Q: If Mike's quiz average is $$82$$, exam average is $$90$$, and term paper is $$60$$, with weights $$20\%$$, $$35\%$$, and $$45\%$$ respectively, what is his class average?

$$82 \times 0.2 + 90 \times 0.35 + 60 \times 0.45 = 74.9$$

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

What is wrong with the pie chart shown (Image 1)?

Accepted Answer

The percentages add up to more than 100%.

Question 3

Given the frequency table (Image 2), what is the class width?

Accepted Answer

$$5$$

Question 4

Which histogram (Images 3-6) would you expect to have the highest standard deviation?

Accepted Answer

Image 6

Question 5

Which histogram (Images 3-6) would you expect to have a standard deviation of $$0$$?

Accepted Answer

Image 3

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 outliers.

Question 7

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

Accepted Answer

$$98.3 	imes 32$$

Question 8

Julie has taken $$5$$ tests. On the first $$3$$ tests, her mean score was $$70. On $$the last $$2$$ tests, her mean score was $$90. $$What is her mean score for all $$5$$ tests?

Accepted Answer

$$80$$

Question 9

Which of the following is a statement?

Accepted Answer

The word dog has three letters.

Question 10

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

Accepted Answer

Some Hufflepuffs are not kind.

Question 11

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 12

A tautology is:

Accepted Answer

Always true

Question 13

Which sampling method is used when you randomly sample people in each age group?

Accepted Answer

Stratified sampling

Question 14

Which type of graph is best for displaying qualitative data such as eye color?

Accepted Answer

Bar graph

Question 15

Given the frequency table (Image 2), what is the cumulative frequency for the class interval $$160-165$$?

Accepted Answer

$$35$$

Question 16

Which of the following is true about histograms?

Accepted Answer

Their bars touch each other.

Question 17

If Mike's quiz average is $$82$$, exam average is $$90$$, and term paper is $$60$$, with weights $$20\%$$, $$35\%$$, and $$45\%$$ respectively, what is his class average?

Accepted Answer

$$82 	imes 0.2 + 90 	imes 0.35 + 60 	imes 0.45 = 74.9$$

Question 18

Which of the following is the correct symbolic form for: 'Mr. Hart did not get his car started and he was late for class'?

Accepted Answer

$$\sim p \wedge q$$

Question 19

If you know the mean and the number of data points, how do you calculate the total of all data points?

Accepted Answer

Multiply the mean and the number of points

Question 20

Which of the following is a self-contradiction?

Accepted Answer

$$p \wedge \sim p$$

Guided Review for Math 1332 Final – Statistics, Data Analysis, and Logic

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