A high school administration wants to collect data onthe amount of time the students use computers. Thereare 1200 students in the school, and they have beenassigned to 40 different homerooms, 10 homeroomsper grade 9–12, with 30 students in each homeroom.The administration wants a sample of 120 students.a) Describe a method to select a simple random sampleof students.b) Describe a method to select students using a stratifiedsample.c) Describe a method to select students using a clustersample.d) Describe any advantages or disadvantages in usingthe stratified or the cluster sampling method here.
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
A high school administration wants to collect data on
the amount of time the students use computers. There
are 1200 students in the school, and they have been
assigned to 40 different homerooms, 10 homerooms
per grade 9–12, with 30 students in each homeroom.
The administration wants a sample of 120 students.
a) Describe a method to select a simple random sample
of students.
b) Describe a method to select students using a stratified
sample.
c) Describe a method to select students using a cluster
sample.
d) Describe any advantages or disadvantages in using
the stratified or the cluster sampling method here.
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