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Mathematics, 28.02.2020 19:56 zitterkoph

Question #1: A dance school has 54 students who learn salsa, and 23 of those students also learn ballet. There are 15 students who do not learn salsa but learn ballet, and 10 students do not learn either salsa or ballet. Which table best shows the conditional relative frequency of rows for the data?

A.

Learn salsa Do not learn salsa Total

Learn ballet 0.29 0.19 1

Do not learn ballet 0.39 0.13 1

Total 0.68 0.32 1

B.

Learn salsa Do not learn salsa Total

Learn ballet 0.61 0.39 1

Do not learn ballet 0.76 0.24 1

Total 0.68 0.32 1

C.

Learn salsa Do not learn salsa Total

Learn ballet 0.43 0.60 1

Do not learn ballet 0.57 0.4 1

Total 0.68 0.32 1

D.

Learn salsa Do not learn salsa Total

Learn ballet 0.23 0.15 1

Do not learn ballet 0.31 0.10 1

Total 0.54 0.25 1

Question #2: The box plots show the math scores of students in two different classes:

box plot for Class A has minimum value equal to 55, lower quartile equal to 73, median equal to 75, upper quartile equal to 89 and maximum value equal to 95. Box plot for Class B has minimum value equal to 65, lower quartile equal to 70, median equal to 75, upper quartile equal to 92.5 and maximum value equal to 100

Based on the box plots, which statement is correct?

A. The median score of Class A is greater than the median score of Class B.

B. The lower quartile of Class A is greater than the lower quartile of Class B.

C. The upper quartile of Class A is greater than the upper quartile of Class B.

D. The maximum score of Class A is greater than the maximum score of Class B.

Question #3:

A study analyzed the average yearly salt intake in the United States from 2012 thru 2017. The data is summarized in the table:

Year Annual Salt Intake

(grams)

2012 3,618

2013 3,646

2014 3,680

2015 3,716

2016 3,751

2017 3,790

The study found that the data after the year 2012 can be modeled by the function f(x) = 36.4x + 3,608, where x is the number of years since 2012 and f(x) is the total amount of salt ingested in grams. Describe the significance of 3,608.

A. The average amount of salt in grams used in 2013

B. The average amount of salt in grams used in 2012

C. An estimate of the average grams of salt used in 2013

D. An estimate of the average grams of salt used in 2012

Question #4: The following data show the scores Gina obtained on 12 IQ tests:

93, 83, 74, 74, 83, 92, 93, 94, 90, 87, 83, 86

The box plot represents the data:

box plot has minimum value equal to 74, lower quartile equal to 83, median equal to 86.5, upper quartile equal to 89 and maximum value equal to 94

Which of the following is shown incorrectly in the box plot?

A. Median

B. Lower quartile

C. Upper quartile

D. Maximum value

Question #5:

Make a conditional relative frequency table for the columns of movie type. Determine which statement has the strongest association.

Do you prefer watching a comedy, a drama, or a thriller movie?

Comedy Drama Thriller Row Totals

Males 35 12 75 122

Females 46 65 18 129

Column Totals 81 77 93 251

A. Males prefer comedy movies.

B. Females prefer drama movies.

C. Males prefer thriller movies.

D. Females prefer thriller movies.

Question #6:

Given the scatter plot, choose the function that best fits the data.

scatter plot with data points that form an upward curve staring at the origin and continuing to the right

A. f(x) = 2x

B. f(x) = 2x

C. f(x) = −2x

D. f(x) = 2x2

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Answers: 3

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