7th Grade Math ยท Unit 1
Match a conclusion to the histogram in front of you.
Describe this distribution
Say where the data cluster, which interval is tallest, or what is typical.
Use the group that was measured. Do not switch to a different group.
A tie is not one peak
Call a bar the tallest only when it is the unique tallest.
If two bars have the same height, do not call one of them the only peak.
Do not invent a cause
A tall bar says where the counts are. It does not say why.
Traffic, weather, practice, and food can be guesses. The histogram does not prove them.
True or false. A tie is not a single tallest bar.
These are 15 bus rides to one school.
True or false: The tallest bar is 6 to 10.
Call a bar the tallest only when its count is greater than every other bar.
The bar for 6 to 10 has height 6.
Every other bar is shorter.
The statement is true.
Answer: True. 6 to 10 is the only tallest bar, with 6.
These are tomato counts for 16 plants in one garden.
True or false: The tallest bar is 10 to 14.
Call a bar the tallest only when its count is greater than every other bar.
10 to 14 and 15 to 19 are tied, each with 4. Do not call one of them the only peak.
The statement is false.
Answer: False. 10 to 14 and 15 to 19 are tied, each with 4. Do not call one of them the only peak.
These are 18 practice sessions for one band.
True or false: The tallest bar is 30 to 39.
Call a bar the tallest only when its count is greater than every other bar.
The bar for 30 to 39 has height 6.
Every other bar is shorter.
The statement is true.
Answer: True. 30 to 39 is the only tallest bar, with 6.
These are lunch times for 16 students in one class.
True or false: The tallest bar is 15 to 19.
Call a bar the tallest only when its count is greater than every other bar.
5 to 9, 10 to 14, 15 to 19, and 20 to 24 are tied, each with 4. Do not call one of them the only peak.
The statement is false.
Answer: False. 5 to 9, 10 to 14, 15 to 19, and 20 to 24 are tied, each with 4. Do not call one of them the only peak.
These are noon temperatures for 18 days at the school garden.
True or false: The tallest bar is 70 to 74.
Call a bar the tallest only when its count is greater than every other bar.
The bar for 70 to 74 has height 5.
Every other bar is shorter.
The statement is true.
Answer: True. 70 to 74 is the only tallest bar, with 5.
These are points for 15 players on this team.
True or false: There is no single tallest bar.
A single tallest bar has to be the only bar at that height.
0 to 4, 5 to 9, and 10 to 14 are tied, each with 5.
The statement is true.
Answer: True. 0 to 4, 5 to 9, and 10 to 14 are tied, each with 5.
These are pages read by 18 students in one reading group.
True or false: The tallest bar is 30 to 39.
Call a bar the tallest only when its count is greater than every other bar.
The bar for 30 to 39 has height 7.
Every other bar is shorter.
The statement is true.
Answer: True. 30 to 39 is the only tallest bar, with 7.
Use the same 15 bus rides to one school.
True or false: The tallest bar is 0 to 5.
Call a bar the tallest only when its count is greater than every other bar.
The only tallest bar is 6 to 10, with 6. 0 to 5 has 1.
The statement is false.
Answer: False. The only tallest bar is 6 to 10, with 6. 0 to 5 has 1.
Use the same 18 temperatures at the school garden.
True or false: The tallest bar is 60 to 64.
Call a bar the tallest only when its count is greater than every other bar.
The only tallest bar is 70 to 74, with 5. 60 to 64 has 4.
The statement is false.
Answer: False. The only tallest bar is 70 to 74, with 5. 60 to 64 has 4.
Use the same 18 band practice sessions.
True or false: The tallest bar is 20 to 29.
Call a bar the tallest only when its count is greater than every other bar.
The only tallest bar is 30 to 39, with 6. 20 to 29 has 5.
The statement is false.
Answer: False. The only tallest bar is 30 to 39, with 6. 20 to 29 has 5.
Use the same 16 tomato plants in one garden.
True or false: There is no single tallest bar.
A single tallest bar has to be the only bar at that height.
10 to 14 and 15 to 19 are tied, each with 4.
The statement is true.
Answer: True. 10 to 14 and 15 to 19 are tied, each with 4.
Pick the sentence that matches this graph.
The graph is only these bus rides to one school.
Which sentence does the histogram support?
A. The most common interval is 6 to 10, with 6 rides.
B. The rides are long because the traffic lights are slow.
A conclusion must match the counts. Do not invent a cause, and do not describe a different group.
