Please help to solve these three MCQs.

Detailed steps or explanations are required.

Thanks!

11. You are interested to examine how various factors affect students' Science performance. To this end, you will examine data from the Trends in International Mathematics and Science Study. This is a large-scale international survey in which Singapore Schools were part of. The stata data file timss.dta, which you will find in LumiNUS (under Files -> Homework -> Homework 1) contains data on student performance in the science test and a variety of student characteristics for a random sample of 3,743 students from Singapore. The variables in the dataset as defined as follows: science_scr is the student's science test score which has been standardized, outhours is the out-ofschool study time per week (in hours), male is a binary variable equal to 1 if the student is male and equal to 0 if female, foreign_bom_student is a binary variable equal to 1 if the student is born outside Singapore and equal to 0 if the student was born in Singapore, englishhomelang is a binary variable equal to 1 if the student speaks English at home and 0 if the student does not speak English at home, age_in_months is the age of the student in months, father_high_educ is a binary variable equal to 1 if the student's father has a tertiary education and 0 otherwise. Use this dataset to answer questions 10 to 20. What is the standard deviation of Science test scores for this sample of students? (1 mark) 14.2 -9.5 x 10'10 0.496 12. What is the average out-of-school study time per week? (1 mark) 12.7 hours 14.2 hours 70 hours 21.8 hours 13_ What is the percentage of students in the sample who have a father with a tertiary education? (1 mark) 12.7% There is insufficient information provided to tell 49.6% / 50.1% 44.0%