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Grade 6 McGraw Hill Glencoe - Answer Keys
Chapter 11:Statistical Measures;Lesson 3:Measures of Variations
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Question 6 (request help)
Use MathTools The double stem-and-leaf plot, where thestem is in the middle and the leaves are on either side, showsthe high temperatures for two cities in the same week. Use themeasures of variation to describe the data in the stem-and-leaf plot.
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H.O.T. ProblemsHigher Order Thinking
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Find the Error Hiroshi was finding the measures of variation of thefollowing set of data: 89, 93,99, 110, 128, 135, 144, 152, and 159. Find hismistake and correct it.
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Question 8 (request help)
Reason Abstractly Create a list of data with at least six numbers thathas an interquartile range of 15 and two outliers.
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Persevere with Problems How is finding the first and third quartilessimilar to finding the median?
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Question 10 (request help)
Reason Inductively Explain why the median is not affected by veryhigh or very low values in the data.
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Question 11 (request help)
Reason Inductively Determine the range and IQR ofeach data set. Which measure of variation tells you moreabout the distribution of the data values? Explain.
The 3 most common measures of central tendency are the mean, median and mode. The mode is the most frequent value. The median is the middle number in an ordered data set. The mean is the sum of all values divided by the total number of values.
Given a point (a,b), it is possible to solve a direct variation about this point. Firstly, find the constant of variation k which is k=a/b.Then, substitute this into the direct variation equation y=kx. Now that the equation is known, it is possible to find other points that satisfy the equation.
There are four frequently used measures of variability: the range, interquartile range, variance, and standard deviation. In the next few paragraphs, we will look at each of these four measures of variability in more detail.
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