Supported: The most common interval is 6 to 10, with 6 rides.
Not supported: The rides are long because the traffic lights are slow.
Choose A.
Answer: A. The most common interval is 6 to 10, with 6 rides.
The graph is only this garden.
Which sentence does the histogram support?
A. The fertilizer caused the plants to produce more tomatoes.
B. 10 to 14 and 15 to 19 are tied for the most, with 4 plants each.
A conclusion must match the counts. Do not invent a cause, and do not describe a different group.
Supported: 10 to 14 and 15 to 19 are tied for the most, with 4 plants each.
Not supported: The fertilizer caused the plants to produce more tomatoes.
Choose B.
Answer: B. 10 to 14 and 15 to 19 are tied for the most, with 4 plants each.
The graph is only this band.
Which sentence does the histogram support?
A. The most common interval is 30 to 39, with 6 sessions.
B. Every band in the city practices for the same number of minutes.
A conclusion must match the counts. Do not invent a cause, and do not describe a different group.
Supported: The most common interval is 30 to 39, with 6 sessions.
Not supported: Every band in the city practices for the same number of minutes.
Choose A.
Answer: A. The most common interval is 30 to 39, with 6 sessions.
The graph is only this class.
Which sentence does the histogram support?
A. The cafeteria ran out of food, so the times came out equal.
B. Every interval has 4 students, so there is no single peak.
A conclusion must match the counts. Do not invent a cause, and do not describe a different group.
Supported: Every interval has 4 students, so there is no single peak.
Not supported: The cafeteria ran out of food, so the times came out equal.
Choose B.
Answer: B. Every interval has 4 students, so there is no single peak.
The graph is only these days at the school garden.
Which sentence does the histogram support?
A. The most common interval is 70 to 74, with 5 days.
B. The hot days caused the plants to wilt.
A conclusion must match the counts. Do not invent a cause, and do not describe a different group.
Supported: The most common interval is 70 to 74, with 5 days.
Not supported: The hot days caused the plants to wilt.
Choose A.
Answer: A. The most common interval is 70 to 74, with 5 days.
The graph is only this team.
Which sentence does the histogram support?
A. The new drill caused the points to spread out evenly.
B. Every interval has 5 players, so there is no single peak.
A conclusion must match the counts. Do not invent a cause, and do not describe a different group.
Supported: Every interval has 5 players, so there is no single peak.
Not supported: The new drill caused the points to spread out evenly.
Choose B.
Answer: B. Every interval has 5 players, so there is no single peak.
The graph is only this reading group.
Which sentence does the histogram support?
A. The most common interval is 30 to 39, with 7 students.
B. Reading more pages causes higher grades.
A conclusion must match the counts. Do not invent a cause, and do not describe a different group.
Supported: The most common interval is 30 to 39, with 7 students.
Not supported: Reading more pages causes higher grades.
Choose A.
Answer: A. The most common interval is 30 to 39, with 7 students.
Stay with these bus rides to one school.
Which sentence does the histogram support?
A. Every rider in the city has a short ride.
B. The interval 21 to 25 has 1 rides.
A conclusion must match the counts. Do not invent a cause, and do not describe a different group.
Supported: The interval 21 to 25 has 1 rides.
Not supported: Every rider in the city has a short ride.
Choose B.
Answer: B. The interval 21 to 25 has 1 rides.
Stay with this garden.
Which sentence does the histogram support?
A. 15 to 19 has more plants than 0 to 4. 15 to 19 has 4 and 0 to 4 has 2.
B. The garden across town has the same tomato counts.
A conclusion must match the counts. Do not invent a cause, and do not describe a different group.
Supported: 15 to 19 has more plants than 0 to 4. 15 to 19 has 4 and 0 to 4 has 2.
Not supported: The garden across town has the same tomato counts.
Choose A.
Answer: A. 15 to 19 has more plants than 0 to 4. 15 to 19 has 4 and 0 to 4 has 2.
Stay with this band.
Which sentence does the histogram support?
A. Longer practice caused the band to play better.
B. 30 to 39 has more sessions than 40 to 49. 30 to 39 has 6 and 40 to 49 has 3.
A conclusion must match the counts. Do not invent a cause, and do not describe a different group.
Supported: 30 to 39 has more sessions than 40 to 49. 30 to 39 has 6 and 40 to 49 has 3.
Not supported: Longer practice caused the band to play better.
Choose B.
Answer: B. 30 to 39 has more sessions than 40 to 49. 30 to 39 has 6 and 40 to 49 has 3.
