Unit 5 Post Test: Univariate Data (Integrated Math: Q 1-14)

Match the values associated with this data set to their correct descriptions.

{6, 47, 49, 15, 43, 41, 7, 36}

first quartile -> 11

median 38.5 -> 38.5

third quartile -> 45

the difference of the largest value and the median -> 10.5

Which statement is true about a dot plot?

A dot plot shows the frequency of the individual values of any given data set.

The table shows the maximum daily temperatures, in degrees Fahrenheit, recorded in a Texas town in May.

84 86 84 88 83 85 90 84 88 84

85 83 85 84 90 84 85 85 83 85

Which data display(s) can be used to find the median of the maximum daily temperatures?

I. box plot

II. dot plot

III. histogram

I and II

The dot plot represents the scores of a group of students on an English test. If the dot plot is converted to a box plot, the first quartile would be drawn at ___, and the median would be drawn at ___.

1. NOT 4

2. NOT 5

The following list shows the grams of fiber per serving for each flavor of oatmeal at a grocery store.

3, 6, 3, 4, 2, 4, 4

3, 5, 2, 1, 4, 1, 2

Create a histogram that correctly displays the data.

Box 1 -> 2

Box 2 -> 6

Box 3 -> 5

Box 4 -> 1

Which box plot represents a symmetrically distributed data set?

figure C

Twenty students in Class A and 20 students in Class B were asked how many hours they took to prepare for an exam. The data sets represent their answers.

Class A: {2, 5, 7, 6, 4, 3, 8, 7, 4, 5, 7, 6, 3, 5, 4, 2, 4, 6, 3, 5}

Class B: {3, 7, 6, 4, 3, 2, 4, 5, 6, 7, 2, 2, 2, 3, 4, 5, 2, 2, 5, 6}

Which statement is true for the data sets?

The mean study time of students in Class B is less than students in Class A.

Which data set has the greatest spread?

Set A - {84, 91, 87, 77, 94, 89, 74}

Set B - {89, 73, 84, 91, 87, 77, 94}

Set C - {73, 84, 89, 88, 77, 91, 87, 90}

Set D - {84, 89, 88, 82, 91, 87, 99}

NOT: "Set A"

The box-and-whisker plots below show the test scores for Mr. Scott's three math classes.

Based on this information, with which class or classes does Mr. Scott most need to review the material covered on the test?

third period

The histograms below show the finishing times for a swim team's first competition and last competition of a season.

Which of the following are true regarding the data sets above?

I. The first competition's distribution is skewed left, and the last competition's distribution is skewed left.

II. The first competition's distribution is skewed right, and the last competition's distribution is skewed right.

III. The first competition's distribution is skewed left, and the last competition's distribut

I and V

The dot plots show the distribution of heights, in inches, for third grade girls in two classrooms.

Which statement is true?

NOT: "The center of the graph of class 1 is best measured by the mean, and the center of the graph of class 2 is best measured by the median."

A car salesman sells cars with prices ranging from $5,000 to $45,000. The histogram shows the distribution of the numbers of cars he expects to sell over the next10 years.

The salesman has observed that many students are looking for cars that cost less than $5,000. If he decides to also deal in cars that cost less than $5,000 and projects selling 200 of them over the next 10 years, how will the distribution be affected?

The mean will shift to the left.

An art curator records statistics about three new exhibits at her art museum. The mean age of the artifacts and the standard deviation, SD, for each exhibit are recorded in the table below.

Exhibit A Exhibit B Exhibit C

Use the information in the table to complete the following statement.

Exhibit _____ shows the least consistency in the age of the artifacts in the exhibit, because its _____ is the _____.

1. C

2. standard deviation

3. highest

A cross country coach records the number of miles his athletes on the Junior Varsity and Varsity teams ran today and displays the data in the provided dot plots. Given the shape of each distribution, determine which measures of center and spread are appropriate for him to use to summarize the data from each team.

JUNIOR VARSITY TEAM:

- Measure of Center: mean

- Measure of Speed: standard deviation

VARSITY TEAM:

- Measure of Center: median

- Measure of Speed: interquartile range