Question 1

Which sampling technique is used when every 5th car coming off an assembly line is checked for defects?

Accepted Answer

Systematic sampling

Question 2

Refer to the pie chart provided. What is wrong with this pie chart?

Accepted Answer

The percentages add up to more than 100%.

Question 3

Given the frequency table provided, what is the modal class?

Accepted Answer

$$160-165$$

Question 4

What is the class width of the third class in the frequency table?

Accepted Answer

$$5$$

Question 5

Which of the following graphs is most appropriate for displaying qualitative data such as eye color?

Accepted Answer

Bar graph

Question 6

A real estate agent collects the following home sale prices: $$300,000$$, $$310,000$$, $$330,000$$, $$350,000$$, $$2,500,000. $$Which measure of central tendency best represents the typical home price?

Accepted Answer

Median, because it is not affected by extreme values.

Question 7

Given the following salaries (in thousands): $$500$$, $$150$$, $$100$$, $$40$$, $$25$$, what is the mean salary?

Accepted Answer

$$163$$

Question 8

If the president's salary is removed from the previous data set, which measure changes the most?

Accepted Answer

Mean

Question 9

Which histogram (A, B, C, or D) would you expect to have the highest standard deviation?

Accepted Answer

Histogram D

Question 10

Which histogram would you expect to have a standard deviation of $$0$$?

Accepted Answer

Histogram A

Question 11

How do you calculate the total of all data points if you know the mean and the number of points?

Accepted Answer

Multiply the mean and number of points

Question 12

If the mean weight of $$32$$ students is $$98.3 lb$$, what is their total weight?

Accepted Answer

$$3145.6 lb$$

Question 13

Mike's history average is weighted: quizzes $$20\%$$, exams $$35\%$$, term paper $$45\%. If $$his quiz average is $$82$$, exam average is $$90$$, and term paper is $$60$$, what is his class average?

Accepted Answer

$$74.9$$

Question 14

Which of the following is a tautology?

Accepted Answer

$$p \vee \sim p$$

Question 15

If $$p is $$true, $$q is $$false, and $$r is $$true, what is the truth value of $$(p \wedge \sim q) \vee r$$?

Accepted Answer

True

Question 16

What is the negation of the statement: 'All Hufflepuffs are kind'?

Accepted Answer

Some Hufflepuffs are not kind.

Question 17

Which sampling method is best for ensuring all subgroups are represented in a survey?

Accepted Answer

Stratified sampling

Question 18

Which display has bars that touch?

Accepted Answer

Histogram

Question 19

If a data set has a standard deviation of $$0$$, what does this indicate about the data?

Accepted Answer

All data points are the same.

College Algebra Study Guidance: Statistics, Data, and Logic

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