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Instructions and data for analyzing exam scores using various statistical methods. Students are required to calculate statistics such as mean, median, mode, quartiles, standard deviation, and construct various graphs including line plots, stem and leaf plots, histograms, pie charts, bar graphs, and frequency polygons. The document also includes questions related to understanding the concepts of mean, median, mode, quartiles, and standard deviation, as well as the difference between sample and population statistics.
Typology: Assignments
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WARNING: You must SHOW ALL OF YOUR WORK. You will receive NO CREDIT if you do not show your work. DUE: THURSDAY, 19 FEBRUARY 2004
(k) Find the mode. (l) Find the upper quartile. (m) Find the lower quartile. (n) Find the Inner Quartile Range. (o) Are there any outliers in this set of data? If so, what are the outliers? (p) Construct a Box and Whisker Plot for these scores. (q) Find the Standard Deviation for these scores. (r) What percent of the scores are within one standard deviation of the mean? (s) What percent of the scores are within two standard deviations of the mean? (t) What percent of the scores are within three standard deviation of the mean? (u) Draw a relative frequency histogram for this data. (That is to say, the vertical axis should denote the relative frequency of the scores, not the total number of students earning each score.) You should label the horizontal axis with 0โ9, 10โ19, 20โ29, 30โ39, 40โ49, 50โ59, 60โ69, 70โ79, 80โ89, and 90โ100. (v) What is the the total area of the columns in the relative frequency histogram. (w) Draw a frequency polygon. (x) What is the area of the shape under the frequency polygon and above the hori- zontal axis?
3 โ 4 is irrational. You may use the fact that
3 is irrational.