The Mean as a Balance Point
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The Mean as a Balance Point
The mean as a balance point for Grade 6: two data sets whose distances below and above the mean add to the same total, then four changes (a value added, removed, or changed) and what each does to the mean, median, mode, or range. With an answer key.
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- Pages
- 1
- Last updated
- Time
- About 20 minutes
- Answer key
- Included
- Printing
- Black and white
- Related curriculum
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Find the mean, median, mode and range of a data set, the quartiles and interquartile range, and the mean absolute deviation, and read and make dot plots, histograms and box plots.
Reviewed by Mr. Daniel Carter, Teacher. How we check worksheets
How to use this sheet
- Have the child put the data in order from least to greatest first, for every question.
- Write each measure with its label, so mean, median and mode are not mixed up.
- Ask which measure best describes the data, and why, when there is an outlier.
Common mistakes
- Finding the median without putting the data in order first.
- For an even number of values, choosing one of the two middle values instead of the mean of both.
- Mixing up the mean and the median.
- Thinking the mode is the biggest value. It is the value that appears most often.