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Course Guide - USAID Teacher Education Project

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Perhaps in students' name length data there are two other stacks/bars of the sameheight—but not as high as the single tallest one, such as in the graph below.This does not mean that the two shorter stacks (with a frequency of 1 and 3) are themodes. Although 1 and 3 each occur twice on the histogram, they have a lowerfrequency than the highest frequency (represented by the tallest bar) at 10. In thiscase the mode is 10.Loretta, Can you delete “DEPTH”?For someone with a very long name, it is likely that the line plot and bar graph willshow a very short stack or bar. Students may wonder why, if a name is so long, itsstack or bar is so short.This is an opportunity to clarify that the height of stack or bar does not represent namelength. Rather, it represents the number of people with a particular name length. Thisis called frequency because it shows how frequently a particular number occurs in thedata set.Thus, a long 20-letter name may have a frequency (bar height) of 1, while a 12-lettername may be more typical of the data set and occur 8 times (and have a bar height of8).d) To introduce the concept of the median, define it as the value halfway from eachend of the data set. Provide a short data set with an odd number of entries such as: 2,2, 3, 5, 7, 8, 9.Because there are an odd number of entries, the median can be found by counting offa pair of numbers, one from each end, until the single middle value is reached. Askstudents how they might describe the mean to youngsters (e.g., half the numbers areto the left of the median, the other half are to its right).Next, have the students write the numbers (which are already in ascending order) in a

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