Q: If Mike's history average is weighted as follows: quizzes $$20\%$$, exams $$35\%$$, term paper $$45\%$$, and he has an $$82$$ quiz average, $$90$$ exam average, and $$60 on $$his term paper, what is his class average?

$$0.2 \times 82 + 0.35 \times 90 + 0.45 \times 60 = 72.7$$

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 for each interval?

Accepted Answer

$$5$$

Question 4

For the frequency table (Image 2), what is the modal class?

Accepted Answer

$$160-165$$

Question 5

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

Accepted Answer

Image 6

Question 6

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

Accepted Answer

Image 3

Question 7

Which measure of central tendency is most appropriate for the following home prices: $$300,000$$, $$310,000$$, $$330,000$$, $$350,000$$, $$2,500,000$$?

Accepted Answer

Median, because it is not affected by outliers.

Question 8

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 9

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 the mean of all five scores?

Accepted Answer

$$80$$

Question 10

Mike has taken $$5$$ exams. On the first $$4$$ tests, his mean score was $$80. $$After the $$5th $$test, his mean was $$82. $$What did he make on the $$5th $$exam?

Accepted Answer

$$90$$

Question 11

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

Accepted Answer

$$0.2 	imes 82 + 0.35 	imes 90 + 0.45 	imes 60 = 72.7$$

Question 12

Which of the following is a true statement about histograms and bar graphs?

Accepted Answer

Histograms have bars that touch.

Question 13

What is the formula for the standard deviation $$s of a $$sample data set $$x_1$$, $$x_2$$, ..., x_n$$ with mean $$\overline{x}$$?

Accepted Answer

$$s = \sqrt{\frac{\sum_{i=1}^n (x_i - \overline{x})^2$}{n-1}}$$

Question 14

Which of the following is the correct negation of the statement: 'All Hufflepuffs are kind'?

Accepted Answer

Some Hufflepuffs are not kind.

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

A tautology is:

Accepted Answer

Always true

Question 17

Which of the following is logically equivalent to $$\sim (p \wedge q)$$?

Accepted Answer

$$\sim p \vee \sim q$$

College Algebra & Statistics Final Review – Step-by-Step Study Guidance

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