I can choose the best measure of center for a data set based on its shape.Puedo elegir la mejor medida de tendencia central para un conjunto de datos según su forma.
MissionMisión · Home FieldCancha local
Train like a champion.Entrena como un campeón.
You are the new data analyst at Home Field. Before every game the coach asks for one number that shows how the team really plays, so your job is to pick the measure that tells the truth.
Eres analista de datos en Home Field. Antes de cada partido, el entrenador pide un número que muestre cómo juega de verdad el equipo, así que tu trabajo es elegir la medida que dice la verdad.
Word bankBanco de palabras 5 words5 palabrasoutlier, skewed, median, …valor atípico, sesgado, mediana, …
- 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.
- skewedsesgado
- Data bunched on one side with a long tail on the other side.Datos agrupados de un lado con una cola larga del otro lado.
- medianmediana
- The middle value when the data is in order. An outlier barely moves it.El valor del medio cuando los datos están en orden. Un valor atípico casi no la mueve.
- meanmedia
- Add all the values and divide by how many there are. An outlier pulls it.Suma todos los valores y divide entre cuántos hay. Un valor atípico la jala.
- variabilityvariabilidad
- How spread out the data values are.Qué tan dispersos están los valores de los datos.
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 change the 48 to 40, will the median change? Test it. Then compare what happens to the mean and say which measure is better for a typical game.
- The mean of a data set is 20. A value is 26. What is the absolute deviation?
- −6
- 6
- 26
- 46
- 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
- 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.
- A gymnast's scores are: 8.5, 8.8, 8.7, 8.6, 8.9. There are no outliers. Which measure best represents a typical score?
- Median
- Neither — the data is too small
- Mode — the scores are close together
- Mean
- A runner's mile times are: 7:10, 7:15, 7:12, 7:20, 12:00. The 12:00 was due to a cramp. Which measure best represents a typical mile?
- Mean — it uses all the data
- Median — the outlier 12:00 pulls the mean too high
- Mode — it shows the most common time
- Neither measure works
- Match each data description with the best measure of center.
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.
- A baseball player's batting averages over 6 seasons are: .280, .295, .290, .285, .300, .110. The .110 was an injury-shortened season. Which measure better represents the player's typical batting average?
- Median, because the .110 outlier pulls the mean down
- Mean, because it uses all the data
- Mean, because .110 is a real season
- Neither measure works
- Fill in the table
- Match the reason with whether to use mean or median.
- What is the best next move?
- Use the mean, since it counts every day.
- Check for a day far from the rest before choosing.
- Report 30, the greatest, to show what the team can do.
- Report the range, since it uses the biggest and smallest days.
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 the mean ticket price?
- $50
- $51
- $85
- $260
- What is the median ticket price?
- $50
- $51
- $52
- $85
- Which measure better describes a 'typical' ticket?
- The median, because the $260 outlier pulls the mean far above most prices
- The mean, because it uses every value
- Neither — you should use the mode
- The mean, because $85 is between the extremes