Question

STATI501-Elementary Biological Statistics I Assignment #1 Winter 2019 Due Friday, Feb 8,2019,at the beginning of the class Instructions: . Use appropriate notations in your answers . Show all steps of your work. Otherwise. part marks will not be given. Write neat and clear (e g. big enough and less cramped up) . Answer the questions in order AND staple their pages in order . Make a photocopy of your assignment for your record. - There are 10 questions and some of them are multiple part. Only some questions (determined after submission) may be marked. . Solutions will be posted on Nexus after the due date. - There will be no extension to the due date and late assignments will receive a zero mark. 1) For each of the following variables, indicate whether it is quantitative or qualitative and specify which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate. a) Hair color (Blonde, black, yellow, etc.) b) Head circumferences of babies born in a hospital during a year c) Level of education (high school, bachelor's degree. Master's degree. PhD) 2) The following data represent the academic average of 33 students in the Department of Mathematics and Statistics 3.49 31 2 24 3.3 25 2 2.3 26 3.1 2.5 2.1 2.9 3.0 2.7 25 2.7 25 24 30 20 26 28 2.5 2.7 2.9 3.2 2.7 2.8 2.2 2.7 2.1 3.0 a) Construct a frequency distribution table (including both frequency and relative frequency). Use 6 classes. b) Construct the corresponding histogram. d) Find the 5 number summary d) Find the interquartile range (IQR). Find outliers using IQR if there exists any e) Construct the boxplot for the above data set 10) Find the percentile Ps

Answer 1

1)(a)

Hair color is a qualitative variable. Since we cannot define ascending or descending order between colors so level is nominal.

(b)

Head circumference can be measured so it is a quantitative variable. Since zero means absences of circumference so level is ratio.

(c)

Level of education is a qualitative variable. Since we can define ascending or descending order between colors so level is ordinal.