Describe Data by Range and Interquartile Range

Grade 6 Math · Unit 2 Interactive Practice Studio (6.DS.3) · Lesson 2-5
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I can find the range and the interquartile range of a data set and use them to describe how spread out the data is.Puedo hallar el rango y el rango intercuartílico de un conjunto de datos y usarlos para describir qué tan dispersos están los datos.

MissionMisión · Rooftop GardenJardín en la azotea

Grow your skills.Haz crecer tus habilidades.

The Rooftop Garden is full of sunflowers, beans and tomatoes! Measure how spread out each bed is with the range and the IQR, and help the crew decide which bed grows most evenly.

¡El Jardín del Techo está lleno de girasoles, frijoles y tomates! Mide qué tan dispersa está cada cama con el rango y el RIC, y ayuda al equipo a decidir cuál cama crece de forma más uniforme.

Word bankBanco de palabras 5 words5 palabrasrange, interquartile range (IQR), quartile, …rango, rango intercuartílico (RIC), cuartil, …
rangerango
The distance from the least value to the greatest value: greatest − least.La distancia del valor menor al valor mayor: mayor − menor.
interquartile range (IQR)rango intercuartílico (RIC)
The spread of the middle half of the data: Q3 − Q1.La dispersión de la mitad central de los datos: Q3 − Q1.
quartilecuartil
One of the values that cut ordered data into four equal parts.Uno de los valores que dividen los datos ordenados en cuatro partes iguales.
variabilityvariabilidad
How much the values in a data set differ from one another.Cuánto difieren entre sí los valores de un conjunto de datos.
extreme valuevalor extremo
The least or greatest value, far from the rest.El valor menor o mayor, lejos del resto.

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.

  1. Predict the range and the interquartile range of these 8 bean heights in centimeters: 5, 8, 10, 12, 16, 18, 21, 30. Then check with the model. Explain which number describes the whole data set and which describes the middle half.
  2. A box plot has minimum 4, Q1 = 7, median = 10, Q3 = 14 and maximum 20. Which value splits the data in half?
    • 7
    • 10
    • 12
    • 14
  3. In that same box plot, what does the LEFT edge of the box show?
    • Q1, which is 7
    • Q3, which is 14
    • The minimum, which is 4
    • The median, which is 10
  4. Find the five-number summary of 2, 5, 6, 8, 9, 11, 14.
    • 2, 5, 8, 11, 14
    • 2, 6, 8, 9, 14
    • 2, 5, 6, 11, 14
    • 2, 8, 11, 14, 14
  5. 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.

  1. A data set runs from a least value of 12 to a greatest value of 30. What is the range?
    • 12
    • 18
    • 21
    • 30
  2. On a box plot, Q1 = 20 and Q3 = 36. What is the interquartile range?
    • 16
    • 28
    • 36
    • 56
  3. Which measure of spread uses ONLY the middle half of the data?
    • The interquartile range
    • The range
    • The median
    • The mode

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.

  1. A box plot shows: least 68, Q1 75.5, median 83.5, Q3 88, greatest 94. What are the range and the IQR?
    • Range 12.5, IQR 26
    • Range 20, IQR 12.5
    • Range 26, IQR 12.5
    • Range 26, IQR 83.5
  2. Match each value from the history test data (68, 70, 73, 74, 75, 76, 77, 80, 82, 83, 84, 85, 86, 86, 88, 88, 90, 90, 93, 94) with what it is.
  3. Team A's salaries have a range of $14M and an IQR of $7M. Team B's have a range of $7M and an IQR of $2.5M. Both teams have the same median salary. What does this tell a player?
    • Team B pays more overall
    • Team B's salaries cluster much more tightly around the median
    • Team A has more players
    • Team B's highest salary is greater
  4. What is the best next move?
    • Subtract Q1 from Q3: 22 − 11.
    • Subtract the minimum from the maximum: 26 − 8.
    • Find the median of all seven heights.
    • Add Q1 and Q3: 11 + 22.

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.

  1. 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.

  1. What is the range of Class A's scores?
    • 13 points
    • 28 points
    • 81 points
    • 90 points
  2. What is the interquartile range of Class B's scores?
    • 8 points
    • 14 points
    • 20 points
    • 81 points
  3. Both classes have a median of 81. What do the smaller range and smaller IQR tell you about Class B?
    • Class B's best score was higher
    • Class B had fewer students
    • Class B's median is actually larger
    • Class B's scores are less spread out, so more students scored near the median