I can find the median of a data set and use it to describe what is typical.Puedo hallar la mediana de un conjunto de datos y usarla para describir lo que es típico.
MissionMisión · Case FilesExpedientes · night shiftturno de noche
Follow the numbers to the truth.Sigue los números hasta la verdad.
A midnight tip arrives with a stack of new evidence. One number is wildly out of place, and only a sharp detective can find the median that still tells the truth.
A medianoche llega una pista con una pila de nuevas evidencias. Un número está muy fuera de lugar, y solo un detective atento puede hallar la mediana que aun así dice la verdad.
Word bankBanco de palabras 4 words4 palabrasmedian, outlier, typical value, …mediana, valor atípico, valor típico, …
- medianmediana
- The middle value when the data are in order. With two middle values, it is halfway between them.El valor del medio cuando los datos están en orden. Con dos valores del medio, está a mitad de camino entre ellos.
- outliervalor atípico
- A value that is much bigger or smaller than the rest of the data.Un valor mucho mayor o menor que el resto de los datos.
- typical valuevalor típico
- A number that stands for the whole set, such as the median.Un número que representa a todo el conjunto, como la mediana.
- measure of centermedida de tendencia central
- One number that describes a typical value in a data set.Un número que describe un valor típico de un conjunto de datos.
Stage 1 of 5Etapa 1 de 5
Start StrongEmpieza fuerte
Each rung is harder than the last, and the numbers change every time.
Cada peldaño es más difícil que el anterior y los números cambian cada vez.
- 6 fresh problems with new numbers each time (interactive only).
Stage 2 of 5Etapa 2 de 5
Stretch Your ThinkingAmplía tu pensamiento
Plan, solve, then check that your answer makes sense.
Planea, resuelve y revisa que tu respuesta tenga sentido.
- Find the Stats Error
- A basketball player scored 15, 18, 16, 42, and 14 points in 5 games. Find the mean and median. Which better represents the player's typical game? Explain how the outlier affects each measure.
- Fill in the table
- Case 14: detectives timed 9 witnesses walking to the scene. Their times in minutes were 12, 7, 15, 9, 21, 8, 11, 14, 10. What is the median time?
- The lab measured 6 footprints at the scene. Their lengths in centimeters were 24, 27, 22, 30, 25, 26. What is the median length?
- A suspect’s six alibi checks took 31, 28, 33, 30, 29, 95 minutes. One check, 95, was far longer than the rest. Which statement best describes a typical check time?
- Median 30.5 min: one long check shifts it little.
- The mean, 41 minutes, because it uses every time
- The largest time, 95 minutes, because it stands out
- The median, 30 minutes, the lower middle value
- The team has five clue scores: 8, 14, 5, 11, 20. A sixth clue arrives with a score of 17. What is the median of all six scores?
Stage 3 of 5Etapa 3 de 5
InvestigateInvestiga
Use the model to test an idea. Then check it.
Usa el modelo para probar una idea. Luego compruébala.
- Find the median of each data set in your head. Then sort the sets: is the median one of the numbers in the set, or a number between two of them?
- Write your own set of 8 numbers, in any order, with a median of 14. Show them in order and circle the two middle numbers. Then replace your greatest number with a much larger outlier and tell whether the median changes.
- 4 fresh problems with new numbers each time (interactive only).
Stage 4 of 5Etapa 4 de 5
Find and FixEncuentra y corrige
Somebody made a mistake. Find the step and fix it.
Alguien cometió un error. Encuentra el paso y corrígelo.
- Hiro finds the median of the clue counts 18, 5, 9, 20, 12 collected from five rooms.
- Rosa finds the median of the fingerprint counts 6, 11, 15, 22, 28, 30, already in order.
- Sven finds the median of the tip counts 4, 6, 7, 9, 12, 13, 20, already in order.
- The clue scores are 3, 8, 11, 20, 40. Andre says that if 40 is changed to 400, the median changes to 400. Wen says the median stays the same. Who is right?
- Wen, because the middle value is still 11
- Andre, because the largest value is in the median
- Both, because the median depends on every value
- Neither, because the median becomes 20
- What is the best next move?
- Average the two middle scores.
- Add the two middle scores and use that sum.
- Take the 3rd score, 18, as the median.
- Add all six scores and divide by 6.
- 1 fresh problem with new numbers each time (interactive only).
Stage 5 of 5Etapa 5 de 5
Prove Your UnderstandingDemuestra tu comprensión
Say how sure you are, solve, then create a problem of your own.
Di qué tan seguro estás, resuelve y luego crea un problema tuyo.
- Seven witnesses gave their ages: 23, 31, 18, 35, 27, 20, 29. What is the median age?
- In an ordered list of 10 evidence weights, the 5th weight is 18 grams and the 6th weight is 25 grams. What is the median?
- 18 grams
- 21.5 grams
- 25 grams
- 43 grams
- Each dot is one tip the hotline received per hour. What is the median number of tips?
- 3
- 15
- 8
- 5
- Four numbers in order are 10, 14, x and 30. Their median is 17. What is x?
- The median time to solve a puzzle in a group of detectives is 12 minutes. Which statement must be true?
- Most detectives took exactly 12 minutes
- All the times add up to 12 times the number of detectives
- At least half took 12 min or less; half took 12 min or more.
- No detective took more than 12 minutes
- Create your own problem. Write a data set of 7 or 8 numbers about a case, for example witness ages or clue counts. Find the median and explain what it tells you about a typical value. Use the words order, middle, typical and half.