Start here

Use the model to solve the first problem. Then try these quick review questions from earlier lessons.

1. 1

   Same stepsFinish what the group started. Use the model above, step for step. 🔊 Listen 💡 Hint

   Try it together — then prove it:

   1. Find the five numbers for a box plot of this data: 2, 5, 5, 8, 11.
   2. Find the median. (5, the 3rd value.)
   3. Find Q1 from 2 and 5, and Q3 from 8 and 11. (Q1 is 3.5 and Q3 is 9.5.)
   4. Find the least and greatest values. (2 and 11)
   5. Q1 is 3.5, but 3.5 is not in the data. Why is that allowed? (Q1 is the middle of 2 and 5. The middle of two values can fall between them.)

   Show your work
2. 2

   Quick reviewThe values 4, 6, 9, 12 and 19 are already in order. What is the median? 🔊 Listen 💡 Hint

   1. A6
   2. B9
   3. C10
   4. D12

   How do you know?
3. 3

   Quick reviewOrder these values from least to greatest: 6, 13, 4, 9 and 3. What is the median? 🔊 Listen 💡 Hint

   1. A4
   2. B6
   3. C7
   4. D13

   How do you know?
4. 4

   Quick reviewFind the median of 4, 8, 6, 10. 🔊 Listen 💡 Hint

   1. A6
   2. B7
   3. C8
   4. D28

   How do you know?

Try these on your own

Choose an answer. Then explain how you know.

1. 5

   Think it throughWhat is Team A's IQR? 🔊 Listen 💡 Hint

   1. A10
   2. B16
   3. C35
   4. D60

   Why is that the answer?
2. 6

   Think it throughWhat is Team B's IQR? 🔊 Listen 💡 Hint

   1. A10
   2. B16
   3. C45
   4. D61

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

   Think it throughIs the fan right that Team B is better because of the 80-point game? 🔊 Listen 💡 Hint

   1. AYes — 80 is the highest score in the data
   2. BNo — Team A's maximum is higher
   3. CYes — the maximum always decides
   4. DNo — one high game is a single extreme value, not typical performance

   Explain your thinking. What would have to change for a different choice to be right?
4. 8

   Back to the modelThe IQR is Q3 − Q1 = 26 − 10 = 16. What does this tell you about the middle 50% of scorers? 🔊 Listen 💡 Hint

Use the words

Fill each blank with a word from the bank.

• A graph that shows data with a box and whiskers based on the five-number summary is a ___.
• The middle value of the data, shown as a line inside the box, is the ___.
• A value that divides the data into four equal parts is a ___.
• The distance between the first and third quartiles, showing the middle 50% of data, is the ___.

Explain the thinking

1. 9

   Find the mistakeRead the mistake. Explain what went wrong, then show the correct step. 🔊 Listen 💡 Hint

   The mistake: A common mistake in Display Data: Box Plots is treating a quartile as just one data point instead of the median of a half — for the lower half 4, 8, 10, 14, some students pick 10 (the last value) as Q1 instead of finding the median of that half: Q1 = (8 + 10) ÷ 2 = 9.
2. 10

   Say moreAs you draw the box from Q1 to Q3, what does the length of the box tell you about the players' scores? 🔊 Listen 💡 Hint
3. 11

   Write your ownWrite your own problem about this situation, then solve it and show the answer. The situation: The table shows 25 sixth graders' times to finish a 5-kilometer road race. 🔊 Listen 💡 Hint

   Show your work

Last check

These two come from Lesson 2.3. If they are shaky, that is the lesson to revisit — not this one.

1. 12

   Show what you knowExplain your thinking — A box plot has Q1 = 20 and Q3 = 36. What is the IQR and what does it represent? 🔊 Listen 💡 Hint

   1. AIQR = 16; it is the spread of the middle 50% of the data
   2. BIQR = 28; it is the median between Q1 and Q3
   3. CIQR = 36; it is the value of Q3
   4. DIQR = 56; it is the total of Q1 and Q3

   Explain your choice.
2. 13

   From Lesson 2.3Explain your thinking — Data set: 4, 7, 10, 7, 12. What is the median, and what does it tell you? 🔊 Listen 💡 Hint

   1. A7 — a typical value in this set is about 7
   2. B8 — it is the average of all five values
   3. C10 — it is the middle number as the list is written
   4. D12 — it is the largest value

   How do you know?
3. 14

   From Lesson 2.3What is the median of the 10 scores? 🔊 Listen 💡 Hint

   1. A86.6
   2. B87
   3. C88
   4. D92

   How do you know?

Check your progress

Choose the box that best describes how you feel about each skill.