ModelingSpreadofData_worksheet

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DHA Suffa University, Karachi *

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INORGANIC

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Statistics

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Nov 24, 2024

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pdf

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Name: ___________________________ Continue on the following page. Directions: Graph the following linear inequalities. 1. Answer questions ( a – e ) for the following set of data. 3, 9, 10, 5, 8, 5, 9, 11, 10, 3, 10 a. Find the mean of the data. b. Find the median of the data. c. Find the mode of the data. d. Find the range of the data. Modeling Spread of Data e. Find the standard deviation of the data.

Continue on the following page. 2. Answer questions ( a – d ) for the following three data sets. A = {3, 5, 7, 9, 11, 12, 12} B = {1, 2, 2, 5, 5, 9, 13} C = {2, 5, 8, 9, 12, 13, 17} a. Find the mean of each data set. b. Find the standard deviation of each data set. c. Identify the data set with the largest and smallest standard deviation. d. Explain what the standard deviations say about the data sets.

Continue on the following page. 3. You have a statistics project due in your math class. As part of the project for one hour you count how many shoppers at your favorite store are between the ages of 21 and 25. Your frequency table is below. Use this table to answer questions ( a – c ). Ages 21 22 23 24 25 Frequency 2 5 3 7 10 a. Find the mean of the data. b. Find the standard deviation of the data. c. Explain what the mean and standard deviation tell you about the data you collected.

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Continue on the following page. 4. Mrs. Sparks is a 9th grade Algebra 1 teacher. She teaches three Algebra 1 courses and all the classes recently took a chapter exam. Below are the scores. Class 1 45 68 77 90 90 95 100 100 86 90 50 55 Class 2 64 65 70 40 100 87 84 88 90 90 95 80 Class 3 70 75 75 90 100 80 55 65 76 80 88 99 a. Find the mean, median, mode and range of Class 1 . b. Find the mean, median, mode and range of Class 2 . c. Find the mean, median, mode and range of Class 3 .

d. Find the standard deviation of Class 1 . e. Find the standard deviation of Class 2 . f. Find the standard deviation of Class 3 . g. Which class had a higher standard deviation and what does that mean? h. In your opinion, which class did better on the exam? Explain your answer.

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