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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.

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Measures of Center

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  1. 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.

  2. 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. http://www.google.com/imgres?imgurl=http%3A%2F%2Fbestclipartblog.com%2Fclipart-pics%2F-math-clipart-3.gif&imgrefurl=http%3A%2F%2Fbestclipartblog.com%2F22-math-clip-art.html%2Fmath-clipart-3&h=362&w=303&tbnid=TKgA6t-bAaqTcM%3A&zoom=1&docid=0NriKZKIw9BiqM&ei=N5OpU7KZB9HQsQTgnIDYCA&tbm=isch&ved=0CFEQMygVMBU&iact=rc&uact=3&dur=4101&page=2&start=8&ndsp=17

  3. 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

  4. 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

  5. Dot Plot comparing 5th grade and 7th grade math study time

  6. Mean 480 10 = 48 minutes Mean Absolute Deviation 204 10 = 20.4 minutes 20.4 minutes is the average distance away from the mean.

  7. Mean 1290 10 = 129 minutes Mean Absolute Deviation 288 10 = 28.8 minutes

  8. 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?

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