Practice Set · Part 1
Represent and Describe Data in a Histogram
Pick up where we left off
Where we left off
Our goal: With my small group, I can make and read a histogram to display data in intervals — one step at a time, with support.
The big idea: To make a histogram, count how many values fall in each equal interval. Then draw touching bars with those heights.
Model to copy — Example · Build a histogram
- Make a histogram of this data: 3, 7, 12, 15, 18, 24. Use intervals of 10: 0–9, 10–19 and 20–29.
- Count the values in 0–9: 3, 7 → 2 values
- Count the values in 10–19: 12, 15, 18 → 3 values
- Count the values in 20–29: 24 → 1 value
- Draw one bar for each interval: heights: 2, 3, 1
- The frequencies are 2, 3 and 1. The tallest bar is 10–19, so most values are there.
Start here
You did these with your group. Now do them on your own — the model above is yours to copy.
- 1
Same stepsFinish what the group started. Use the model above, step for step.
Let's do one together: Make a histogram of this data: 2, 4, 8, 11, 13, 16, 21. Use intervals of 10: 0–9, 10–19 and 20–29. How many values fall in 0–9? (3 values: 2, 4 and 8.) How many values fall in 10–19? (3 values: 11, 13 and 16.) How many values fall in 20–29? (1 value: 21.) Which interval has the tallest bar? (It is a tie. 0–9 and 10–19 both have 3 values.)My first step is ___ , because the problem asks for ___ .
Show your work - 2
Warm restartWhich of these is a statistical question?
- AHow many minutes are in one hour?
- BHow many days are in September?
- CHow many sides does a hexagon have?
- DHow many minutes did each student read last night?
- 3
Warm restart'How tall is our flagpole?' is NOT a statistical question. Why not?
- AIt is about height
- BIt uses numbers
- CIt has only one answer, so there is no variability
- DNobody can measure it
- 4
Warm restartA class collects this data on pets owned: 0, 2, 1, 0, 3. Which statistical question could these answers come from?
- AHow many students are in the class?
- BWhat is the largest number of pets allowed?
- CHow many pets are in the store?
- DHow many pets does each student own?
Practice Set · Part 2
Represent and Describe Data in a Histogram
Keep going
You answered these out loud. Now write them.
Answer, then say how you know — the reason is the part that counts.
- 5
Think it throughWhich interval has the most players?
- A0–2 shots
- B3–5 shots
- C6–8 shots
- D9–11 shots
Why is that the answer?
I chose ___ because ___ .
- 6
Think it throughHow many players take between 3 and 8 shots per game?
- A8
- B10
- C18
- D23
How do you know?
I chose ___ because ___ .
- 7
Think it throughDoes the histogram support the coach's claim?
- ANo — most players take 0–2 shots
- BNo — the data is skewed right
- CYes — 18 of 23 players cluster in the middle intervals
- DYou cannot tell from a histogram
Explain your thinking.
I chose ___ because ___ .
- 8
Back to the modelThe tallest bar is the 10–19 interval with 16 players. What does the shape of this histogram tell you about scoring in the league?
Most players score between ___ and ___ points per game. The histogram is skewed ___ because ___. This tells me that ___.
Practice Set · Part 3
Represent and Describe Data in a Histogram
Words and reasoning
Word bank · Banco de palabras
Use the words
Fill each blank with a word from the bank.
- A bar graph that shows how often data falls into equal intervals is a ___.
- How many data values fall in an interval is the ___.
- An equal-sized range of values used to group data is an ___.
- The overall pattern of how data is spread out is the ___.
Explain the thinking
- 9
Find the mistakeAnother student made this exact mistake in this lesson. Explain why it is wrong, then write what they should have done.
The mistake: A common mistake in Display Data: Histograms is counting a boundary value in two intervals at once — for example, putting the value 10 in both the '0–9' bin and the '10–19' bin. - 10
Say moreAs you build the frequency table with intervals of 10, what does the height of each bar in the histogram represent?
The height of each bar shows the ___ of that interval.
- 11
Change one numberGo back to Part 1 and pick one problem you already solved. Change one number in it, then solve your new version. Show every step.
If ___ changed to ___ , then ___ .
Show your work
Practice Set · Part 4
Represent and Describe Data in a Histogram
Show what you know
Last check
These two come from Lesson 2.1. If they are shaky, that is the lesson to revisit — not this one.
- 12
Show what you knowQuick check — you've got this: A histogram of player heights shows: 60–63 in: 2, 64–67 in: 7, 68–71 in: 9, 72–75 in: 4. Which interval has the most players?
- A60–63 inches
- B64–67 inches
- C68–71 inches
- D72–75 inches
Explain your choice.
I know it is ___ because ___ .
- 13
From Lesson 2.1Quick check — you've got this: Which question is a statistical question? A) How many students are in the school? B) How many hours does each student in 6th grade exercise per week? C) What time does school start? D) How many days are in a week?
- AHow many hours does each student exercise per week?
- BHow many students are in the school?
- CWhat time does school start?
- DHow many days are in a week?
- 14
From Lesson 2.1Which of these is a statistical question?
- AHow tall am I?
- BWhat is today's date?
- CHow many minutes are in an hour?
- DHow tall are the students in my class?
Be honest — this tells your teacher what to do next
| I can… | Not yet | Getting there | Got it |
|---|---|---|---|
| I can make and read a histogram to display data in intervals — one step at a time, with support. | |||
| I can explain why it works: To make a histogram, count how many values fall in each equal interval… | |||
| I can talk through each step out loud using a sentence frame and the lesson's key words. |
One question I want to ask my group next time