The five-number summary for midterm scores (number of points; the ...

[amal]

The five-number summary for midterm scores (number of points; the maximum possible score was 50 points) from an intro stats class is:
 
  Min Q1 Median Q3 Max
  16.5 32 39 43.5 48.5
  a. Would you expect the mean midterm score of all students who took the midterm to be higher or lower than the median? Explain.
  b. Based on the five-number summary, are any of the midterm scores outliers? Explain.

Question 2

On Monday, a class of students took a big test, and the highest score was 92. The next day, a student who had been absent made up the test, scoring 100.
 
  Indicate whether adding that student's score to the rest of the data made each of these summary statistics increase, decrease, or stay about the same:
  a. mean
  b. median
  c. range
  d. IQR
  e. standard deviation

[amy.lauersdorf90]

Answer to Question 1

a. The mean midterm scores of all students would probably be lower than the median. Using the 5-number summary, it appears that the data are skewed to the left.
b. IQR = 43.5 - 32 =11.5
Q1 - 1.5IQR = 32 - 1.5(11.

Answer to Question 2

a. mean increase
b. median same
c. range increase
d. IQR same
e. standard deviation increase

[amal]

Thanks

[amy.lauersdorf90]

Welcome