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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.

   Let's do one together: Find the median of this data set: 13, 3, 7, 10, 7. Put the values in order from least to greatest. (3, 7, 7, 10, 13) How many values are there? Which one is the middle? (5 values, so the 3rd value is the middle.) What is the median? (7) Change 13 to 130. Does the median change? (No. The median is still 7.)

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

   Show your work
2. 2

   Warm restartA histogram bar for the interval 10–19 has a height of 6. How many data values fall in that interval?

   1. A6
   2. B10
   3. C16
   4. D19
3. 3

   Warm restartA histogram uses the intervals 0–9, 10–19 and 20–29. What is the width of each interval?

   1. A3
   2. B9
   3. C10
   4. D29
4. 4

   Warm restartA histogram has bar heights 3, 7, 5 and 2. How many data values are in the whole set?

   1. A4
   2. B7
   3. C15
   4. D17

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 throughThe teacher said 'most students scored around 87.' Which measure is that?

   1. AThe mode
   2. BThe mean (average)
   3. CThe median
   4. DThe range

   Why is that the answer?

   I chose ___ because ___ .
2. 6

   Think it throughThe student said 'the most common score was 92.' Which measure is that?

   1. AThe mean
   2. BThe median
   3. CThe mode
   4. DThe range

   How do you know?

   I chose ___ because ___ .
3. 7

   Think it throughWhat is the median of the 10 scores?

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

   Explain your thinking.

   I chose ___ because ___ .
4. 8

   Back to the modelThe mean (43) is higher than the median (41). Why? Which better represents a typical game?

   The mean is higher than the median because the high score of ___ pulls the mean ___. The ___ better represents a typical game because ___.

Use the words

Fill each blank with a word from the bank.

• The middle value of a data set when the numbers are in order is the ___.
• The value that appears most often in a data set is the ___.
• A value that is much larger or smaller than the rest of the data is an ___.
• The way data values are spread out is the ___.

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 Mean, Median, and Mode is finding the median without ordering the data first — students pick the middle number straight from the list as given (for 9, 4, 7, 2, 6 they say the median is 7, the middle position in that original order) instead of sorting least to greatest (2, 4, 6, 7, 9) and finding the true middle value, 6.
2. 10

   Say moreAfter ordering the scores on the number line, how do you find the median, and how is it different from the mean you calculated?

   To find the median, I first ___ the scores, then pick the ___.
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.

   If ___ changed to ___ , then ___ .

   Show your work

Last check

These two come from Lesson 2.2. If they are shaky, that is the lesson to revisit — not this one.

1. 12

   Show what you knowQuick check — you've got this: Data set: 4, 7, 10, 7, 12. What is the median, and what does it tell you?

   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

   Explain your choice.

   I know it is ___ because ___ .
2. 13

   From Lesson 2.2Quick 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?

   1. A60–63 inches
   2. B64–67 inches
   3. C68–71 inches
   4. D72–75 inches
3. 14

   From Lesson 2.2Does the histogram support the coach's claim?

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

Be honest — this tells your teacher what to do next