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You did these with your group. Now do them on your own — the model above is yours to copy.

1. 1

   Same stepsFinish what the group started. Use the model above, step for step.

   Try it together — then prove it: New data: 2, 4, 8, 11, 13, 16, 21. We will use intervals of 10 again: 0–9, 10–19, 20–29. How many values fall in 0–9? Count them. How many fall in 10–19? How many fall in 20–29? Which interval would have the tallest bar? Now prove it: say why that move had to work at all — not just that it did.

   Show your work
2. 2

   Warm restartWhich of these is a statistical question?

   1. AHow many minutes did each student read last night?
   2. BHow many minutes are in one hour?
   3. CHow many days are in September?
   4. DHow many sides does a hexagon have?

   How do you know?
3. 3

   Warm restart'How tall is our flagpole?' is NOT a statistical question. Why not?

   1. AIt has only one answer, so there is no variability
   2. BIt is about height
   3. CIt uses numbers
   4. DNobody can measure it

   How do you know?
4. 4

   Warm restartA class collects this data on pets owned: 0, 2, 1, 0, 3. Which statistical question could these answers come from?

   1. AHow many pets does each student own?
   2. BHow many students are in the class?
   3. CWhat is the largest number of pets allowed?
   4. DHow many pets are in the store?

   How do you know?

You answered these out loud. Now write them.

Answer, then say how you know — the reason is the part that counts.

1. 5

   Think it throughWhich interval has the most players?

   1. A6–8 shots
   2. B3–5 shots
   3. C9–11 shots
   4. D0–2 shots

   Why is that the answer?
2. 6

   Think it throughHow many players take between 3 and 8 shots per game?

   1. A18
   2. B10
   3. C8
   4. D23

   How do you know? Give a second reason as well.
3. 7

   Think it throughDoes the histogram support the coach's claim?

   1. AYes — 18 of 23 players cluster in the middle intervals
   2. BNo — most players take 0–2 shots
   3. CNo — the data is skewed right
   4. DYou cannot tell from a histogram

   Explain your thinking. What would have to change for a different choice to be right?
4. 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?

Use the words

Fill each blank with a word from the bank.

• A histogram groups numerical data into equal ___ and shows each one's ___.
• 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 ___.

Explain the thinking

1. 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.
2. 10

   Say moreAs you build the frequency table with intervals of 10, what does the height of each bar in the histogram represent?
3. 11

   Write your ownWrite your own problem about this situation, then solve it and show the answer. The situation: A basketball league tracked the points-per-game average for all 30 of its players this season. The histogram groups those averages into equal intervals of 10 points.

   Show your work

Last check

These two come from Lesson 2.1. If they are shaky, that is the lesson to revisit — not this one.

1. 12

   Show what you knowExplain your thinking — 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?

   1. A72–75 inches
   2. B60–63 inches
   3. C68–71 inches
   4. D64–67 inches

   Explain your choice.
2. 13

   From Lesson 2.1Explain your thinking — 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?

   1. AHow many hours does each student exercise per week?
   2. BHow many students are in the school?
   3. CWhat time does school start?
   4. DHow many days are in a week?

   How do you know?
3. 14

   From Lesson 2.1Which of these is a statistical question?

   1. AHow tall are the students in my class?
   2. BHow tall am I?
   3. CWhat is today's date?
   4. DHow many minutes are in an hour?

   How do you know?

Be honest — this tells your teacher what to do next