Stay with these days at the school garden.
Which sentence does the histogram support?
A. 70 to 74 has more days than 80 to 84. 70 to 74 has 5 and 80 to 84 has 1.
B. The town never gets hotter than these days.
A conclusion must match the counts. Do not invent a cause, and do not describe a different group.
Supported: 70 to 74 has more days than 80 to 84. 70 to 74 has 5 and 80 to 84 has 1.
Not supported: The town never gets hotter than these days.
Choose A.
Answer: A. 70 to 74 has more days than 80 to 84. 70 to 74 has 5 and 80 to 84 has 1.
Label one supported observation and one conclusion that goes too far.
Use the bus rides to one school.
Write one observation the histogram supports, and one conclusion that goes too far.
Supported: The most common interval is 6 to 10, with 6 rides.
Not supported: Traffic lights caused the longer rides.
Answer: Supported: The most common interval is 6 to 10, with 6 rides. Not supported: Traffic lights caused the longer rides.
Use the tomato counts from this garden.
Write one observation the histogram supports, and one conclusion that goes too far.
Supported: 10 to 14 and 15 to 19 are tied for the most, with 4 plants each.
Not supported: Rabbits caused the low counts.
Answer: Supported: 10 to 14 and 15 to 19 are tied for the most, with 4 plants each. Not supported: Rabbits caused the low counts.
Use the practice sessions from this band.
Write one observation the histogram supports, and one conclusion that goes too far.
Supported: The most common interval is 30 to 39, with 6 sessions.
Not supported: The longer sessions caused better playing.
Answer: Supported: The most common interval is 30 to 39, with 6 sessions. Not supported: The longer sessions caused better playing.
Use the lunch times from this class.
Write one observation the histogram supports, and one conclusion that goes too far.
Supported: Every interval has 4 students, so there is no single peak.
Not supported: The cafeteria ran out of food.
Answer: Supported: Every interval has 4 students, so there is no single peak. Not supported: The cafeteria ran out of food.
Use the temperatures from these days.
Write one observation the histogram supports, and one conclusion that goes too far.
Supported: The most common interval is 70 to 74, with 5 days.
Not supported: Hot days caused band practice to be canceled.
Answer: Supported: The most common interval is 70 to 74, with 5 days. Not supported: Hot days caused band practice to be canceled.
Use the points from this team.
Write one observation the histogram supports, and one conclusion that goes too far.
Supported: Every interval has 5 players, so there is no single peak.
Not supported: The coach's new drill caused the equal spread.
Answer: Supported: Every interval has 5 players, so there is no single peak. Not supported: The coach's new drill caused the equal spread.
Use the page counts from this reading group.
Write one observation the histogram supports, and one conclusion that goes too far.
Supported: The most common interval is 30 to 39, with 7 students.
Not supported: More pages caused higher grades.
Answer: Supported: The most common interval is 30 to 39, with 7 students. Not supported: More pages caused higher grades.
Look again at the rides to one school, not at every rider in the city.
Write one observation the histogram supports, and one conclusion that goes too far.
Supported: The most common interval is 6 to 10, with 6 rides. That is the cluster.
Not supported: Every rider in the city has a ride in 6 to 10 minutes.
Answer: Supported: The most common interval is 6 to 10, with 6 rides. That is the cluster. Not supported: Every rider in the city has a ride in 6 to 10 minutes.
Look at the low end of this garden only.
Write one observation the histogram supports, and one conclusion that goes too far.
Supported: The interval 0 to 4 has 2 plants.
Not supported: The garden across town is worse because this bar is short.
Answer: Supported: The interval 0 to 4 has 2 plants. Not supported: The garden across town is worse because this bar is short.
Compare the long sessions in this band only.
Write one observation the histogram supports, and one conclusion that goes too far.
Supported: 30 to 39 has more sessions than 40 to 49. 30 to 39 has 6 and 40 to 49 has 3.
Not supported: The band room was closed, so the sessions got shorter.
Answer: Supported: 30 to 39 has more sessions than 40 to 49. 30 to 39 has 6 and 40 to 49 has 3. Not supported: The band room was closed, so the sessions got shorter.
Look at the hottest interval in this set of days.
Write one observation the histogram supports, and one conclusion that goes too far.
Supported: The interval 80 to 84 has 1 days.
Not supported: The town never gets hot.
Answer: Supported: The interval 80 to 84 has 1 days. Not supported: The town never gets hot.
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