Introductory Social Statistics IMPORTANT INSTRUCTIONS: | show statistical formula used, process of computation, and provide meaningful interpretations of results in full sentences. Any table have to be labeled appropriately (c.g., title and column). Columns in a table should be meaningfully labeled in concise words and with statistical symbols. • Calculations could be rounded up to nearest two decimal points • Assessment of answers will include producing a neat work, clear interpretation or reasoning, and statistical correctness. Questions A The following are the test scores of students in a 200-level statistics course: 66 89 47 63 40 51 62 80 60 97 48 64 67 97 60 67 81 64 74 38 69 50 59 80 57 33 47 72 68 91 74 47 73 50 52 43 54 98 54 63 79 33 51 54 60 44 82 43 32 48 46 57 47 92 72 87 71 79 84 41 40 58 44 61 38 92 71 41 83 84 4) What score did the students reccive on average? Show statistical formula and process of calculation. 5) What score did almost half of the students receive? Show statistical formula and process of calculation. 6) Draw a grouped frequency distribution table providing necessary statistical information (c.g., mid-points, frequencies, relative frequencies and percent, cumulative frequencies and percent, total frequencies or N, and total scores (EMi()]. Explain how you would make a decision to determine the class size or class limits. | 7) Calculate the mean from the grouped data. Show statistical formula and process of calculation. How different is this mean from the average calculated from the ungrouped data? | 8) If you were asked to draw a chart or graph, which one would you to choose from histogram, pie, or line chart to visually show the trends in the test scores? Why?|
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
Please give emphasis to ONLY steps 7 and 8! And please show tables in addition to showing your work?
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