Unit 1 Module 4 Homework from Text.docx.pdf

1 Homework Unit 1 Module 4 1) The birth weights (in grams) are given for babies born to 22 mothers who smoked during their pregnancy and 35 mothers who did not smoke. Seven pounds is about 3200 grams. For each of the data sets, sketch a histogram (start at 0 grams with bin size 1000 grams) and boxplot, then answer the questions on page 2. (Copy and paste from here: https://docs.google.com/spreadsheets/d/1rwP5Cbw2aqiqYjC29IwolpHLM6Jpe- d9U6caLcR243Y/edit?usp=sharing ) Or you can copy and paste the data into Stat Crunch and paste the histograms and boxplots below from StatCrunch. Non-smokers: 3612 3640 3444 3388 3612 3080 3612 3080 3388 4368 3612 3024 2436 4788 3500 4256 3640 4256 4312 4760 2940 4060 4172 2968 2688 4200 3920 2576 2744 3864 2912 3668 3640 3864 3556 Smokers: 3276 1974 2996 2968 2968 5264 3668 3696 3556 2912 2296 1008 0896 2800 2688 3976 2688 2002 3108 2030 3304 2912 Histogram for smokers: Histogram for non-smokers:

2 a) What features of the data are prominent in the histogram that are not visible in the boxplot? b) What features of the data are prominent in the boxplot that are not visible or hard to see in the histogram? c) How do the distributions compare in terms of shape, center, and spread? 2. The boxplots at right show results of a math exam and a chemistry exam. a) What is the lowest score in the chemistry test? b) What is the highest score on the math test? c) 75% of the students who took the math test scored better than what value? d) Give two values that 50% of the students who took the chemistry exam scored between. e) Give two different values that 50% of the students who took the chemistry exam scored between. f) Compare the centers of the data. What can you observe? Write complete sentences using proper vocabulary. g) Compare the spread of the data. What can you observe? Write complete sentences using proper vocabulary.

3 3, Which of the following box-and-whisker plot(s)… Circle: a) represent a situation where 75% of the data is 200 or less? i ii iii iv b) have the largest interquartile range? What is it? i ii iii iv What is it? c) has the smallest median? What is it? i ii iii iv What is it? d) find the upper and lower outlier fences for boxplot (i). What information do these numbers give you? i. ii. iii. iv. 4. Which the following that can be determined by looking at a Box and Whisker plot: a. Leaf b. Stem c. Median d. Minimum e. Maximum f. Sample Size g. Inner Quartile Range h. Mode i. Standard deviation j. Mean k. Range l. 𝑄 1 ,𝑄 2 , and 𝑄 3

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