Answers TX-Advanced Quantitative ReasoningWeighted Averages

Weighted Averages — Unit test Answers

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Eighty members of a bike club were asked whether they like touring bikes and whether they like mountain bikes. A total of 70 like touring bikes, 47 like mountain bikes, and 5 do not like either. What are the correct values of a, b, c, d, and e?

a = 42, b = 28, c = 33, d = 5, e = 10

a = 42, b = 5, c = 28, d = 33, e = 10

a = 5, b = 42, c = 28, d = 10, e = 33

a = 5, b = 10, c = 28, d = 33, e = 42

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The histogram represents the distributions of rain amounts in two cities. Which best explains how the histogram is useful for comparing the shapes of the data sets?

It is easier to visually compare the means of the data.

It is easier to visually compare the standard deviations of the data.

It is easier to visually compare the medians of the data.

It is easier to visually compare symmetry and skew of the data.

The data set represents the number of snails that each person counted on a walk after a rainstorm.12, 13, 22, 16, 6, 10, 13, 14, 12What is the outlier of the data?

A number line going from 1 to 13. 1 dot is above 1. 3 dots are above 2. 1 dot is above 3. 3 dots are above 4. 1 dot is above 5. 0 dots are above the remaining numbers.

The mean will increase, and the median will stay the same.

The median will increase, and the mean will stay the same.

The mean will increase more than the median, but both will increase.

The median will increase more than the mean, but both will increase.

The graph shows a distribution of data.

The data has a standard deviation of 0.1.

The mean of the data is greater than 0.5.

A value of 0.7 is within 1 standard deviation of the mean.

A value of 0.9 is more than 2 standard deviations from the mean.

The frequency table shows a set of data collected by a doctor for adult patients who were diagnosed with a strain of influenza. Which dot plot could represent the same data as the frequency table?

A number line going from 25 to 45. There is 1 dot above 26, 28, 29, 33, 39, 44. There are 2 dots above 31, 35, 36, 38. There are 3 dots above 41.

A number line going from 25 to 45. There is 1 dot above 26, 28, 29, 33, 44. There are 2 dots above 30, 35, 38. There are 3 dots above 32, 40.

A number line going from 25 to 45. There is 1 dot above 26, 31, 33, 34, 41, 44. There are 2 dots above 30, 35, 37. There are 3 dots above 32, 40.

A number line going from 25 to 45. There is 1 dot above 26, 27, 33, 40, 44. There are 2 dots above 29, 30, 32, 35, 38, 45. There are 3 dots above 39.

A group of 120 people were asked whether their income level is above or below $25,000 and whether they subscribe to a movie channel. The data from the survey is shown in the Venn diagram. Use the Venn diagram to find the missing values in the frequency table.

a = 18, b = 34, c = 65

a = 34, b = 18, c = 68

a = 34, b = 68, c = 47

a = 47, b = 18, c = 68

The frequency table shows the results of a survey comparing weekly gasoline costs to the average number of miles a car can drive on a gallon of gasoline.Marcel converts the frequency table to a conditional relative frequency table by row.Which value should he use for Y? Round to the nearest hundredth.

0.19

0.45

0.82

0.90

Yolanda wanted to see if there was a connection between red hair and green eyes. She observed people walking past her on the street and noted their hair and eye color.Red Hair Green eyes: 18 Eye color other than green: 29Hair Color Other Than Red Green eyes: 114 Eye color other than green: 650Consider the relative frequency table.

x = 14%

x = 15%

x = 16%

x = 18%

The box plot represents the number of math problems on the quizzes for an algebra course.What is the range of the data?

Garth is packing boxes with books. The list shows how many books are in each of 10 boxes.6, 14, 6, 18, 9, 9, 12, 10, 11, 15 Which statement is true about the number of books packed to a box?

The median number of books to a box is 8.

The median number of books to a box is 9.

The mean number of books to a box is 11.

The mean number of books to a box is 12.

The data set represents the number of minutes Dan spent on his homework each night.30, 35, 35, 45, 46, 46, 52, 55, 57Which box plot correctly represents the data?

A number line goes from 30 to 58. The whiskers range from 30 to 57, and the box ranges from 35 to 53. A line divides the box at 46.

A number line goes from 30 to 58. The whiskers range from 30 to 57, and the box ranges from 35 to 52. A line divides the box at 46.

A number line goes from 30 to 58. The whiskers range from 30 to 57, and the box ranges from 35 to 55. A line divides the box at 46.

A number line goes from 30 to 58. The whiskers range from 30 to 57, and the box ranges from 35 to 55. A line divides the box at 45.

The mean score on a physics test was 75 points. Amy’s score was 67 points, which was 2 standard deviations below the mean.

The table shows the results of a survey of 400 random people on whether they like liquid soap, bar soap, or both. Which is the marginal relative frequency for the people who do not like bar soap?