Unit 1 Module 4 Homework from Text.docx
pdf
keyboard_arrow_up
School
Cerritos College *
*We aren’t endorsed by this school
Course
112
Subject
Mathematics
Date
Apr 3, 2024
Type
Pages
7
Uploaded by LieutenantTapir300
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
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
- Access to all documents
- Unlimited textbook solutions
- 24/7 expert homework help
4 5. Given the picture or data set below, decide which measure of center and which measure of spread is best and give your best approximation for each of their values. 6. Now find the data for #5 above in our group on StatCrunch and use the “Stat Summary” command to find the exact values of the measures of center and spread for parts a) - c), e), and f). How did your approximations compare?
5 For questions 7 – 9, be able to do the calculations both by hand and with StatCrunch. 7. The list at right represents the number of paid vacation days required by law for different countries. a) Find the mean and interpret it in context of the data. b) Find the standard deviation and interpret it in context of the data. c) Which number of days is farthest from the mean, and therefore contributes most to the standard deviation? 8. The list at right represents the number of children for the first six “first ladies” of the United States. a) Find the mean and interpret it in context of the data. b) Find the standard deviation and interpret it in context of the data. c) Which of the ladies here had the number of children that is farthest from the mean, and therefore contributes most to the standard deviation? 9. The ten top-grossing Pixar animated movies in the US up to June 2013 are shown in the table, in millions of dollars. a) Sort the data and find the median. Interpret the median in context of the data. b) Using the sorted data, find Q1 and Q3, then find the IQR. Interpret the IQR in context of the data.
6 10. The dot plot shows the weights, to the nearest quarter kilogram, of 20 newborns. Describe the distribution of the weights, then interpret what that tells you in context of the data. 11. The histogram on the right shows the distribution of heights (in meters) for the 50 tallest buildings in the United States. Describe the distribution of the heights, then interpret what that tells you in context of the data. 12. The histogram shows the number of hours of sleep Akecheta got for 50 days. Describe the distribution of hours of sleep, then interpret what that tells you in context of the data.
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
- Access to all documents
- Unlimited textbook solutions
- 24/7 expert homework help
7 13. The graphs show the circumference of heads for a group of men and a group of women. a) If you were describing the men’s head in terms of shape, center, and spread, without comparing them to the women’s heads, would you use the mean and standard deviation or median and IQR? Why? b) If you were describing the women’s head in terms of shape, center, and spread, without comparing them to the men’s heads, would you use the mean and standard deviation or median and IQR? Why? c) If you were comparing the two groups, which measures of center and spread would you use and why? d) In which of the two data sets would the mean and the median be close together? Why? e) In which of the two data sets would the mean and the median be farther apart, and which would be larger? 14. The histograms show the number of pairs of shoes reported for 300 males and 300 females. Descriptive statistics are also shown in the table below. a) Which graph corresponds to males, and which to females? b) Because of the shapes, which measure of center should be compared, the means, medians, or modes? c) Because of the shapes, which measure of spread is preferred, the standard deviation or the interquartile range? d) Compare the distributions using shape, center, and spread in context.