Homework # 5 - MATH 2227
The problems on this homework must be done alone. The honor code is in effect.
First name: Last name:
For questions 1 and 2, use the following information: 50,000 students took a standardized test. A score of 87 puts a student in the 75th percentile.
1. Approximately how many students scored above an 87?
a. 10,000
b. 12,500
c. 25,000
d. 37,500
d. 50,000
2. The median score is
a. below 87
b. between 87 and 90
c. between 87 and 100
3. If the five number summary for a set of data is 13.8, 15.9, 19.7, 25.5, 33.9
a. the data is symmetric and mound shaped
b. the data is skewed to the left
c. the data is skewed to the right
d. the data is uniform
4. For data set B, the mean is larger and the standard deviation is smaller than they are for data set A.
a. the CV is larger in data set B
b. the CV is larger in data set A
c. the CV for the two data sets are equal
d. it's impossible to compare the CVs from the given information
5. For data set B, both the mean and the standard deviation are larger than they are for data set A.
6. According to Chebyshev's theorem, is it possible that for a given set of data, 85\% of the data is within 2.5 standard deviations of the mean?
a. yes this is possible
b. no, this is impossible
7. According to Chebyshev's theorem, is it possible that for a given set of data, 80\% of the data is within 2.5 standard deviations of the mean?