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

   Let's do one together:

   1. Find the five numbers for a box plot of this data: 2, 5, 5, 8, 11.
   2. What is the median of 2, 5, 5, 8, 11? (5, the 3rd value.)
   3. The lower half is 2 and 5. What is Q1? ((2 + 5) ÷ 2 = 3.5)
   4. The upper half is 8 and 11. What is Q3? ((8 + 11) ÷ 2 = 9.5)
   5. What are the least and greatest values? (2 and 11)

   My first step is ___ , because the problem asks for ___ .

   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
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
4. 4

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

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

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?

   I chose ___ because ___ .
2. 6

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

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

   How do you know?

   I chose ___ because ___ .
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.

   I chose ___ because ___ .
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

   The middle 50% of players scored between ___ and ___ points. The IQR of ___ means the middle half of the data is spread across ___ points. This tells me ___.

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

   The box covers the middle ___ of the scores.
3. 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. 🔊 Listen 💡 Hint

   If ___ changed to ___ , then ___ .

   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 knowQuick check — you've got this: 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.

   I know it is ___ because ___ .
2. 13

   From Lesson 2.3Quick check — you've got this: 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
3. 14

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

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

Check your progress

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