I can determine the mean of a data set, use a target mean to find a missing value, and explain the mean as the fair share and the balance point of the data.Puedo determinar la media de un conjunto de datos, usar una media objetivo para hallar un valor que falta y explicar la media como el reparto justo y el punto de equilibrio de los datos.
MissionMisión · Maker WorkshopTaller de creadores · night shiftturno de noche
Build it right.Constrúyelo bien.
After hours the workbenches go quiet and the lamps stay on. One job log has a number far out of line, and only a careful maker can find the mean that stays honest.
Después del horario, los bancos de trabajo quedan en silencio y las lámparas siguen encendidas. Un registro tiene un número muy fuera de lugar, y solo un creador atento puede hallar la media que sigue siendo honesta.
Word bankBanco de palabras 5 words5 palabrasmean, average, balance point, …media, promedio, punto de equilibrio, …
- meanmedia
- The sum of the values divided by how many values there are.La suma de los valores dividida entre cuántos valores hay.
- averagepromedio
- Another word for the mean: the fair share if the total were split equally.Otra palabra para la media: la parte justa si el total se repartiera en partes iguales.
- balance pointpunto de equilibrio
- The value where the distances of the data above and below it are equal. The mean is the balance point.El valor donde las distancias de los datos por encima y por debajo son iguales. La media es el punto de equilibrio.
- data setconjunto de datos
- The whole collection of values gathered or measured.Toda la colección de valores reunidos o medidos.
- target meanmedia objetivo
- The mean you are trying to reach.La media que intentas alcanzar.
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.
- Sofia realized she made an error: she actually scored 12 points in Game 8, not 10. Her other games are unchanged (12, 20, 16, 11, 17, 14, 15, and 18). How does this change the number of points she needs in Game 10 to average 15 points per game? Show how you know.
- Fill in the table
- A data set has a mean of 20. Every value in the data set is then increased by 4. What is the new mean?
- 5
- 20
- 24
- 80
- Six makers logged their weekly bench time in hours: 3.5, 4, 2.5, 5, 4.5, 3. What is the mean number of hours?
- A maker sold 12, 15, 9, 14 bracelets in the first four weeks. How many must she sell in week 5 for the mean of the five weeks to be 13?
- Each dot is one workbench’s count of finished clamps. If the dots were weights on a beam, where would the beam balance?
- 4
- 6
- 5
- 9
- A shop timed 5 sanding jobs in minutes: 8, 9, 10, 9, 8. Then the last job turns out to take 38 minutes instead of 8. Fill in the total and the mean before and after the change.
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.
- Sort each statement: does it describe the mean or the median?
- Write the pay for 5 jobs so the mean is $12 and no two jobs pay the same. Show your target total and how you found the last pay after choosing four. Explain what the mean tells the workshop as a fair share.
- 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.
- Pilar finds the mean of the sawing times 14, 9, 11 and 6 minutes.
- Tevita finds the mean number of nails used on four jobs: 4, 0, 6 and 2.
- Anneke finds the mean of the glue amounts 2, 3, 3, 4 and 18 grams.
- Ola wants a mean of 80 on four quality checks. Her first three scores are 70, 85 and 90. Luis says she needs 80 on the last check. Sia says she needs 75. Who is right?
- Sia, because the four scores must total 4 × 80 = 320
- Luis, because the last score should match the target mean
- Neither, because she needs 95
- Neither: she needs 85, the middle of her three scores
- What is the best next move?
- Add 78, 90 and 84 and divide by 3 to get the fourth score.
- Multiply 4 × 85 to find the total the four scores must make.
- Subtract 78, 90 and 84 from 85 to find the fourth score.
- Use 85, the target mean, as the fourth score.
- 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.
- Eight pieces of cedar have lengths of 3.4, 5.1, 4.8, 6.2, 4.5, 5, 3.9, 5.7 meters. What is the mean length?
- The mean of 5 numbers is 12. What is the sum of the 5 numbers?
- 60
- 17
- 2.4
- 12
- Six drill bits have a mean length of 8.5 centimeters. Five of them are 7, 9, 8, 10, 6 centimeters. How long is the sixth?
- A shop sells boards that cost $12, $14, $13, $15 and $96. Which statement is true when the $96 board is included?
- The mean is the middle price, $14
- The mean is less than four of the five prices
- The mean is greater than four of the five prices
- The mean is greater than all five prices
- A student says the mean of 4, 7, 9 and 12 is 32. How can you tell without calculating that she is wrong?
- She is right, because a mean adds up all the values
- The mean stays between the least and greatest: 4 and 12.
- The mean must be one of the numbers in the list
- The mean must be less than 4
- Create your own problem. Write 5 or 6 numbers about a workshop, such as nails used or minutes sanding. Find the mean, then explain the mean as the fair share and as the balance point. Use the words mean, average, balance point and data set.