# Chapter 12: Statistics and Probability

8.3_24E

If *G* is a cyclic group, prove that G/N is cyclic, where *N* is any subgroup of *G*.

f

f

Mitternachtsformel

What formula is called Mitternachtsformel (midnight formula) in German?

Q1.

Choose the word or term that best completes the sentence.

The arrangement in which order is important is called a (combination, permutation).

Q1.

Determine the probability of each event if you randomly select a cube from a bag containing 6 red cubes, 4 yellow cubes, 3 blue cubes, and 1 green cube.

*P*(red)

Q1.

Identify each sample, and suggest a population from which it was selected. Then classify the type of data collection used.

TOYS A toy company invites 50 children in to test a new toy and records the reactions.

Q1.

Which measure of central tendency best represents the data? Justify your answer. Then find the measure.

Archment High School is recycling newspapers as a fundraiser to buy some benches for the courtyard. The newspapers are gathered into 5-inch bundles. Ms. Sato counted the bundles received each Friday for the first quarter of the school year: 15,12,14,15,18,15,13,14,13,12.

Q1.

What are the excluded values of the variable in the expression $\frac{{\mathbf{x}}^{2}\mathbf{-}\mathbf{x}\mathbf{-}\mathbf{12}}{{\mathbf{x}}^{2}\mathbf{-}\mathbf{x}\mathbf{-}\mathbf{2}}$?

Q1.

Identify each sample, and determine a population from which it was selected. Then classify the type of data collection used.

A record company wants to test five designs for an album cover. They randomly invite ten teens from a local high school to view the album covers.

Q10.

Identify each sample as biased or unbiased. Explain your reasoning.

A magazine publisher asks every tenth person at a fitness expo what magazines they have in their household.