Lesson 2.52.2 · 2.4 · 2.5 · 2.10 Catch-Up
Start hereWords, worked example, and sentence starters
Learning target I can show I am caught up on Lessons 2.2 · 2.4 · 2.5 · 2.10 by using each lesson's big idea in mixed practice.
Why This Matters Missed a lesson — or just want a refresher? This catch-up station reviews Lessons 2.2 · 2.4 · 2.5 · 2.10: 2.2 Represent and Describe Data in a Histogram, 2.4 Represent and Describe Data in a Box Plot, 2.5 Describe Data by Range and Interquartile Range, 2.10 Choose Appropriate Measures. Work one example from each lesson, then prove you're caught up in the mixed practice.
Start hereWords for this lesson
Read each word before you begin. Say it out loud.
| Word | What it means | Example |
|---|---|---|
| HistogramSpanish: Histograma | A bar graph that groups data into equal ranges. The bars touch. | Bars side by side: 0-9 pts (3 players), 10-19 pts (8 players), 20-29 pts (4 players) |
| FrequencySpanish: Frecuencia | How many times a value shows up. | If 5 players scored 10-19 points, the frequency for that interval is 5 |
| IntervalSpanish: Intervalo | A range of numbers used to group data. | 0-9, 10-19, 20-29 are intervals of width 10 — each covers 10 values |
| DistributionSpanish: Distribución | How the data is spread out. | Most data in the middle with fewer at the ends = bell-shaped; most on one side with a tail = skewed |
| VariabilitySpanish: Variabilidad | How spread out the numbers are. | Close together or far apart |
| Box PlotSpanish: Diagrama de caja | A graph that shows how data is spread using five key numbers. | A box from Q1 to Q3 with a line at the median, and whiskers from min to max |
How it worksWorked example
These numbers are not on your problems. The steps are. Follow them with your own numbers.
Hikes (km): 5, 12, 8, 20, 15, 10, 18.
- Order: 5, 8, 10, 12, 15, 18, 20.
- Range = 20 − 5 = 15 km.
- Q1 = 8, Q3 = 18, so IQR = 18 − 8 = 10 km.
Answer: Range 15 km; IQR 10 km
Now you trySame steps, your turn
The steps are the same as the worked example. The numbers are yours. Do the work.
Data: 1, 5, 11, 14, 16, 23. How many values fall in the interval 10–19?
Say it and write itSentence starters
Finish each sentence out loud with a partner. Then use them in your writing.
- The greatest value is and the least value is .
- The range is , which describes .
- Quartile 1 is and quartile 3 is , so the IQR is .
- The IQR describes only of the data.
Word bank rangeinterquartile rangequartilespreadvariabilitygreatestleastsubtractmiddle halfextremeorderconsistent
Watch out!A common mistake
A common mistake in Appropriate Measures is defaulting to the mean just because "it uses all the data," without first checking whether an outlier or skewed shape is present. For example, given a player's points per game 14, 16, 15, 17, 16, 58, a student calculates the mean (136 ÷ 6 ≈ 22.7) and reports that as the typical game
Lesson 2.52.2 · 2.4 · 2.5 · 2.10 Catch-Up
Catch-UpSkill bridge
Learning target I can show I am caught up on Lessons 2.2 · 2.4 · 2.5 · 2.10 by using each lesson's big idea in mixed practice.
Why This Matters Missed a lesson — or just want a refresher? This catch-up station reviews Lessons 2.2 · 2.4 · 2.5 · 2.10: 2.2 Represent and Describe Data in a Histogram, 2.4 Represent and Describe Data in a Box Plot, 2.5 Describe Data by Range and Interquartile Range, 2.10 Choose Appropriate Measures. Work one example from each lesson, then prove you're caught up in the mixed practice.
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1Complete each step, then write the final answer.
Data: 1, 4, 12, 13, 17, 25. Use intervals of 0–9, 10–19 and 20–29. What is the frequency of 0–9?
Show your workHint Count the values from 0 to 9.
Final answer: -
2Complete each step, then write the final answer.
A histogram has bars 0–9: 5, 10–19: 2 and 20–29: 3. How many values are there in all?
Show your workHint Each bar height is a count. Add the heights.
Final answer: -
3Complete each step, then write the final answer.
Here are 5 values in order: 1, 4, 6, 9, 10. What is Q1?
Show your workHint The median is 6. The lower half is 1 and 4.
Final answer: -
4Complete each step, then write the final answer.
Here are 7 values in order: 2, 4, 5, 8, 11, 12, 15. What is Q3?
Show your workHint The median is the 4th value. Q3 is the middle of the 3 values after it.
Final answer: -
5Complete each step, then write the final answer.
A box plot shows: least 3, Q1 7, median 10, Q3 14, greatest 18. What is the range?
Show your workHint The range uses the least and greatest values.
Final answer: -
6Complete each step, then write the final answer.
A box plot shows: least 20, Q1 24, median 29, Q3 33, greatest 41. What is the IQR?
Show your workHint The IQR uses Q1 and Q3.
Final answer: -
7Complete each step, then write the final answer.
Which measure better shows a typical value for 5, 6, 7, 6, 30: the mean or the median?
Show your workHint Is one value far from the rest? An outlier pulls the mean toward it.
Final answer: -
8Complete each step, then write the final answer.
Which measure should you use for 2, 4, 6, 8, 10: the mean or the median?
Show your workHint Look for a value far from the rest. If there is none, use the mean.
Final answer:
Explain your thinkingWhat pattern do you notice about when median is the better choice?
Sentence starter The median is better when the data has ___ because the mean gets pulled toward ___. The mean is better when the data is ___ because ___.