Graded HW 2 F23

MATH1203 Graded HW 2 Fall 2023 In this assignment you will be working with some of the concepts in sections 3.3 & 3.4. 1. For the variable Number of Children (GSS 2008 data) do the following: a) Use StatCrunch to find the range and standard deviation. Insert an image of the “Summary Stats” boxes that you create. b) Use StatCrunch to find the Five-number summary. Insert an image of the “Summary Stats” boxes that you create. c) State the IQR d) Use StatCrunch to create a boxplot for the data. Insert an image of the boxplot. e) Discussion: Is there something surprising about the boxplot? Create a frequency distribution for the variable, including the cumulative relative frequency column (insert image), and explain why the boxplot has this surprising characteristic. 2. For the variable Age When First Child Born (GSS 2008 data) do the following: a) Use StatCrunch to find the range and standard deviation. Insert an image of the “Summary Stats” boxes that you create. b) Use StatCrunch to find the Five-number summary. Insert an image of the “Summary Stats” boxes that you create. c) State the IQR d) Use StatCrunch to create a boxplot for the data. Insert an image of the boxplot. e) Discussion: Looking at the boxplot, what are the outliers? (Remember, hovering on the graph on an outlier will show you the value of the outlier.) By hand , use the IQR to determine the values beyond which any data observation would be deemed an outlier. Does this agree with the outliers shown in the boxplot? Explain, and show your work (either write or type the work into your HW document). 3. Consider the data: 7 8 14 18 18 19 19 20 21 21 22 23 25 29 30 a) By hand, find the five-number summary. State the values in order! Show your work. b) By hand , use the IQR to determine the values beyond which any data observation would be deemed an outlier. Show your work. Do we have outliers? c) By hand, sketch a boxplot for the data.