I can find the mean absolute deviation (MAD) to describe how spread out data is.Puedo hallar la desviación media absoluta (DAM) para describir qué tan dispersos están los datos.
MissionMisión · Sound StudioEstudio de sonido
Mix the track, then check the math.Mezcla la pista y revisa las matemáticas.
The Sound Studio is mixing a new album, and the producer wants every track to feel steady. Measure how far each track strays from the mean, and find out how tight the mix really is.
El Estudio de Sonido está mezclando un álbum nuevo, y el productor quiere que cada pista suene estable. Mide cuánto se aleja cada pista de la media y descubre qué tan ajustada está la mezcla.
Word bankBanco de palabras 5 words5 palabrasmean absolute deviation (MAD), deviation, absolute value, …desviación media absoluta (DAM), desviación, valor absoluto, …
- mean absolute deviation (MAD)desviación media absoluta (DAM)
- The average distance of the data values from the mean. It describes spread.La distancia promedio de los valores a la media. Describe la dispersión.
- deviationdesviación
- How far a value is from the mean: value − mean. It can be negative.Qué tan lejos está un valor de la media: valor − media. Puede ser negativa.
- absolute valuevalor absoluto
- The distance of a number from zero. It is never negative.La distancia de un número a cero. Nunca es negativo.
- spreaddispersión
- How far apart the data values are.Qué tan separados están los valores de los datos.
- meanmedia
- The sum of the values divided by how many values there are.La suma de los valores dividida entre cuántos valores hay.
Stage 1 of 5Etapa 1 de 5
Get ReadyPrepárate
Wake up what you know, then explore today's model.
Activa lo que sabes y luego explora el modelo de hoy.
- Use the starting data. Predict: if you move the 20 down to 14, will the MAD get larger or smaller? Test it in the model. Explain what happened using the distance from the mean.
- Find the mean of 10, 14, 8, 12 and 16.
- 10
- 12
- 14
- 60
- Four friends have 6, 9, 4 and 5 stickers. If they share them equally, how many does each get?
- 4
- 5
- 6
- 24
- A student's first three quiz scores are 82, 90 and 86. What score on a fourth quiz gives a mean of 87?
- 86
- 88
- 90
- 92
- 1 fresh problem with new numbers each time (interactive only).
Stage 2 of 5Etapa 2 de 5
Try ItInténtalo
Use the hints when you need them. Every wrong answer tells you why.
Usa las pistas cuando las necesites. Cada respuesta incorrecta te dice por qué.
- The mean of a data set is 15. One value is 11. What is the absolute deviation of that value from the mean?
- 4
- −4
- 11
- 26
- A data set has absolute deviations of 3, 1, 5, 2, 4. What is the MAD?
- 1
- 3
- 5
- 15
- The mean of a data set is 20. A value is 26. What is the absolute deviation?
- 6
- −6
- 26
- 46
Stage 3 of 5Etapa 3 de 5
On Your OwnPor tu cuenta
Tables, mistakes to find, and problems with a few steps.
Tablas, errores por encontrar y problemas de varios pasos.
- Deviation Detective: the quiz scores are 12, 8, 10, 14, 6 and the mean is 10. Complete each deviation and absolute deviation, then compute the MAD.
- Match each MAD value to what it tells you about the data.
- Two runners have the same average time of 60 seconds. Runner A's MAD is 1.2 seconds. Runner B's MAD is 5.8 seconds. Which runner is the coach more likely to pick for a relay race that needs a reliable time?
- Runner B — higher MAD means faster potential
- Either — they have the same average
- Runner A — lower MAD means more consistent times
- Neither — MAD doesn't matter for relay races
- What is the best next move?
- Find how far each value is from 7.
- Subtract the least from the greatest: 13 − 2.
- Add the five values again and divide by 5.
- Subtract 7 from each value and keep the negative signs.
Stage 4 of 5Etapa 4 de 5 · OptionalOpcional
Practice MorePractica más
Optional extra practice. Press New numbers for another problem on the same skill.
Práctica extra opcional. Toca Números nuevos para otro problema de la misma habilidad.
- 5 fresh problems with new numbers each time (interactive only).
Stage 5 of 5Etapa 5 de 5
Show What You KnowDemuestra lo que sabes
Show what you learned today. Take your time; you can try again.
Muestra lo que aprendiste hoy. Tómate tu tiempo; puedes intentarlo otra vez.
- What is each keeper's mean goals allowed per game?
- about 1.67
- 2
- 6
- 10
- What does a smaller MAD tell you?
- The values stay closer to the mean — the keeper is more consistent
- The keeper allowed fewer goals overall
- The keeper played fewer games
- The values are all close to zero
- Which keeper should the coach start, and why?
- Keeper B, because two shutouts is best
- Either one, because the means are equal
- Keeper A, because the smaller MAD (0.67) means more consistent performance
- Keeper B, because a larger MAD means more skill