
a. How many years has my best friend attended our school?
b. Do sixth graders like pizza?
c. Have you ever received a certificate of achievement from the principal?
d. How many months old is each sixth grader in our school?
Copyright © Swun Math Grade 6 Unit 8 Constructed Response, Task 1, Page 1
2. After the class determined their statistical questions, they collected data. Lance’s statistical question is, “How many pets has each sixth grader in Mr. Melo’s class had over their lifetime?” His data is displayed in the line plot.
X X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
0
1
2
3
6
7
4 5 Number of Pets
X
8
9
a. How many students are represented in Lance’s data? ________________ b. Describe the shape of Lance’s line plot.
c. What is the range of Lance’s data?
d. Find the measures of center (mean and median) of Lance’s data. Show your work.
Copyright © Swun Math Grade 6 Unit 8 Constructed Response, Task 1, Page 2
3. Jasmine’s statistical question is, “Including this year, how many years has each sixth grader in the after-school program participated in the program?” She interviewed all 19 sixth graders in the program. Her data are displayed in the table, in no particular order. 7 1
2 7
6 6
6 5
3 2
2 1
1 2
Display Jasmine’s data in a line plot.
Copyright © Swun Math Grade 6 Unit 8 Constructed Response, Task 1, Page 3
2 5
1 4
1
Name: ________________________________________ Date:_______________
Grade 6 Unit 8 Constructed Response Statistics and Probability TASK 2: Histograms (MC: 6.SP.1, 6.SP.2, 6.SP.3, 6.SP.4, 6.SP.5; MP: 1, 2, 3, 4, 5, 6, 7, 8) 4. Originally, Snow’s question was, “How many sixth graders have had perfect attendance?” Mrs. Jenkins told her it was not a statistical question. What advice would you give Snow to rewrite the question to make it statistical?
5. With help from her classmates and teacher, Snow rewrote her question to, “How many absences has each sixth grader in Mr. Melo’s class had so far this year?” Her data are displayed in the table, from least to most days absent. 0 5 14 27
0 5 15 29
1 5 16
2 6 17
2 7 18
3 8 19
3 9 20
4 10 22
5 11 25
5 13 26
Why would a histogram be a better choice than a line plot or a box plot to display the data?
Copyright © Swun Math Grade 6 Unit 8 Constructed Response, Task 2, Page 4
6. a. Determine appropriate intervals for Snow’s data, and display the data in a histogram. Snow’s data is displayed again here. 0 5 14 27
0 5 15 29
1 5 16
2 6 17
2 7 18
3 8 19
3 9 20
4 10 22
5 11 25
5 13 26
_____________________
Title: _________________________
__________________________________________
b. What is the range of Snow’s data?
c. Find the measures of center (mean and median) of Snow’s data. Show your work.
Copyright © Swun Math Grade 6 Unit 8 Constructed Response, Task 2, Page 5
d. If you only had Snow’s histogram without her data, could you calculate the measures of variability and center? Explain.
Copyright © Swun Math Grade 6 Unit 8 Constructed Response, Task 2, Page 6
Name: ________________________________________ Date:_______________
Grade 6 Unit 8 Constructed Response Statistics and Probability TASK 3: Box Plots (MC: 6.SP.1, 6.SP.2, 6.SP.3, 6.SP.4, 6.SP.5; MP: 1, 2, 4, 5, 6, 7, 8) 7. Zayed’s statistical question is, “How tall are the sixth graders in our school?” With the help of a parent volunteer, Zayed measured the height of all 62 sixth graders in the school. His data are displayed in the box plot.
Identify the values in the five-number summary and the IQR. Describe what each value means. Value
Meaning
Minimum Q1 Median Q3 Maximum IQR Copyright © Swun Math Grade 6 Unit 8 Constructed Response, Task 3, Page 7
8. Ximena’s statistical question is, “Rounded to the nearest half-hour, how many hours did the girls in Mrs. Jenkin’s class spend doing homework last week?” She interviewed all fifteen of the girls in Mrs. Jenkin’s class. Her data are displayed in the table, from least to most number of hours. .5 5
2.5 5.5
3 6
3 6.5
5 8
5 9
5 9.5
5
a. Calculate the values in the five-number summary and the IQR. Minimum
Q1
Median
Q3
Maximum
b. Display Ximena’s data in a box plot.
