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Assessment Questions

Assessment Questions. What are the measures of central tendencies that have been discussed thus far? How do you find each? Be sure to remember “leveling off” and “making even”. Mean, Median, Mode, and Range Mean - add all of the numbers and divide by how many numbers you have.

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Assessment Questions

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  1. Assessment Questions

  2. What are the measures of central tendencies that have been discussed thus far?How do you find each? Be sure to remember “leveling off” and “making even”.

  3. Mean, Median, Mode, and Range • Mean - add all of the numbers and divide by how many numbers you have. • Median - order the numbers from least to greatest then find the middle number. • Mode - determine the most frequent number. • Range – the difference between the largest number and the smallest number

  4. Which measure of central tendency (mean, median, or mode) best describes the amount in a "handful" for your group?

  5. Answers will depend on the data. • Generally, if there is a really low or really high handful compared to the rest of the data, then the median would be a better measure because it is not affected by the "outliers". • If many students had the same handful, then the mode might be the best measure. • In the absence of outliers, mean may be the best measure.

  6. What if I let a 1st grader come in and grab a handful and added his/her data to your group? What would this do to the mean? Median? Mode? Would adding this data to the group change your answer in question #1?

  7. Letting a 1st grader grab a handful would probably create an outlier. • The mean would decrease • The median would probably be unaffected • The mode would not be affected • The range would increase. • If you chose the mean as the best measure in question #1, then adding this data may change your mind to mode.

  8. Jadarius joined a group and grabbed a handful. The mean for the group (including Jadarius's handful) increased, what must be true about the number in Jadarius's handful?

  9. Justin's handful must be greater than the original mean number if the mean increased.

  10. J.J and Jaggy joined both groups and each grabbed a handful. The median for the group (including J.J. and Jaggy's data) did not change. What must be true about the number in J.J. and Jaggy's handful?

  11. Either J.J and Jaggy both grabbed a handful that was equal to the median for the group • Or one grabbed more than the median and one grabbed less, therefore not changing the median.

  12. Ideas and assessment questions retrieved on June 22, 2009 from http://mdk12.org/instruction/curriculum/hsa/algebra/goal_three/lesson5.html • Ideas taken from Dr. Jamie Cates, Professor at University of West Georgia • Ideas retrieved on June 22, 2009 from http://simon.cs.vt.edu/SoSci/Site/MMM/mmm.html -

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