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Measures of Center. MAFS.7.SP.2.3 Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the centers by expressing it as a multiple of a measure of variability.

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measures of center

Measures of Center

MAFS.7.SP.2.3 Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the centers by expressing it as a multiple of a measure of variability.

do 5 th graders and 7 th graders spend the same amount of time studying math
Do 5th graders and 7th graders spend the same amount of time studying math?
  • In this lesson you will learn to compare two data sets by looking at their means and mean absolute deviations.

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slide3

Mean – the sum of a set of numbers divided by the number of elements in the set. Also known as average.

https://www.google.com/search?q=mean+median+mode+clip+art&rlz=1C1FLDB_enUS514&espv=2&biw=994&bih=611&tbm=isch&imgil=Nr11A8HHfg39dM%253A%253Bhttps%253A%252F%252Fencrypted-tbn1.gstatic.com%252Fimages%253Fq%253Dtbn%253AANd9GcTKv2IPwbIZGTzWpNcq3_01yh4n2QbDFtKB77bmRVLr5p1B_4Sbvw%253B596%253B413%253Bcb7wjLs050jcTM%253Bhttp%25253A%25252F%25252Fserchomeschool.wordpress.com%25252F2014%25252F01%25252F02%25252Fmean-median-and-mode-science-and-math-in-action-pre-class-materials-class-3%25252F&source=iu&usg=__wj6cesAm8nHquDRb2AoBrk-iT-4%3D&sa=X&ei=rpOpU429N8LJsQSlq4LwBQ&ved=0CB8Q9QEwAA

mean absolute deviation
Mean Absolute Deviation
  • The average distance between each data point and the mean.

http://www.toondoo.com//public/s/p/a/sparks783/toons/cool-cartoon-7697563.png

slide6

Mean

480

10 = 48 minutes

Mean Absolute Deviation

204

10 = 20.4 minutes

20.4 minutes is the average distance away from the mean.

slide7

Mean

1290

10 = 129 minutes

Mean Absolute Deviation

288

10 = 28.8 minutes

slide8

MAD – what does it mean?

The higher the MAD, the greater variability there is in the data (variability is how spread out or how clustered a group of data is).

High variability means the data is really spread out.

Low variability means the data is really close together.

How does this apply to our data?