Measures of Center and Variation

Measures of center and variation (Medidas de centro y variación)

By Ms. Cole

The measures of center is a value that attempts to describe a set of data by identifying the central position of the data set

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(Las medidas del centro es un valor que intenta describir un conjunto de datos mediante la identificación de la posición central del conjunto de datos​)

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Measures of Center

(Medidas de Centro)​

Mean (Medio)

​The average of the data (el promedio de los datos)

To find the average - find the sum of all of the data points and divide by the number of data points.​

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(Para encontrar el promedio, encuentre la suma de todos los puntos de datos y divídala por la cantidad de puntos de datos.​)

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1. Suma todos los números

2. Divide la suma por el número de valores

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Finding the mean -

​(Encontrar el medio)

Multiple Choice

Find the mean.
90, 100, 95, 85, 60, 80

• 85
• 84
• 86
• 90

Multiple Choice

The number of pages that Carolyn wrote in her journal each day from Monday to Friday is shown below: 
9, 8, 12, 6, 10
What is the mean number of pages she wrote per day?

• 5
• 6
• 9
• 11

Multiple Choice

What is the mean?

• The number that occurs the most

• The number in the middle

• The difference between the highest and lowest values

• The Average

​The "middle" of a sorted list of numbers.

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(El "medio" de una lista ordenada de números.​)

Median (Mediana)

When the number of data points is odd:

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The median is the middle value.​

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Finding the Median - (encontrando la mediana)​

Cuando el número de puntos de datos es impar:

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La mediana es el valor medio.

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Multiple Choice

Find the median for the set of numbers:

85, 42, 64, 71, 39, 56, 26

• 71

• 42

• 56

• 60

Multiple Choice

Find the median for the set of numbers:

85, 42, 64, 71, 39, 56, 26

• 71

• 42

• 56

• 60

Multiple Choice

Find the median for the set of numbers:

85, 42, 64, 71, 39, 56, 26

• 71

• 42

• 56

• 60

Multiple Choice

Find the median for the set of numbers:

41, 13, 21, 83, 54, 37, 18, 66, 72

• 44

• 37

• 54

• 41

Multiple Choice

Find the median for the set of numbers:

60, 52, 11, 29, 46, 9, 33

• 39

• 33

• 29

• 46

When the number of data points is even.

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1) put the data points in ascending order

2) find the 2 middle numbers

3) find the average of the two values to get the median.​

Finding median continued:

(Encontrar la mediana continuación:)

Cuando el número de puntos de datos es par.

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1) poner los puntos de datos en orden ascendente

2) encontrar los 2 números del medio

3) encuentre el promedio de los dos valores para obtener la mediana.

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Multiple Choice

Find the median for the set of numbers:

23, 37, 11, 58, 13, 45

• 30

• 23

• 37

• 28

Multiple Choice

Find the median for the set of numbers:

53, 22, 76, 46, 68, 32, 15, 29

• 32

• 41

• 39

• 46

Multiple Choice

Find the median for the set of numbers:

17, 24, 8, 19, 6, 34, 10, 28, 48, 12

• 17

• 19

• 18

• 20

The number​ is the number that appears most often.

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(El número es el número que aparece con más frecuencia.​

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Mode:

(Modo):​

Multiple Choice

At Donald's Donuts the number of donut holes in a bag can vary. Help Donald find the MODE.

12,10,10,10,13,12,11,13,10

• 10

• 12

• 10 and 12

• No Mode

Multiple Choice

The mode score on the 6th grade math test was 94! Which of these interpretations must be correct?

• 99 was the highest score on the test.
• More students received a 94 than any other score
• No student scored below a 50
• A score of 91 was slightly below average.

Multiple Choice

The scores awarded to 25 students for an assignment were as follows:
4  7  5  9  8  6  7  7  8  5  6  9  8    5  8  7  4  7  3  6  8  9  7  6  9
What is  the mode?

• 6
• 7
• 8
• 9

Summary (resumen)

Measures of Center: (medidas del centro)

Aims to provide an accurate description of the entire data in the distribution. There are 3 ways to describe data in this way - mean, median, mode.

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(Tiene como objetivo proporcionar una descripción precisa de todos los datos en la distribución. Hay 3 formas de describir los datos de esta manera: media, mediana, moda.​)

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