Lesson 2.32.1–2.3 Catch-Up
Start hereWords, worked example, and sentence starters
Learning target I can show I am caught up on Lessons 2.1–2.3 by using each lesson's big idea in mixed practice.
Start hereWords for this lesson
Read each word before you begin. Say it out loud.
| Word | What it means | Example |
|---|---|---|
| Statistical Questions and DataSpanish: Preguntas estadísticas y datos | A statistical question expects varied answers that can be collected as data. | How many minutes do students in our class read each night? |
| Statistical QuestionSpanish: Pregunta estadística | A question where the answers will be different for different people. | “How tall are the players on the team?” → answers vary: 60 in, 63 in, 58 in, 65 in |
| Non-statistical QuestionSpanish: Pregunta no estadística | A question that has just one fixed answer that is the same no matter who you ask, so there is no data to collect. | “How tall am I?” → one answer: 60 in. Everyone who measures gets the same number. |
| DataSpanish: Datos | Facts and numbers you collect, like answers to a survey. | Player heights: 60 in, 63 in, 58 in, 65 in — four different measurements |
| VariabilitySpanish: Variabilidad | How spread out the numbers are. | Scores 10, 12, 11 are close together (low variability); scores 2, 15, 30 are far apart (high variability) |
| SurveySpanish: Encuesta | Collecting facts by asking people questions. | Asking 50 students 'What is your favorite sport?' and recording the answers |
How it worksWorked examplefinding the median of an odd-sized set
These numbers are not on your problems. The steps are. Follow them with your own numbers.
Seven bowling scores are 96, 88, 104, 91, 99, 86, 93. What is the median score?
- Write the values in order, crossing each one off the original list as you place it.
- Ordered: 86, 88, 91, 93, 96, 99, 104.
- Count them. Seven values is an odd count, so one value sits exactly in the middle.
- Cross off one from each end until a single value is left.
Answer: The median score is 93, the middle value of the ordered list.
Now you trySame steps, your turn
The steps are the same as the worked example. The numbers are yours. Do the work.
Seven snack prices in cents are 65, 72, 58, 81, 69, 77, 62. What is the median price?
- Write the values in order from least to greatest:
- How many values are there? Is that count odd or even?
- Cross off one value from each end until only one remains in the middle.
- The median is cents.
Say it and write itSentence starters
Finish each sentence out loud with a partner. Then use them in your writing.
- In order, the values are .
- There are values, so the middle one is in position .
- The median is , which means .
- About half the values are below .
Word bank medianorderleastgreatestmiddlehalftypicalcenterpositioncountoutlierdata
Watch outA common 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. Before finalizing a median, always reorder the data smallest to largest, then count to the middle position — and if there is an even number of values, average the two middle numbers.
Lesson 2.32.1–2.3 Catch-Up
Catch-UpSkill bridge
Learning target I can show I am caught up on Lessons 2.1–2.3 by using each lesson's big idea in mixed practice.
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1Circle the letter of the best answer. Show how you know.
(Lesson 2.2) In a histogram, what does the height of each bar represent?
- AThe average of the data in that interval
- BThe frequency (count) of data in that interval
- CThe range of the interval
- DThe median of the data
Hint Think about what you'd count to draw one bar: you'd tally how many data values land inside that interval.
Show your work
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2Circle the letter of the best answer. Show how you know.
(Lesson 2.1) Which of the following is a statistical question?
- AHow many points did each player score this season?
- BHow many points are scored for a free throw?
- CWhat sport does this team play?
- DHow many halves are in a soccer game?
Hint Re-read each question and ask: would different people or games give different answers, or is there just one fixed answer?
Show your work -
3Circle the letter of the best answer. Show how you know.
(Lesson 2.1) Which question is NOT a statistical question?
- AHow many home runs did each player hit this year?
- BHow many miles does each runner train per week?
- CHow many innings are in a baseball game?
- DHow tall is each player on the basketball team?
Hint Careful — this asks for the question that is NOT statistical: the one with a single fixed answer instead of varying data.
Show your work -
4Circle the letter of the best answer. Show how you know.
(Lesson 2.2) A histogram shows these frequencies: 0–4: 3 players, 5–9: 8 players, 10–14: 12 players, 15–19: 5 players. How many players are represented in total?
- A12
- B15
- C20
- D28
Hint The question asks for the TOTAL across all four intervals — not the tallest bar and not the biggest interval.
per 1 - 1LabelWrite what each column is.
- 2Find per 1Divide to get one.
- 3ScaleMultiply up to what is asked.
- 4CheckDoes the size make sense?
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5Circle the letter of the best answer. Show how you know.
(Lesson 2.3) Find the mean of: 10, 14, 8, 12, 16
- A10
- B12
- C14
- D60
Hint Mean means the average of all five numbers — you'll need both a total and how many numbers there are.
Put the data in orderWork- 1OrderSmallest to largest.
- 2CountHow many values?
- 3LocateMiddle, or add and divide.
- 4AnswerSay which measure it is.
Explain your thinkingThe mean (43) is higher than the median (41). Why? Which better represents a typical game?
Sentence starter The mean is higher than the median because the high score of ___ pulls the mean ___. The ___ better represents a typical game because ___.