Copyright © Swun Math Grade 6 Unit 8 Constructed Response, Task 3, Page 8
IQR
Grade 6 Unit 8 Constructed Response Statistics and Probability TASK 1: Line Plots (MC: 6.SP.1, 6.SP.2, 6.SP.3, 6.SP.4, 6.SP.5; MP: 1, 2, 4, 5, 6, 7, 8) 1. To celebrate this year’s sixth graders on their completion of elementary school, the principal would like to display interesting information about them on a bulletin board in the multi-purpose room. Mrs. Jenkins asked her sixth graders to come up with some statistical questions to resesarch and post on the principal’s bulletin board. These questions were suggested by four of her students. Read each one and decide whether it is a statistical question. If it is, write “yes.” If it is not, rewrite it to be a statistical question.
a. How many years has my best friend attended our school?
b. Do sixth graders like pizza?
c. Have you ever received a certificate of achievement from the principal?
d. How many months old is each sixth grader in our school?
Copyright © Swun Math Grade 6 Unit 8 Constructed Response, Task 1, Page 1
2. After the class determined their statistical questions, they collected data. Lance’s statistical question is, “How many pets has each sixth grader in Mr. Melo’s class had over their lifetime?” His data is displayed in the line plot.
X X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
0
1
2
3
6
7
4 5 Number of Pets
X
8
9
a. How many students are represented in Lance’s data? ________________ b. Describe the shape of Lance’s line plot.
c. What is the range of Lance’s data?
d. Find the measures of center (mean and median) of Lance’s data. Show your work.
Copyright © Swun Math Grade 6 Unit 8 Constructed Response, Task 1, Page 2
3. Jasmine’s statistical question is, “Including this year, how many years has each sixth grader in the after-school program participated in the program?” She interviewed all 19 sixth graders in the program. Her data are displayed in the table, in no particular order. 7 1
2 7
6 6
6 5
3 2
2 1
1 2
Display Jasmine’s data in a line plot.
Copyright © Swun Math Grade 6 Unit 8 Constructed Response, Task 1, Page 3
2 5
1 4
1
Name: ________________________________________ Date:_______________
Grade 6 Unit 8 Constructed Response Statistics and Probability TASK 2: Histograms (MC: 6.SP.1, 6.SP.2, 6.SP.3, 6.SP.4, 6.SP.5; MP: 1, 2, 3, 4, 5, 6, 7, 8) 4. Originally, Snow’s question was, “How many sixth graders have had perfect attendance?” Mrs. Jenkins told her it was not a statistical question. What advice would you give Snow to rewrite the question to make it statistical?
5. With help from her classmates and teacher, Snow rewrote her question to, “How many absences has each sixth grader in Mr. Melo’s class had so far this year?” Her data are displayed in the table, from least to most days absent. 0 5 14 27
0 5 15 29
1 5 16
2 6 17
2 7 18
3 8 19
3 9 20
4 10 22
5 11 25
5 13 26
Why would a histogram be a better choice than a line plot or a box plot to display the data?
Copyright © Swun Math Grade 6 Unit 8 Constructed Response, Task 2, Page 4
6. a. Determine appropriate intervals for Snow’s data, and display the data in a histogram. Snow’s data is displayed again here. 0 5 14 27
0 5 15 29
1 5 16
2 6 17
2 7 18
3 8 19
3 9 20
4 10 22
5 11 25
5 13 26
_____________________
Title: _________________________
__________________________________________
b. What is the range of Snow’s data?
c. Find the measures of center (mean and median) of Snow’s data. Show your work.
Copyright © Swun Math Grade 6 Unit 8 Constructed Response, Task 2, Page 5
d. If you only had Snow’s histogram without her data, could you calculate the measures of variability and center? Explain.
Copyright © Swun Math Grade 6 Unit 8 Constructed Response, Task 2, Page 6
Name: ________________________________________ Date:_______________
Grade 6 Unit 8 Constructed Response Statistics and Probability TASK 3: Box Plots (MC: 6.SP.1, 6.SP.2, 6.SP.3, 6.SP.4, 6.SP.5; MP: 1, 2, 4, 5, 6, 7, 8) 7. Zayed’s statistical question is, “How tall are the sixth graders in our school?” With the help of a parent volunteer, Zayed measured the height of all 62 sixth graders in the school. His data are displayed in the box plot.
Identify the values in the five-number summary and the IQR. Describe what each value means. Value
Meaning
Minimum Q1 Median Q3 Maximum IQR Copyright © Swun Math Grade 6 Unit 8 Constructed Response, Task 3, Page 7
8. Ximena’s statistical question is, “Rounded to the nearest half-hour, how many hours did the girls in Mrs. Jenkin’s class spend doing homework last week?” She interviewed all fifteen of the girls in Mrs. Jenkin’s class. Her data are displayed in the table, from least to most number of hours. .5 5
2.5 5.5
3 6
3 6.5
5 8
5 9
5 9.5
5
a. Calculate the values in the five-number summary and the IQR. Minimum
Q1
Median
Q3
Maximum
b. Display Ximena’s data in a box plot.
Copyright © Swun Math Grade 6 Unit 8 Constructed Response, Task 3, Page 8
IQR
