Algebra And Statistics For Social Justice

ETHS 116/117 Homework 2: Covers Chapter 3 General Note: If you have any trouble understanding anything in this assignment, please do not hesitate to ask. You are more than welcome to ask any type of clarification questions, even about what specific words mean! Math Note: There are bunch of numbers in this homework. Please be careful (double check) your math and calculator operations! Data Set A Background (For Question 4): According to the food and drug administration (FDA), markets can be rated on whether they provide a significant amount of healthy food or not. This number is represented as the number of stores out of 100 stores that carry healthy food. So, if a neighborhood has a rating of 54, this means that 54 out of every 100 markets in that neighborhood carry healthy food as defined by the FDA. Below is data showing information on markets for 26 different neighborhoods. These neighborhoods are separate as being consider High or Low income as defined by the 2010 census. Data Set A: Low Income Neighborhoods: 15, 30, 30, 21, 14, 52, 27, 28, 42, 66, 50, 33 High Income Neighborhoods: 90, 77, 84, 85, 67, 79, 60, 53, 53, 65, 58, 90, 62 Data Set B Background (For Question 5): The numbers given below represent the amount of time (in minutes) spent on social media sites each day. This is inclusive across all forms of social media and access types. This data represents a sample of 14 individuals between the ages of 16 and 36. Data Set B: Minutes Spent on Social Media per Day: 140,147,149,166,13, 197,139,133,167,105,167, 24, 177, 166 Questions are on the next page Questions: 1. [1 pt.] What does the “Mode” refer to when we are talking about central tendency? 2. [1 pt.] Please find the mode of the following sets of numbers: a. 7, 6, 3, 7, 9, 9, 12, 7 b. 1, 1, 2, 2, 1, 1, 3, 1, 3 3. [1 pt.] How does one find the median of a set of numbers? You can explain this using English? Make sure to indicate what to do if the set of numbers has an even or odd amount! 4. [2.5 pts.] Please use data set A for this question: a. Please calculate both the mean and median for both types of neighborhoods. b. Please indicate what conclusion you can make about food access based on these numbers you calculated and explain your answer (Does not need to be more than a sentence or two!). 5. [2.5 pts.] Please use data set B for the question: a. Please calculate the mean and median for the amount of time spent on social media. b. Assume the amount of time people spend on social media has a standard deviation of 30. Are there any outliers in this data? c. Would it be better to use the mean or median as a measure for central tendency for this data? Explain your answer (and remember, it does not need to be more than a couple sentences!).

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