Represent and Describe Data in a Box Plot

Grade 6 Math · Unit 2 Interactive Practice Studio (6.DS.5) · Lesson 2-4
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I can make and read a box plot to summarize a data set.Puedo hacer y leer un diagrama de caja para resumir un conjunto de datos.

MissionMisión · Corner KitchenCocina de la esquina

Cook up the right answer.Cocina la respuesta correcta.

Corner Kitchen is slammed tonight! Sort the order times into a five-number summary, draw the box, and show the head chef where the middle half of the orders lands.

¡Corner Kitchen está a tope esta noche! Ordena los tiempos de los pedidos en un resumen de cinco números, dibuja la caja y muestra a la chef principal dónde cae la mitad central de los pedidos.

Word bankBanco de palabras 5 words5 palabrasbox plot, quartile, interquartile range, …diagrama de caja, cuartil, rango intercuartílico, …
box plotdiagrama de caja
A graph that shows the five-number summary with a box and two whiskers.Una gráfica que muestra el resumen de cinco números con una caja y dos bigotes.
quartilecuartil
A value that helps split the data into four equal parts. Q1 and Q3 are quartiles.Un valor que ayuda a dividir los datos en cuatro partes iguales. Q1 y Q3 son cuartiles.
interquartile rangerango intercuartílico
The length of the box: Q3 − Q1. It shows the spread of the middle half.La longitud de la caja: Q3 − Q1. Muestra la dispersión de la mitad central.
five-number summaryresumen de cinco números
The minimum, Q1, median, Q3 and maximum of a data set.El mínimo, Q1, la mediana, Q3 y el máximo de un conjunto de datos.
whiskerbigote
The line from the box out to the least or greatest value.La línea que va de la caja hasta el valor menor o mayor.

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. Use the model's eight order times to find the five-number summary: least, Q1, median, Q3, greatest. Predict which part of a box plot will change if you change only the greatest value. Then test it and explain what stayed the same.
  2. The values 4, 6, 9, 12 and 19 are already in order. What is the median?
    • 6
    • 9
    • 10
    • 12
  3. Order these values from least to greatest: 6, 13, 4, 9 and 3. What is the median?
    • 4
    • 6
    • 7
    • 13
  4. Find the median of 4, 8, 6, 10.
    • 6
    • 7
    • 8
    • 28
  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 box plot shows: Min = 10, Q1 = 15, Median = 20, Q3 = 28, Max = 35. What is the interquartile range (IQR)?
    • 10
    • 13
    • 20
    • 25
  2. On a box plot, what does the line inside the box represent?
    • The median
    • The mean
    • The mode
    • The range
  3. What percentage of data falls between Q1 and Q3 on a box plot?
    • 25%
    • 50%
    • 75%
    • 100%

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. Fill in the table
  2. Match each box plot term to its meaning.
  3. Two box plots show: Team A has IQR = 8, Team B has IQR = 22. What does this tell you?
    • Team A's middle 50% is more consistent; Team B's is more spread out
    • Team B is a better team
    • Team A has a higher median
    • The IQRs don't tell you about consistency
  4. What is the best next move?
    • Add all nine scores and divide by 9 to place the box.
    • Draw the box from the lowest score to the highest score.
    • Subtract 90 − 52 and call the result the IQR.
    • Find the middle of the four scores below 70 to get Q1.

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 Team A's IQR?
    • 10
    • 16
    • 35
    • 60
  2. What is Team B's IQR?
    • 10
    • 16
    • 45
    • 61
  3. Is the fan right that Team B is better because of the 80-point game?
    • Yes — 80 is the highest score in the data
    • No — Team A's maximum is higher
    • Yes — the maximum always decides
    • No — one high game is a single extreme value, not typical performance