Class 6:  SAT scores

 

Part 1: SAT scores

The Mills website facts page gives the following information about SAT scores for the entering class in 2008-2009.

SAT range 1530-1860
(middle 50%)

1.     If the Mills SAT scores are normally distributed, what is the mean and standard deviation for the scores for the entering class in 2008-2009?

2.     What percentile would a student with a score of 1800 have among this Mills entering class?

3.     The following chart gives scores and percentiles for all U.S. college bound senior women in 2008. How do these percentiles correspond to percentiles for Mills entering class?  Do the scores at Mills tend to be higher or lower than those for all U. S. college bound seniors?

 

Percentile

Score

99

2200

97

2100

94

2000

89

1900

82

1800

78

1750

74

1700

63

1600

51

1500

38

1400

16

1200

4

1000

1

800

 

4.     Suppose a college uses SAT scores as a major component of their admissions process.  Would you expect SAT scores to be normally distributed for entering students at this college?  What about for a school that doesn’t pay much attention to SAT scores?  What about Mills?

 

Part 2: Height and Weight Percentiles

Look at the chart of height percentiles by age.

1.     What is the median height for a 20 year old?

2.     Based on this chart, do you think heights are normally distributed for each age? Explain.

3.     Estimate the standard deviation for height for a 20 year old.

4.     What is the percentile for a 20 year old with a height of 5’10” (178 cm)?

5.     Why do the percentile lines go up from age 18 to 20 and down from age 30 to 70?

 

Look at the chart of weight percentiles by age.

1.     What is the median weight for a 20 year old?

2.     Based on this chart, do you think weights are normally distributed for each age?  Explain.

 

 

Journal Assignment:

1.     Read the article on SAT scores and family income from the NY Times blog.  Why do you think SAT scores go up with family income?

2.     Read the article “Kids who pick easy college often drop out”.  Do you think picking an easy college caused students to drop out at a higher rate?  If so, why?  Do you think there was an underlying factor that caused students to pick easier colleges and also caused them to drop out at higher rates?  If so, what?

 

Homework Assignment 6 for Thurs, Sept. 17: 

On blackboard

 

 

Announcements:

Thursday will be a computer lab.  Tuesday we’ll have a quiz on mean, median, standard deviation and experimental design.